1 Determine the definite integral of 4 3(Vx) xp (DE + x^)S

Q: 4 Find the arc length of y = (*)* + 70 over [1,2]. 2(x+3)2 (Give an exact answer. Use symbolic…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Evaluate the iterates integrals r*dA D = {(r, y) : 1<r< e, 0< y S In(x)} %3D

A: We will use simple Integration rules to solve this question.

Q: 1.What are the possible values for f"(x) if f"(x) exists and Ax,) > Ax,) for every x1 0 c. f'(x) =…

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Q: Find the area of the region bounded by the line y = 4 - 2x and the coordinate axes. Draw the graph

A: Given query is to find the area bounded by the line.

Q: Evaluate e |/| 2xz dV where E = {(x, y, z) | 0 < z < 1, ¤ < y < 2x, 0 < z < z + 3y} E Round your…

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Q: 2. Find the center of mass of the four particles having masses 2, 3, 3, and 4 kg and located at the…

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Q: Choose the values that would complete the general solution for y = arcsin ( - V2) ±2nk 4 O O O O

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Q: 2. Vy+1-2 dy

A: ∫vn dv = vn+1n+1+C

Q: Evaluate the integral of· if it has an upper limit of 1 and a lower limit of 0. (x+1)®

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Q: 5dz 1. (:+4)VE+1

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Q: Determine whether the following functions are continuouuus or not. Are not, classify them as…

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Q: Find the vector component of v = 2i – j + 3k along b = 2i + 3j + 6k and the vector component of V…

A: Given : v=2i-j+3kb=2i+3j+6k   To Find : a) vector component of v along bb)vector component of v…

Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation and use…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6,3, –5). |(a) Find the volume of…

A: Let's find.

Q: A. Determine whether the following functions are continuous or not. are not, classify them as…

A: Given : f(x)=x2-36x+6     To Find : type of discontinuity   Note : If f(x) is undefined at x=a, and…

Q: indefinite integrals: Show complete and detailed solutions. Express your answers in simplest form…

A: Using integration of square root of a2 - x2

Q: Find the inverse of the matrix of the following [1 8 91 1-A=|0 4 6 Lo o 3] 2 [3 2- A=5 -1 3

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Q: If f(x) = 2x - 1, what is the equation of the normal line to the graph of fat (1, 1) O A. x - 6y = -…

A: 1) f(x)=2x3-1 at (1,1) 2)f(x)=g(u) and g(u)=u(x).

Q: State whether each of the following series converges absolutely, conditionally, or not at all. n²…

A: A series ∑an is called absolutely convergent if ∑ an is convergent . Limit Comparison Test :   If…

Q: Using the partition method, find the inverse of 4 3 1 - 1 3

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Q: 3 +e? +). 3x 2x2 2

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Q: Find the directional derivative of f(x, y, z) = 5y at P(5, 1, –4) x + z in the direction from P to…

A: We have to find directional derivatives for the given function.

Q: 2. Find the limiting values of 3x? + 5x-4 (i) as x → oO 5x? - x +7

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Q: arctan(tan30°) = _____.

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Q: Solve 6 - log, (3x - 2) = 4 for X %3D

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Q: sin[arcsin(1)] = -1 1 sin 1

A: We know, sin[arcsin(x)]=x

Q: arccos(cos)

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Q: 7 dx 5. S 2 2 3 xVx-4

A: We will solve the integration.

Q: Find the area of the triangle with vertices P(1, 5, –6), Q(0,0,0) and R(3,5, 1). NOTE: Enter the…

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Q: Simplify arctan + arctan . O 0° 45° 90°

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Q: A normal vector to the tangent plane for the surface z = , at the point (1, 1, 1) is: y - Select…

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Q: t-1 dt

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Q: Wt-1+2 dt

A: We will find the integral as following.

Q: indefinite integrals: Show complete and detailed solutions. Express you: answers in simplest form…

A: To find the integral

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: 1-cosx The value of limx→0 by using series is 1+x-e

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Q: sy-y+1 when y-5 y=-1 Evaluate

A: The given expression 3y2-y+1

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: 6. Find the area of the region enclosed by the graphs of y = VT+1 and y = r – 2 and the vertical…

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Q: Determine an equation of the form Ax t t Cz + D=O By for the plane that contains the line (x,y,2)=…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: topic - vectors

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer…

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Q: Find y if y = 2. arcsin[] and - sys. T/4 1/2

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Q: /4y² - 25 -dy

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Q: if -2 <x< 0 f(x) dx where f(x) = 4 x2 if 0 < x< 2 -

A: This question is based on definite integral properties.

Q: Evaluate/Find the following integrals. Sx/4x – x°d 1. -

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