y II. y f'

Q: 2x3 – 9x2 + 11 dx x2 – 4x + 1

A: We know, ∫dxx=lnx ∫xndx=xn+1n+1 for any real number n.

Q: e* cos (7e*) cos (4e*) dx Evaluate: --cos (3e*) -cos (11e*) + C (A 22 B 6 (3e*) +cos (11e") +c cos…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 3 1 lim (?,?) 6t2 + 7' 3t

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Q: The 3rd term of an arithmetic series is 34 and the 17th term is –8. Find the sum of the first 20…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: dx 3. S7 ex – 49 4. fx² Cot-(x) dx

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Q: Find an equation of the plane that is parallel to the plane x + 2y – 7z + 15 = 0 and contains the…

A: A detailed solution is given below.

Q: Graph the function (x – 2)² + (y + 3)² = 4 in Desmos. The points on this circle can also be…

A: Given equation of circle is x-22+y+32=4Parametric equation of given circle is x=2cosθ+2,…

Q: Find the area enclosed by the curves y = y = 2 1– 9x2 (A B © i- 3. 2π

A: The area enclosed by the curves,y=11-9x2 and y=2

Q: Find the derivative of y = 2 + v2 + vx5 |2 + V2 + Vx5

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Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). r(t) = t°i + t°j K(t):

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Q: Show clear and detailed solutions. Given: Let A = (1,0, 2) and B = (6,–2, 3) Solve and calculate for…

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Q: 1 xy Let f (x,y) =In . Then f (1. – 1)=..... 3x²+4y3 XX

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Q: d) t2 = 6,t3 = 12,t10 =x %3D

A: Given, t2=6t3=12Aim : to find  t10.We know that tn=arn-1Where a is first term,r is common…

Q: Evaluate the following limit: x1-14-V2 lim,-2 r-16

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Q: 2. Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 3°, where t is given in…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: (x+6)dx (x+2)*

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Q: (a) A spring exerts a force of 12.8N when stretched 1.6m beyond its natural length. Assuming that…

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: 2-1)"13_n+6 3n +1

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Q: xdy – ydx The exact differential what is the d

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Q: Integrate completely

A: Solution-

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-4, 0,…

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Q: Find the derivative of the function using y = sin3x using 4 step rule. a. b. Find the first…

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Q: Based on the figure below, how many regions are involved? * x(t) h(t) -2 -1 1 2 3 4 None of the…

A: This is a problem related to number of regions in the sense number of interval for the given graph.…

Q: Find the area of the parallelogram that has u =i- 2j + k and V=2j+ k as adjacent sides. NOTE: Enter…

A: Find the area of parallelogram

Q: Given the power series 00 2" (x + 4)" n =0 n! Find the "Radius of Convergence" for the series. (A L…

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Q: whole number.)

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Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); u =

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Q: List all angles (in radian measure) between 0<x<47 2 sin(x) + 1= 0 such that

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Q: Mountain officials want to know the length of a new ski lift from A to C, as shown in the figure…

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Q: From Rogawski ET 2e section 10.2, exercise 12. Write S = E 1 as a telescoping series and find its…

A: The summation of 1/[n(n+1)] , n from 7 to infinity.

Q: dx Evaluate: xV x² + 4 None of the given choices +4 - 4 + C 1 4 V x< +4 + 4 x² +4 – 4 + C x<+4 +4 x²…

A: integration

Q: A line is tangent to y = -4Vx when x = 1. What is the coefficient of x when the line is in the form…

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Q: x² – 25 The antiderivative of - dx is / x2 – 25 – sec-lx+ C.

A: Given,            The antiderivative of ∫x2-25xdx is x2-25-sec-1x+C.To find : To check the…

Q: 2. Computing Derivatives; Compute each derivative using the derivative rules: d (a) (cos-(1+ 2*) +…

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Q: Find the maximum product of two positive numbers given that the sum of the first number and twice…

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Q: (26ー1) 不t8

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Q: /3 In (x+ 1) e series representing the integral -dr is given by A. (-1)"+1 n=1 3" (n+ 1)2 В. (-1)"+1…

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Q: The head of the vector v is pointed at (7,-2) denote it by A and the tail of the vector v is located…

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Q: Hw2 Integrate the fottowing functens over the given regiont- f cxxy) and %3D f(xay) by-2x and 2- %3D…

A: we can solve as follows

Q: 2In(sin) de tan() 02

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Q: Two functions g(x) and h(x) have derivatives g'(x)=2x2-10x+8 and h'(x)=6x-16. The graphs of g'(x)…

A: Given problem:- Two functions g(x) and h(x) have derivatives g'(x)=2x^ 2 -10x+8 and h'(x)=6x-16  To…

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i + 11 sin(t)j +…

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Q: Q2. 4. Given vectors P= 4i - 2j 5k: Q = -i+ 3j - 6k: find PxQ. Select one: O a. -3i + 19j - 1ok O b.…

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Q: Two straight highways are perpendicular to each other. Car A is moving at 100 km/hr away from the…

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Q: a) Determine whether the following differential equation is a type of linear equation or not, i.…

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Q: Find the Indefinite Integrals of the following: -3x* + 4x5 35 – sx . V1 – 1. 5* + 2 dx

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 4, -4) and the vector component of v…

A: As we know that; The expression for the vector component of v along b is: Vector component of v…

Q: Question 10

A: We have to find equation of plane that is parallel to the plane 6x-5y+8z+18 =0 and  the pale passes…

Q: dv = dx = v=x V = 1-a'x 1-a'x

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Q: (1-2=) dr

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