Find the exact area under the curve between the indicated values of x. y =x(1/2); between x = 1 and x = 4 Optional For visualization, input the equations in Desmos grapher (-click the live link) or sketch the graphs by hand. 2. 1 © 4 None of the other choices is correct.

Q: t²dt can best be evaluated by: (A Trigonometric Formula B Integration by Parts (c) Trigonometric…

A: We have to find out

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: 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: Calculate the arc length of y = 3x + 3 over the interval [0, 3]. (Use symbolic notation and…

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Q: x²– 9 ?

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Q: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If…

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Q: Find for the parametric curve c(t) (t-1 – 5t, 41) at the point t = -2. dx (Use symbolic notation and…

A: Given problem:- Find dy/dt for the parametric curve c(t) = (t-1 - 5t, 4t3) at the point t = −2.

Q: Find the area of the plane region bounded by y = x - 4x and y% x(2-x). Answer

A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains…

Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

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Q: Given a = 3 units, = 1 unit and the angle between a and b is 30°, determine o) the exact value of (…

A: Solution:

Q: Which of the following is an antiderivative of f (x) = 52 ? O (In5)52 – 1 52 +3 In5 52 2ln5 1.…

A: To find the antiderivative of fx=52x.

Q: x³dx is equivalent to Using trigonometric substitution,

A: Given,  ∫ x3x2-4dx

Q: Suppose a population function P(t) satisfies the following differential equation. P is measured in…

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

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Q: Describe the graph of the equation. r = (6 – 31) i – 81 j O It is a line in 2-space that goes…

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Q: Compute the surface area of the cone generated by revolving c(t) = (t², t) for 0 <t < 6. (Use…

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Q: | tan° xsec* xdx 6 2. Use 1 + tan² x = sec? x to evaluate

A: Solution:

Q: Find the vector, given its ma 13. Jul 10,0 = 75° %3D %3D

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Q: L (7+ 4)(x + 3)dæ = 74/3 %3D Select one: O True O False

A: The given integral,       ∫-11x+4x+3dx=743

Q: a jə et v = (560, –335). Find the following: a. The magnitude of the vector. b. The direction of the…

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Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

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Q: Adjust the domain of the rectangular equation, if necessary. y = x^2-7

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Q: Write an equation for the level surface of f(x, y, z) = r² + 10y? + 20z2 corresponding to the level…

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Q: So 3a (a + 4) dx = 5120 Select one: O True O False

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Q: Evaluate F. dr. Jc F(x, y) = 9xi + 6yj C: r(t) = ti + V4 - tj, -1 sts 1

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Q: Which is the correct inverse Laplace transform of U (s)=+ O u(t) = 6t + sinh(4t) + cosh(4t) %3D O u…

A: Recall:  L-11sn=tn-1(n-1)! L-1ss2+a2=cos at L-11s2+a2=1asin at

Q: 2. Find S +l" dudy by first snitching the order of integration 4

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Q: Evaluate the line integral -ydx+ xdy along the curve C :y = 12x from (12, 12) to (0,0). NOTE: Enter…

A: In this question , we can find the given line integral.

Q: x = -3x1 – 2x2 x2 = 9x1 + 3x2 %3D

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Q: dx 2. x?V4-x2

A: Let x=2sin(u)⇒dxdu=2cos(u)⇒dx=2cos(u) du  and u=sin-1x2 ∫dxx24-x2=∫2cos(u) 2sin(u)24-2sin(u)2du…

Q: (D² +6D+9)y=e³* 3x

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 10 cos(t)i + 11 sin(t)j +…

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Q: A closed box with a square base is to have a volume of 3000 cm. The material for the top and bottom…

A: Given problem:- A closed box with a square base is to have a volume of 3000 cm³ The material for the…

Q: 3 dy – sin-! 3y -12+C %3D sin-1. 4- 9y 3

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Q: Solve the following initial valued problem x²y' + 2xy = e*, y(1) = 0

A: To find the solution of the given initial value problem.

Q: The most conveneient way to evaluate xx2-4 by substitution is to let x2- A True B) False

A: We have to find out

Q: Find the standard form of the equation of the ellipse with the given characteristics.

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Q: Describe the graph of the equation. r = (8 - 31) i - 14 j O It is a plane in 2-space that goes…

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

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Q: A company determines that its demand function is given by p(g) = - 0.8q + 576 and that its cost…

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Q: Find the volume of the solid generated by revolving the region about the given line. The region in…

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Q: x++ dx 1.

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Q: T/3 sin4xdx = 4 T/12 Select one: O True O False

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Q: The general solution of the differential equation dy/dx = 12x is y = 4x° + C. %3D Select one: O True…

A: topic- differential equation

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 1 n Vn8 + 4…

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Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: Given graph,

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: $3000 is invested in an account at interest rate r = 0.035, compounded continuously. (Round your…

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Q: Find V (F × G), if F(x, y, z) = 11xi+j+3yk and G(x, y, z) = xi + yj – zk. V. (F x G) = %3D

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Q: Given =16,-2,k) and V=14,-4, 0]. Determine the value(s) of k if the angle between ü and v is 60°.

A: We will find the possible values of K as shown below