If f(x) = f"(2) = x² 2+x find f"(2).

Q: Find the first, second, and third derivative of the following function. h(x) = (-8x-4)³ a. h'(z) =…

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Q: Exercise (b) Step 1 Step 2 Note that Step 3 [³ F(X) To evaluate Therefore, ²6²³₁ f f(x) dx Step 1…

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Q: An object is thrown upward on Saturn with an initial velocity of 17 m/s. Its height in metres after…

A: An object is thrown upward on Saturn with an initial velocity of 17 m/s. Its height in meters after…

Q: Find the derivative of the following function. y = 9x 5 2 + 2x 1 2 + x -2

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Q: Suppose that a particle is moving around the plane in such a manner that at time ₺, it is locate…

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Q: Write the quadratic function in standard form. f(x) = 2x² - x + 1 f(x) = Sketch its graph. -10…

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Q: zy² cos(y) 4x²+y¹ 0 if (x, y) = 0 if (x, y) = (0,0). Determine the set of points at which the…

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Q: USE INTEGRATING FACTORS I. Find the General Solution: Answer is already given. 18. 2y(y²x) dy = dx…

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Q: 2. Find the first order and second order partial derivatives of f(x,y) =x. Make sure to show your…

A: The given function is Note:-Since you asked parts 6 and 7 for the given problem but here in given…

Q: A. Evaluate the following limits: 3x²-2x-8 x-2 ii. lim 4x²-3x² +5x-2 i lim 4x²+x-7 5x² +7x+1 i lima

A: Since you have posted multiple question, which are not interlinked so i have solved the first…

Q: The volume of a right circular cone of radius & and height y is given by V = the volume of the cone…

A: Given:

Q: Let R(s, t) = G(u(s, t), v(s, t)), where G, u, and v are differentiable, and the following applies.…

A: Given that  where G,u and v are differentialblle functions

Q: df-1 For the function y=f(x) = x² + 2x - 6, x> -1, find dy (ƒ-¹)'(1) = y=1

A: For the function .To find .

Q: Find the indefinite integral. (Use C for the constant of integration.) 3t | vi √ 1 - 9t4 dt

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Q: Let f be the function below. You may click on the graph to make it larger. W

A: Given graph of function

Q: The graph of f consists of line segments and a semicircle, as shown in the figure. Evaluate each…

A: This is question of integration Here piecewise geometric integration is given in graphWe have to…

Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) =…

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Q: 25. xVy + y = 10; (1,8)

A: Given, .Given point is (1,8).

Q: 23 f(t) = (t, t Between = 0 and = 1, the point traverses certain path. The length of that path is

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Q: For each of the following equations, find the derivative dy dx (a)y = 47 ← (b)y=e7x ⇒ (c) y=x7 ⇒ (d)…

A: Given data

Q: A function f is defined below. Use geometric formulas to find f(x) √2, - X, = 4 frª FCX 6² x < 2 x ≥…

A: We have given,    Integrate f(x) dx from 0 to 4.    f(x)= 2 when x &lt; 2    f(x) = x when x&gt;=2 .

Q: two sides of a triangle have lengths 10 and 13. the angle between them is increasing at a rate of…

A: We have that the two sides of a triangle have lengths 10 and 13.Let x be the required third side of…

Q: If f(x) f'(x) = f'(4) = 3 sin z 3 + cos x then

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Q: Find the annual percentage yield on a bond earning 6.25% if interest is compounded (A) Monthly (B)…

A: Bond earning= 6.25%= 0.0625

Q: 1. Let a=⟨0,1,−5⟩ and b=⟨4,0,1⟩. Compute: 3a+4b=⟨ _____,_____ ,______ ⟩ |a|= __________

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Q: Find the indefinite integral. (Use C for the constant of integration.) 13 12 dx 1+ 4x²

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Q: Determine whether the equation is exact. If it is, then solve it. e'(7y - 4t)dt +(3+7e¹) dy = 0 A.…

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Q: USE INTEGRATING FACTORS I. Find the General Solution: Answer is already given. 6. u dx + (1 - 3u)x…

A: To find: The general solution of the above differential equation.

Q: Consider the function f(x) = 2x³ + 3x² + z-4 Find the average rate of change of this function on the…

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Q: The graph of a function is given; each grid line represents 1 unit. Use the graph to complete parts…

A: Domain is the value of x for which the function is defined. Domain of the function is : (-2,7) Range…

Q: Use the given values to evaluate (if possible) three trigonometric functions cos x, csc x, tan x.…

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Q: If f(x) = 4x sin x cos x, find f'(x)= Find f'(5)=

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Q: u dx + (1 -3u x du = 3u2e3u du 3u)x

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Q: Set up (but do not evaluate) an integral that expresses the area between the circles 2 2 2 2 x + y²…

A: To find the area between the circles x^2+y^2=2 and x^2+(y−1)^2=1, you can set up a double integral.…

Q: The general term for the sequence 2, -6, 18, ... is

A: Given sequence is as follows From the sequence we can interpret as follows Given sequence is a…

Q: Set up a DE with initial condition(s) for the situation: Frank's automobile engine runs at 100…

A: Frank’s automobile engine runs at 100 degree-C.The outside temperature is 21 degree-C.He turns off…

Q: Find the average value of the function over the given interval and all values of x in the interval…

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Q: The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and…

A: This is question of calculusHere rate of change is given We have to find displacement.Further…

Q: USE INTEGRATING FACTORS I. Find the General Solution: Answer is already given. 8. y' = cscx +ycotx…

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Q: USE INTEGRATING FACTORS I. Find the General Solution: Answer is already given. 2.2(2xy +4y - 3) dx +…

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Q: The curve is known as the Folium of Decsartes. In 1638 the famous philosopher, diplomat, soldier and…

A: The given curve equation is

Q: Find all solutions of the following equation in the interval [0, 2π).    sin^3x=sinx

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Q: Use the disk method to set up (do not evaluate) an integral that calculates the volume of the solid…

A: If the rotation occurs about the line parallel to the x-axis, Then the formula for disk method can…

Q: for g(x) = ln(1-x^2) and f(x) = sqrt(x + 3), determine the subset of the domain of g on which the…

A: To determine the subset of the domain of g(x)=ln(1−x^2) on which the composition f∘g is…

Q: Let f(x) = g(x) h(x) and consider the following table of values: The value of f' (-9) is Number…

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Q: Use the method for solving equations of the form =G(ax + by) to solve the following differential…

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Q: Use Laplace transforms to solve the following initial value problem. x' + 2y' + x =0, x' - y' + y =…

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Q: The total cost (in dollars) to produce q units of a good is given by the function: C(q) = 4.9q +…

A: Given, C(q)=4.9q+41000

Q: USE INTEGRATING FACTORS I. Find the General Solution: Answer is already given. 12. y' = x - 2y cot…

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Q: 19. Sketch the graph of the piecewise-defined function. Write the domain and range of the function.…

A: To sketch the graph of the piecewise-defined function. To write the domain and range of the…