Given x² + 13x + • 40 f(t) = 1+ cos2(x) At what value of t does the local max of f(t) occur? rp- t =

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Observe the given graph and decide whether function is increasing or decreasing.

Q: Find the limit. Show all work. 2x2 – x-3 2. lim X→-1 X+1

A: Use limit concept

Q: dy

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Q: Use the chain rule to calculate the first derivative of the following 19. (2x + 6)3 20. In (3x - 2)…

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Q: 5. Evaluate the expression without using a calculator. Show all steps. (a) sin (4) (b) cot(-210°)…

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Q: dS u dt %3D S Integrating between time 0 and time T, we get ST = SoetT

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Q: Evaluate the summation S -1. 35 85 55

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Q: Consider the series E (-1)"(3x+6)" . Find the series radius and interval of convergence, n=0

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Q: 4. 2 cos(2x – y) dx – cos(2x – y)dy = 0 - %3D

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Q: 6. 2y²e»² dx + 2xye»*dy = 0

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Q: how the following series is conditionally co -(-1)" Wi

A: Given

Q: The graph of f is given. Use the graph to compute the quantities asked for. (If an answer does not…

A: Above asked questions are given below.

Q: Given Rn 2 4 2 6( 6 + i- 2 3(6 + i- express n i=1 n n the limit as n → 0 as a definite integral,…

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Q: 21. Determine the value of k so that i = [- 5,k, 3] and i = [1,2, – 7] are orthogonal.

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Q: a. Examine the function. Determine the key features. (C4) i. Domain (1, 2.7) ii. Range iii. Sign of…

A: Given problems:-

Q: Use the direct comparison test to determine if the following series converges or diverges. sin?n Σ…

A: Solve the following

Q: can i see how you get 95.33?

A: Apologies for the inconvenience.   The given function is:  fx=3lnx5fx=3×5lnxfx=15lnx   Given that…

Q: 1 6. Find dx. V2x2 –8x+2

A: Solving

Q: sinx, x<0 x², 2-x, 1sx<2 |x- 3, x22 Osx<1 15. Let f be the function defined by the following. f(x) =…

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Q: An object weighing 1000 pounds sinks in water starting from rest. Two forces act on it, a buoyant…

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Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 7 sin(x). If f(0) = 2 and f'(0)…

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Q: . Find the point(s) on the graph of the curve f(x)= x 3 /3 +3x+4/x the tangent is horizontal

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Q: (x + 5)" Σ 5 In(n) n = 2

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Q: If f(x)=-(x² – 4), find (a) The x-intercept and the y-intercept (b) The interval where the function…

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Q: Given that f(x) = a°h(x) h( – 1) = 3 h'( – 1) = 6 Calculate f'(- 1). Hint: Use the product rule and…

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Q: Which is the power series representation (a) n! n=0 (b) -1)". (2n)! n=0 2n+1 (c) X-1)* (2n + 1)! n=0…

A: We have t

Q: 3x + 1 Consider the function f(x) Compute each of the following. Simplify your answer and use x - 3…

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Q: Evaluate the integral. 2 dt 1- t2 V

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Q: Suppose z is a function of x and y satisfying the equation rey + ye" + ze = 1. Use implicit dz dz…

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Q: Demand Function: d(x)= 500-0.6x Supply Function: s(x)= 0.2x Find the Equilibrium quantity= Find…

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Q: cos(26)= 0.647 Convergent Therefore, the sum of the series is the following. (If the quantity…

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Q: The series 32n-54-1 -2n is n=1 Select one: O a. is a divergent geometric series. O b. is divergent…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -120 feet per…

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Q: power series converges at a single a. what is the radius Of ConvergCnC (c) R=0

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Q: 5y² = 2x³ – 5y

A: Derivative with respect to x

Q: 4x +4y+ 8x - 16y = 44 %3D

A: Topic = Geometry

Q: How to find point of intersection?

A: You have to sketch the graphs using a graphing calculator like this:

Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

A: The given differential equation,     dydt=16t7

Q: 14. Given the vector form of a line in three-space to be [x, y, z] = [2,6, – 3] + t[4,10,6], find a.…

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Q: Solve for fxx, fxy, fyx and fyy given f(x, y) = 2 ln(x − y).

A: The given function is:fx,y=2 lnx-y.We need find fxx, fxy, fyx and fyy

Q: a 0 0 0 0b0 0 11. Using cofactor method, prove that det M = abcd %3D 00c0 0 0 0 d

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Q: Find the maximum and minimum values of the radius of curvature for r(t) = ⟨cost,sin t,sin t⟩, if 0 ≤…

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Q: Determine how many acres are in 6.7312 x 10" square kilometers. What is your calculated answer most…

A: Given query is to convert square kilometres to acres.

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

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Q: mental Theorem of Calculus to fin

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Q: 2x³+2x+7x²+9 2x+3 6- 2.

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Q: 5. Given y=af(1 Find when =1 if f(2) = tand f(2) = 5.

A: Topic = Derivative

Q: Directions: Prove the following statements. 1. If f(x) = (x² – 1)3 then f'(x) = 6x3 – 12x + 6x.

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Q: please kindly provide a clearer picture of the answer and solution, I cannot properly view it. thank…

A: Kindly refresh the page if you do not see the solution properly. I am sharing the image form of the…

Q: Draw the graph, identify the region, and sketch the representative rectangle. Label the graph…

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