8. The value of f sinh* x cosh³ x dx

Q: Evaluate the integral. (Assume a b. Remember to use absolute values where appropriate. Use for the…

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Q: •oodwi For any real sequence, lim Xn Yn = Tim (x₂) tim(yn)

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Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

Q: Find the acceleration (in ft/sec²) of the boat when there is a total of 10 feet of rope out. (

A: Follow the procedure given below.

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A: We have to write,What is the relationship between a point on a function and a point on the inverse…

Q: Using double integration ,calculate the volume of the solid bounded by the surfaces given by x2 + y2…

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Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

A: From the given graph, we discuss about the discontinuous points and its types

Q: Find a formula for the nth term of the sequence. 1, 4, 9, 16, 25,... Determine the sequence's…

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Q: Given F(x) below, find F'(x). Provide your answer below: F'(x) = = [₁²₁ F(x) = In (61-3) dt

A: Solution :Leibniz integral formula.ddx∫gxhxftdt=h'xfhx-g'xfgxFx=∫6xln6t-3dtF'x=dxdxln6x-3-d6dxln66-3

Q: 1. Find the area between y= |x|^y=2-1x₁

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Q: a)₁- b) [ : Evaluate the integral 3x - 1 (x + 4)(2x - 1) : Evaluate the integral dx x√x² - 64 6 c)…

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Q: Use logarithmic differentiation to find dy dx y=x√x² +1 note x > 0

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Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

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Q: Use either integration by substitution x² +1 S x³+3x+5 dr given that A-5 and B=7 Give your answer to…

A: We need to evaluate the following integral ∫ABx2+1x3+3x+5dx, A = 5 and B = 7

Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: Cost of membership plan = $40 Let No.of driving hours = x

Q: To evaluate the integral 3 100 + x² -dx, which of the following substitution shou be used? Select…

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: en f(x) = (4x + 1)² ' g the chain rule? what is the first step to find f'(x) Find the derivative of…

A: We have to find out derivative using chain rule

Q: Find the area of the region bounded by the graphs of the equations. 9 x = 1, x = e, y = 0 x

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Q: Question vector equation r(t)=. Show that the point Let C be a curve defined by the P(-5, 11, ¹) ies…

A: Solution of given question is written in below steps.

Q: Find dx X O A. O B. O C. O D. 16 4 **** 5√x 5 X 16 3 X i - 4) - 1x -20% √x - 4√x 5 X 16 3

A: We need to find derivative.

Q: I cant underestand this please write on paper

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Q: Find ду ах if 2 Y = (x²+1) • 1₁ (x² + 1) In

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Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: Solve given differential equation. (2y+t)dy+ydt=0

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Apply Green's Theorem to evaluate the integral. (3y + x) dx + (y + 5x)dy C: The circle (x - 2)² +…

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Q: O Differentiate Y 2 +1 3/2

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Q: ,2_2t A particle moves along a straight line with a velocity v(t) = t²e²¹ meters per second after t…

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Q: 3. a. -2 s = cos ¹(sin z) b. 1 C. -1 d. 2

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Q: Find the absolute minimum of the function f(x)= = 02 GW/N 0.3 4 O 1 0-2 01 2 2x x2 +4 on the…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: This question can be solved using the concept of point of inflection.

Q: Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) h, where h ≠ 0. f(x) =  4x x − 3…

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Q: Write the following using sigma notation: The sum of the terms ()* for k = 2, 3, ... 10. Provide…

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Q: lim n-78 √√3n+2 3ntz 1 h

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Q: Question show that the limit does not exist. a Find the limit, if it exists, or b) lim (x,y) →(0,0)…

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Q: A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per day…

A: This question is based on derivative application.

Q: Find an equation of the tangent plane to the given surface at the specified point. z = 4(x - 1)² +…

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Q: An inverted square pyramid has a height of 8 feet and a top edge equal to 3 feet. Initially, it…

A: Concept: The term "square pyramid" refers to a three-dimensional geometric form with a square base…

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: For the given functions f(x) (1) (fog)(x) = (2) (gof)(x) = (3) (ƒ ○ f)(x) = (4) (gog)(x) = = 8x + 5,…

A: Let's find all given function.

Q: Evaluate the integral [x Select one: O Inx+C O O 3 O None of them O O - 3 X 3 xả ln xdx Inx-+C 3 с 3…

A: Here is the solution:

Q: r(t) = (-2 cos (2t), 3 sin (3t), ln (2t)), then the fr(t)dt is equal to 3 -cos (3t), tln (2t) - t) +…

A: Here we find the correct option,

Q: x² 4+x² 2 dx

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Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

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Q: Graph the line with slope 3 passing through the point (-2,-2). 4

A: NOTE: Refresh your page if you can't see any equations. . the given slope is  and the given point…

Q: each of the following cases, find the area of the region that lies inside both the curves. a) r= 1,…

A: Please see the below picture for detailed solution.

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: This is a problem related to linear approximation of the function. Based on the general formula and…

Q: Find a function whose graph is the given curve. the bottom half of the circle x2 + y2 = 4 f(x) =

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Q: Consider the following. y = x² y = 12 - x K 16 14 12 -2 10 B 6 4 2 2 8 10 12 (a) Find the area of…

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