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Q: 3. 1 1 2 4 1 To find the blue shaded area above, we would calculate: | f(x)dx area а Where: a = b :…

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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: Let f(x) tan-(cos(32)) f'(x) =

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Q: 10. Find the unique solution of the second-order ivp: y" + 16y = 0, y(0) = 2,y'(0) = -2

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Q: sin(n +h) – sin . lim- а. 1 b. 0 C. -1 d. * е. -00 h-0 h

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Q: g(x) If f(x) then h(x)'

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A: Volume

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

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Q: Sketch the figure or analysis. Shade the needed region and draw representative vertical or…

A: Follow the procedure given below.

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Q: 2. f(x)= 7x2 -19x - 6 at (4, 8)

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Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A: Given ,  Two cars are initially 1200 miles apart  At the same time Car A starts driving at 35 mph to…

Q: 3. A rectangle is inscribed under the curve of f(x) = e-*², where one side of the rectangle lies on…

A: Follow the procedure given below.

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

A: Here to of the function is at point (1,5), On left side function is increasing ,and at right side…

Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

A: This question can be solved using the concept of absolute maximum.

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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: Use the ratio test to determine if the following series converges or diverges. 7" n=1 n!

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Q: If 1234 cm? of material is available to make a box with a square base and an open top, find the…

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Q: Use the integral test to determine if the series shown below converges or diverges. Be sure to check…

A: Follow next step

Q: Since the start of July, OHaganBooks.com has seen its weekly sales increase. OHaganBooks.com fits…

A: For (a), w'(t)=36t2+252t+6242' =72t+252 For (b), For t=1, w'(1)=72+252=324

Q: BASIC CALCULUS 1. The line segment from (1,–1,3) to (0, –3,1) forms a diameter of the sphere S1.…

A: Given , end point of diameter of sphere A(1,-1,3) and B(0,-3,1). First we need to find centre of the…

Q: dy

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Q: 2. Transform the polar equation into a Cartesian equation. 4 r = 4 + sin 0

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Q: Fonsider the function f(x) = -4x - 6x + 24x on the interval [-3 , 3]. Find the absolute extrema for…

A: Given: f(x)=-4x3-6x2+24x

Q: 17. If lim- X- 200 – 4n + kn² then k =

A: Given

Q: How to find point of intersection?

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

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Q: Test for convergence or divergence, using one of the tests listed below. 1 1 n + 5 n + 6 n = 1…

A: Given query is to find series converges or diverges

Q: 4e-1dx = 7.96 × 10° O True O False

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Q: If f(w) (3w), find f'(w). Use exact values. = COS f'(w) =

A: We can find the exact answer as below.

Q: 6x² – 7x +9 Find the lim Justify your answer. What can you concluc 4x3 +6

A: Given query is to find the limit of the expression.

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: Use the integral test to determine whether the series converges. Σ 4n - 1 n=1 converges diverges

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Q: - 47 f(x)dx = 12 - 51 | and - 47 |. 9(2)da = 20 – 51 and - 47 - I h(x)dx = 32 - 51 what does the…

A: We can solve the integral as below.

Q: Consider the following series. 8 + e-n n = 1 What does the Test for Divergence reveal about this…

A: We know the necessary condition for the convergence of a series. A series ∑nan   is convergent…

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Q: Use an appropriate test to determine whether the following series converges. 7 Σ 3 k =1 VK

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

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Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

A: Use area concept of integral

Q: E. Find the value of D, E, and F of the following circle that passes through (-1, 4)(3,2) and (5,2)

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Q: Find (3+2) - 2i . 406 754 386

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Q: Use the Root Test to determine whether the series convergent or divergent. 00 n2 + 6 Σ 2. 5n + 2 n =…

A: Given: Here, an=n2+65n2+2n.

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Q: 7 Find the average value fave of f(x) = x' between -1 and 1, then find a number c in [-1,1] where…

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Q: Compute f'(1) where f(x)=1/2 e-2x + ln(x2 + 1)

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Q: A stone is thrown straight up from the edge of a roof, 950 feet above the ground, at a speed of 12…

A: