1. Find the area of parabola y = x² from 0 to 1.

Q: So 32 (2 + 4)° da = 5120 Select one: O True O False sin4xdx = 4 7/12 %3D Select one: O True O False…

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Q: Find the value of n in the following definite integral. " 4x° dæ = 1 Answer: 1

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Q: Find the Jacobian d(x, y) / d(u, v) for the indicated change of variables. u- v), y =u + v) X = -

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. In(5x) dx u…

A: We will evaluate the given integral as shown below

Q: S- x³dx is equivalent Vx²-4 Using trigonometric substitution,

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Q: A street light is mounted at the top of a 15 ft tall pole. A man 6 ft tall walks away from the pole…

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Q: Evaluate the definite integral using the given integration limits and the limits obtained by…

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Q: Assignment On Integral of Trigonometric Functic Determine the integral of the ff. functions. 1. S -…

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Q: Refer to the graph below. Find the consumer surplus for the demand function, D, when x= 20. Hint:…

A: We have to find the consumer surplus for the demand

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 12tj – 8Vik) dt Need…

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Q: Evaluate the line integral |-ydx + xdy along the curve C: y = 30x from (30, 30) to (0,0). %3D NOTE:…

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Q: S- x+dx Using trigonometric substitution, (1+x?) tan4ode A sece В None tan+Od0 sec20 sin4ode (D coso…

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Q: Perform the indicated multiplication on the differential operator D. Show your full solution.

A: We have to find out

Q: V a(x) = e(x-5) - b(x) = -(x – 8.38)² + V c(x) = 1

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Q: Refer to the graph below. Find the producer surplus for the supply function, S, when x=20. Hint:…

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Q: Determine whether the series converges or diverges. Make sure to clearly state the test that you're…

A: Given,  ∑n=0∞2xnn!

Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

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Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c 3 1(1-x*) ? +E E

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Q: Find two values of 0, 0so<2n, that satisfy the following equation. cos = 2 (Simplify your answer.…

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Q: e?y - dy (ve)" – 1

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Q: 1. The number of arbitrary constants in a particular solution of a fourth order differential…

A: 1. We know that the number of constants in the general solution of a differential equation of order…

Q: Evaluate: /1-x*dx 3 A +C (B x4) 2 +C 3 3 D--(1-x*) 2 +C E None

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Q: Given that a parallelogram is officially defined as a "quadrilateral with opposite sides that are…

A: We need to prove the property.

Q: 25x?y" + 25xy' + y = 0

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Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

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Q: Calculate z=e^-a sin(x)+10 √y  for a=5 , x=2 and y=8 in decimal value

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Q: integral

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Q: (7,-2) and Perform the vector operation, given that u = v = (-4, 5). %3D 9. 2u + 3v A-n

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Q: LI (x + 4)(x +3)dr = 74/3 Select one: O True O False

A: topic- definite integral

Q: Find the value of n in the following definite integral. Lo 4x dx = 1 Answer:

A: I am attaching image so that you understand each and every step.

Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

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Q: /hat trigonometric substitution should be used to evaluate A x=3 tane B None C x=3 sece D x=3sin0 E)…

A: Solution:

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use o or…

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Q: lve each of the given LDE of order n. D² +6D+9)y=e³* (Use Reduction of Order Method)

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Q: An object moves along a line, where its velocity function is as described by the graph below. What…

A: answer is in next step

Q: Find the speed of the curve F(t) = (4cos (t), 4 sin(t), 6t) at t = 3 %3| Speed =

A: Consider the curve  r(t)=&lt;4cost2,4sint2,6t&gt;

Q: Indicate whether the following statements are True or False (write T for True or F for False in the…

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Q: L 3a da = 65 Select one: O True O False 2Vada = 104/3 %3D Select one: O True O False L(z +4)(z +3)dz…

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Q: integral using ir

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Q: dt, if we let V Vt+1-2, then dt is equal to A (4x³+2)dx B None © 2(x²+2)dx D 4x³dx E 4x(x²+2)dx

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Q: Find T(t) and N(t) at the given point. r(t) = 8 cos(t)i + 8 sin(t)j; t= 3 T() N(G) .3

A: To find the vectors T(t) and N(t)  for the given r(t) at point t=pi/3.

Q: 4y" – 4y' + y = e"/2/1 – x².

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y2…

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Q: Evaluate the integral. dx (x – 4)(x – 7) - (Use symbolic notation and fractions where needed. Use C…

A: Solving the problem by finding the value of integral.

Q: (t) satisfies the following differential equation. P is measured in millions and t is in years

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Q: i cos tdt can best be evaluated by: A Trigonometric Formula B) None C) Integration by Parts D Power…

A: Since multiple questions are asked,I am doing first question

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

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Q: ired) and other rules; You can use technology

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Q: Find the points on the surface 1x^2+2y^2+5z^2=1 at which the tangent plane is parallel to the plane…

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Q: The equation y? = cx is a general equation of A. y' = 2 B. y = 2x 2x C. y' = y y D. y': 2y O A NONE…

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