Consider the function f(x) = The value of f'(0) is: (x+ 1)2

Q: Find the inverse transform, indicating the method used and showing the details: 2s - 10 -5s 1. s3 3s…

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Q: Obtain the differential equations satisfied by the given puiiicular 3. y = e5x - 3x - x2 4. y = e3x…

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Q: a?z B. For each of the following functions z, find a2z and ду? a²z дх? дудх' дхду" 1. z = 2x2 – 5xy…

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Q: Find, the genetal Solution o the differehtial equation (2x+Y-3) dy= +2Y-3)dXf %3D

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Q: Suppose the symmetric equations of lines l, and l2 are = 2 – y = z and x = -1, = respectively.

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Q: , can you draw the graphs clearer? or maybe in digital?

A: Given problem:- Draw the figure which represents area bounded by given curves 1) y= x2+2 , x=2 and…

Q: S 23x26 + 35 + x2-16 dx x-4

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Q: the function f(x) = xe-* is concave upward on Select one: O (-00, 2) O (2, co0) O (-00, 1) O (1, 0)…

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Q: 5. S , dz dy dx 2 c3

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Q: x2 - 3x -7 dx (x2 + x + 2)(2x - 1)

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Q: Evaluate the indefinite integral, ſx² sinh x³ dx.

A: To evaluate: I=∫x2sinh x3dx⇒I=∫sinh x3  x2dx

Q: .4 dx 2 Vx2-2

A: Given:        ∫24dxx2-2 Apply trigonometric substitution:    substitute x=2sec u and dx=2 sec u tan…

Q: All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface…

A: We have to solve above problem.

Q: Volume of Solid Revolution(Circular Disk/ Washer Method) Find the volume of the solid generated by…

A: Given problem:- Find the volume of the solid generated by revolving the area bounded by the given…

Q: PART

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Q: Find a formula for the nth term of the sequence. 1, - 16, 81, - 256, 625, ... Determine the…

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the specified…

A: Since you have posted multiple questions as per guidelines we can solve only one question at a time…

Q: 1. In the chart below, you are given a formula. Name the formula. Formula Name of the formula/what…

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Q: a. Lim x2 + X - 2 X→1 2x2 - x – 1

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Q: Let F(x) = (f(x))² + (f'(x))², F(0) = 6, where f(x) is a thrice differentiable function such that…

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Q: A deli sells 720 sandwiches per day at a price of $6 each. ... A market survey shows that for every…

A: Let price reduce x times Price of deli = 6 - 0.1x Number of deli sells = 720 + 20x   Revenue

Q: f 3p2tanip dp

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = e Y (x? +y?) +…

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Q: Use the Linear Approximation to estimate Af for f(x) = , when a = 2 and Ax = 5+x2 (Use decimal…

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Q: 1 0 0 0 0 1 2 -6 2 -8 10 1 0 1 0 3 -2 -5 -16 |

A: We have to multiply: 1000012-60010003-22-8-5-16

Q: 1. Find the equation of the plane containing the lines L1 and L2 given below: z = 4t + 3 z = -4s – 1…

A: Given :L1:  x=2t+1, y=3t+2, z=4t+3L2 : x=s+2, y=2s+4, z=-4s-1

Q: B. For each of the following functions z, find az az a2z and дх? дудх" дхду ay2 1. z = 2x? – 5xy +…

A: We know that when we differentiate a function partially with respect to 'x' , other variables of…

Q: For numbers 12 14. A parabola defined by the equation x+3 = (y + 2) is translated 4 units down and 3…

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Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

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Q: 4s + 12 82 + 88 + 10 4e-4t 4te-4t 4et + 4tet - Option 3 Option 2 4et 4tet - None of the choices…

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Q: "Definite Integrals" 1. sin | COS dr -

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Q: -2 2 dy 7e + 5. -5

A: To find out the definite integral.

Q: -2t e "(cost+3 sin t)

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Q: A. For each of the following functions z, find and дх 2. z = tan 出一郎

A: Explanation of the answer is as follows

Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)

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Q: 10 Find the derivative f' (0) of f(x) = at х+4 O using the laws of differentiation.

A: f(x)=10x+4DIfferentiate w.r.t.xf'(x)=ddx(10x+4)Take constant outf'(x)=10ddx(1x+4)f'(x)=10ddx(x+4)-1…

Q: Set A: Problem # 6 Fnd the eaquation of the line tangent to FG) = cos?x- sin*G) sin ) at

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Q: 1 2" 3" 1 Find the sum of the convergent series. n-4

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Q: sin x S + 3x)dx 1. cos x dx 8 sin?x cos²x 4. 了 1 2. 了 dx 1-cos x 5. J sec x(sec x – tan x) dx 2 secx…

A: These all are solved by the help of standard trigonometric Antiderivative.

Q: _1. What is the integral that describes the enclosed region between y = 4x- x and the x- axis ? A.…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: 1. The figure shows the graph of a function f (x) with domain 0 < x < 3. Which of the following…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Evaluate the following integrals using Trigonometric Substitution: 1. X-1- 16x dx

A: integration using substitution

Q: dx 4x2 -8x + a a. S そ m 14cx-0+51+ s5 tom'/22 4 -2 b. I m1a(x-1)"+51-55 toni" )+c Ciln14 Cx-1)+sl+…

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Q: S e6m sin m dm Integration by Parts

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Q: The circumference of a sphere was determined as 84 cm with a possible error of 0.5 cm. Estimate the…

A: We will use the formulae of circumference and volume of sphere to solve this question.

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

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Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction…

A: A detailed solution is given below.

Q: 1. Consider the lines x = -1+ 2s by:- = and t2: y=s x – 5 l1 : 3 – z %3D 4 z = 5+ s а. Find two unit…

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Q: Obtain the differential equations satisfied by the given particular solution 2. y = 7- 2x +e* 3 1-…

A: Hi there! Thank you for your question. Unfortunately as per our guidelines we are restricted to…