Find the logarithm. 1 log 5 625

Q: Given the three functions below, which expression equals (zo go t) (x)? g(x) = |3x| Answer 6 ○ |3 (8…

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Q: 8. Find the local maximum and minimum values and saddle point(s) of the function ● • f(x, y) =…

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

Q: The velocity function v(f) (in meters per second) is given for a particle moving along a line.…

A: We have to find the displacement and distance travelled by a particle in the given interval.We will…

Q: Consider the following function. g(x) = (x - 2)²-9 Step 3 of 4: Find two points on the graph of the…

A: Consider the function

Q: A biologist has two brine solutions, one containing 2% salt and another containing 8% salt. How many…

A: The objective of this question is to find out the amount of each brine solution needed to create a…

Q: Find the area of the region bounded by: p2 = 72 cos 2

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Q: Write the expression as a sum and/or difference of logarithms. Express powers as factors. In…

A: Let, .We know that,

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

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Q: Express in terms of logarithms without exponents. log(x³y4z)

A: Let,C=

Q: Use logarithmic differentiation to find the derivative of y with respect to the independent…

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Q: 4. 14: I can evaluate a definite integral using geometry or the FTo C. The graph of f is [4, 8] the…

A: graph

Q: 3x dx 1+e³x

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Q: The equation of a hyperbola is (y + 3)2 - 16(x-3)² = 16. a) Find the center, vertices, transverse…

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Q: Test the series for convergence or divergence. 72 = 1 (-6)m+1 48m

A: To test the following series for convergence or divergence.

Q: d. h(x) = x3 3 -2 - 2x² + 4x, 0≤ x < ∞0 e. f(x) = √25-x², -5 ≤x≤ 5 f. g(x) = 0≤x≤ 1 x-2 x²-1'

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Q: Let A(x) = √² ƒ 4 3 T -2 el -4 -5 * f(t) dt, with f(z) shown in the graph below. 3 At what a…

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Q: Gilbert Strang video 'Min, Max and Second Derivative,

A: The objective of the question is to understand the concepts of minimum, maximum and second…

Q: The sales of a new high-tech itern (in thousands) are given by S-104-8003 where t represents time in…

A: The rate of change is equal to derivative of function given.So at first we would differentiate S(t),…

Q: number. Fr 11. The sum of the measures of the three angles of a triangle is 180°. The middle-sized…

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Q: •3 L₂(³- -2 - (3 - x) dx

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Q: Find the arc length of the graph of (y − 1)3 = x2 on the interval [0, 8]

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Q: Fill in the blank Thank you

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Q: Since, the only critical number in the interval [0, 5] is 2, test the values of f(x) at this number…

A: The objective of the question is to find the values of the function f(x) at the critical number and…

Q: 2 Assume that f'(2) = -9, g'(3) = g(3)=2, and y=f(g(x)). What is y' at x = 3?

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Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, Kindly…

Q: Find the radius of convergence and the interval of convergence of the series. n=1 8n-1

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Q: Determine the integral by making the appropriate substitution. √ 2x (x² +17) 3³ dx

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Q: = sin(x),0 ≤ x ≤ π

A: Given that the expression

Q: (b) Use Desmos to graph the surface area function on the following coordinate system. Label each…

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

A: To evaluate the following integral.

Q: Solve the following Initial Value Problem. dy dt - y= sec² (t) + 3 sin(t), y() = 1

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Q: Given f is concave down and ƒ (4) = −2 and f1 (4) = 3. What is the estimate for = 4? Is it an…

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Q: Question 1 (i) Determine dy/dx in the following: (ii) y = cos(x³ - 2x) y = x²-2 sin x y² −2(x+y)+x²…

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Q: Find an antiderivative F(x) with F'(x) = f(x) = 5e" and F(0) = 0.

A: F′(x)=f(x)=5ex and F(0)=0

Q: Find a, b, c, and d such that the curve ?=??3+??2+??+? has its tangent line at(1, 1) and at (0, -2)…

A: The objective of this question is to find the coefficients a, b, c, and d of the cubic function y =…

Q: Given that ß = 101°, y = 24°, c = 15. Which of the following equations solves for a? a) a = (15 sin…

A: Given that the triangle we have to find choose the correct option

Q: 13. If there are initially 2000 bacteria in a culture, and the number of bacteria double cach hour,…

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Q: A cup of coffee has cooled from 98°C to 50°C after 10 minutes in a room at 25°C. How long will it…

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Q: Let g(x) = f(t)dt, where f is the function whose graph is shown. y f 20 (a) Evaluate g(0), g(4),…

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Q: (11,20) (11,20) Show that (40) fdx+ gdy = f(4,1) 24x²y³dx + 40y^³dy is independent of path: J(4,10)…

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Q: (1) Let C₁ and C₂ be arbitrary constants. The general solution to the homogeneous differential…

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Q: The graph of a one-to-one function f is given. Draw the graph of the inverse function f¹. For…

A: The graph of a​ one-to-one function  is given. To draw the graphof the inverse function .

Q: Write v as the sum of two vectors, one in Span {u₁) and one in Span (u₂,43,44). Assume that…

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Q: 45-74. Definite integrals Use a change of variables or Table 5.6 to evaluate the following definite…

A: According to the bartleby guide line we do only first part of multiple questions.(46) Let assume,

Q: Find the value of (f o g)' at the given value of x. Assume that f'(3) = 6, g'(4) = -5, g(4) = 3, and…

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Q: se the I.V.T and Rolle's Theorem/M.V.T to prove that the equation below has a unique lution in…

A: 1) x47+8x-2=0, [0,1]2) -x100+6x+2=0, [-1,0]

Q: Find the point of intersection of the lines given below and then find the plane determined by these…

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Q: 5. Find two antiderivatives of f(x) = x0.8 - 3e²¹ + π cos(2x)

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Q: Find f such that f'(x) = 9 √x f(9) = 59.

A: f′(x)=9x,f(9)=59

Q: 2 x(x²-1) dx x²+1

A: To evaluate the following integral.