y=√x, 0 ≤x≤ 81

Q: me limit definition of the derivative to find dx for f(x) = √-4x.

A: Given that the expression

Q: 1. Find the equation of the line that goes through the point (1, 5) and 3 is parallel to the line y…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 9. The graph of y = 4x² - 5x is translated 2 units in the positive vertical direction and 3 units to…

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Q: 224. Suppose that a particle moves along a straight line with velocity defined by v (t) = t² – 3t –…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: The graph of a polynomial of degree 5 is shown. State the number of real zeros and the number of…

A: As we can see, the graph crosses the x-axis at x=-2So x=-2 has a multiplicity of 1The graph touches…

Q: sin x lim X→0 xX tan x m. n. lim x→0 X

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Q: Estimate the average value of f(x) from x = a to x = b. 28 21 f(x)

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Q: The approximate rate of change in the number of design patent applications received in recent years…

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Q: This problem tests calculating new functions from old ones: From the table below calculate the…

A: The function values  are given in the table.The aim is to find the values of .

Q: Evaluate the integral. 3 f(x) dx where f(x) =26-x² if -4 ≤ x ≤ 0 if 0 < x≤ 3

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Q: 3. Solve (3x + y)dx + (x+2y)dy = 0

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Q: Find the areas of the shaded regions in

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Q: Convert the point with cylindrical coordinates 11π 13, 5 to Cartesian coordinates. Enter your answer…

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Q: Suppose g is a function which has continuous derivatives, and that g(0) and g"" (0) = 18. What is…

A: Suppose  is a function with continuous derivatives, and that .To find the Taylor polynomial of…

Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

A: Here

Q: A company has found that the cost, in dollars per pound, of the coffee it roasts is related to…

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Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

A: Since the subparts a,b and c of question 1 have been answered i suppose you want the answer for part…

Q: Find the cost function for the marginal cost function. 7 C'(x)=9x; 10 units cost $171.99 X Write the…

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Q: Find the absolute maximum and the absolute minimum for the function x² x + 1 f(x)= x = Absolute…

A: The given function is; f(x)=x2/(x+1) , [-2.5,-1.9]

Q: Determine the radius of convergence, R. R = 1

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Q: nn n=0 4"n! η!

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Q: 1 7. Ση=0 (2n+1)!

A: The given series is

Q: feet per second Preview c. From t = 1.11 tot 11.11 seconds... = feet per second Preview

A: Given that the formula d=9t-10 expresses a car's distancewe have to find the average speed of the…

Q: Let Z₁ = 6(cos(72) 7π -54 Z1Z2 = Z1 = Z2 + i sin (77)) and Z₂ = X 9(cos(55) + i sin (57)). Find Z₁Z2…

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Q: When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium…

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Q: f(x) = (5z – 3)(4: 6(2-0³) 3-20 f(9) = 3 ၁၂ နှ

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Q: Derive the formula of a circle using horizontal strip

A: We need to derive the formula of the area of a circle by using horizontal strip

Q: Find parametric equations that describe the circular path of the following person. Assume (x,y)…

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Q: 5. Find an asymptotic expansion for as x+∞. Cπ/2 o -x tan² t dt e

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Q: √(x ³ ex² + 4x + ex¹ +4x) dx.

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Compute the directional derivative of the following function at the given point P in the direction…

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Q: The system of first order differential equations y₁ = 5y₁ + 1y2 y₂ = −4y₁ + 1y2 where y₁ (0)= 4, y2…

A: The objective of the question is to verify if the given functions y1(t) = (4 - t)e^(3t) and y2(t) =…

Q: A company manufactures and sells x television sets per month. The monthly cost and price-demand…

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Q: The function f(x) = x 4 has a Taylor series at a = 1. Find the first 4 nonzero terms in the series,…

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Q: Evaluate Hint: Using power series. lim x-0 -32-³ -1+3x³ - 2/x6 13x⁹

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Q: e Six dx xX (1+lux)

A: We use the method of substitution to evaluate the given integral

Q: how much is 2*2

A: The question is asking for the product of 2 and 2.

Q: Minimizing Heating and Cooling Costs A building in the shape of a rectangular box is to have a…

A: We have to find the dimensions of the building that will result in a minimal annual heating and…

Q: The curve r(t)= (f(t),g(t)), where f and g are twice differentiable, has f'g'"-f"'g' curvature…

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Q: These triangles are similar. solve for the indicated sides: X X +4 3 LO 5

A: Explaination of the answer is as follows

Q: In a large city, the road system is set up like a Cartesian plane, where streets are indicated by…

A: Given that in a large city, the road system is set up like a Cartesian plane, where streets are…

Q: Find the tangent plane and normal line to In X 2y = z²(x-2y) + 3z +3 at (4, 2, -1).

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Q: se the given information to evaluate each expression. (Enter your answers in exact form.) sin a =…

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Q: Find the ninth term of the binomial expansion. (p+q) ¹¹

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Q: Find the integral of the following function by parts So 0 sec²0 de Ja where a = 6.08, b = 7.05 in…

A: The given integral is

Q: Find the degree 3 Taylor polynomial T3 (x) of the function f(x) = (7x - 1) 4/3 at a = 4. T3(x) =

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Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x (20x²…

A: The given marginal profit function , where  is the amount of cheese sold in hundreds of pounds.The…

Q: Find the point on the curvey=e* + x where the tangent is parallel to the line y = x.

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Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: The graph of the function g(x) is shown as,Since parts a to c are already solved in original…

Q: 11. A car drives towards a 111 m skyscraper at 7.62 m/s. How fast is the car approaching the top of…

A: Given that :Height of the skyscraper =  mSpeed of the car =  m/sTo find :Rate of change of distance…