1 For what value of x does the function f(x) = x³ - 4x attain the absolute maximum in the interval [-5,5]? A. x = -2 C. x = 2 O A OB B. D. x = -5 x = 5

Q: Consider the curve defined by the following parametric equations: x = 5t+e³t, y = 3t - est (a) Find…

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Q: Apply the eigenvalue method to find a general solution of the given system. Find the particular…

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Q: Find the unique anti-derivative F of 2e5x – 2e²x + 4e−3x e2x f(x) for which F(0) 1. F(x) 2. F(x) 3.…

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Q: Find the most general antiderivative, F(x), of the function f(x) = −2sin(x) −10cos(x).

A: The given function is: f(x)=-2 sin x-10 cos x

Q: 10) Find the decay rate for element x if the half life is 300 years

A: Law of Decay x = x0e-ktWhere x = amount after time t x0 = initial amount k = decay rate t = time

Q: Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and…

A: We have to find the future value so we will use formula of FV.

Q: 29. f(x)= = ex+1 +x 2ex - 1

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Q: Evaluate the triple integral U= 2x-y 2 > Y 2 Remember that: V= and w= ГСГ z 2 X 3 +4 f(x, y,…

A: We have to evaluate the integral.

Q: x=y+2 Revolve the region bounded by the graphs of y = x -2, x = 4, and y = -1 about the line x = 4.…

A: The region bounded by the graphs of y=x-2,x=4,y=-1

Q: Use cylindrical shells to find the volume of the solid generated wh the region enclosed by the given…

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Q: 4. A rectangular pen is to be built with 1200 m of fencing. The pen is to be divided into thre parts…

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Q: Consider the function f(x, y, z) = xy + yz²+xz³. Find the gradient of f: 000 Find the gradient of f…

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Q: Find the open intervals on which the function f(x) = x + 8√/1-x is increasing or decreasing. The…

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Q: Consider the surface x = :4y² + 4z² — 287. - Find an equation of the tangent plane to the surface at…

A: x=4y2+4z2-287

Q: Use L'Hôpital's rule 1. lim x →+∞ sin -18 X 2 X

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Q: 4) Let R be the region in the first quadrant bounded by the graphs of y=√ and y= a. Find the area of…

A: As per the guidelines we are supposed to solve only the first 3 subparts only, so please upload…

Q: Find the derivative. f(x) = x³ · log4(x) Give your answer using the form below. xª(B + C logò(x)) A…

A: To find out the derivative of the given function.

Q: Find the derivative. f(x) = x³. log4(x) Give your answer using the form below. XA(B + C logo(X)) A =…

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Q: ď²y. -2t dt²³ y = e¯²t sin 3t

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Q: 3=e4x +1 a) .693 b).234 c) .1732 d) .205 e) 0.67

A: 3=e4x+1

Q: Q5. Find the integrating factor of the differential equation.< (cos³x)y dy dx tan ¹(sin x + cosec x)…

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Q: 9) Find fxyy for the following function хуу f(x, y) = 4x³y² - 3x²y² + 2x³y-ex²

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Q: a. The two-dimensional curl of F is b. The two-dimensional divergence of F is c. F d. F irrotational…

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Q: g(x) = 3()*+4 9 (x). - 8 is a transformation of the function f(x) = (-¹) ². Determine the range of

A: fx =12xgx =312x+4 -8

Q: Use L'Hôpital's rule 4. lim x csc x x→0

A: limx→0xcscx

Q: What is the x and y-intercept for the following equation ? 4x - 10y = 20

A: given equation is  4x-10y=20 w know for x-intercept, y is zero and for y-intercept x is zero

Q: f(x) = eet

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Q: In the first answer field, write out the derivative using the quotient rule without simplifying- In…

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Q: If f(2)= 0, f(-1) = 0, and f(x) = x-x³-x2-x-2, use the Factor Theorem and synthetic division to…

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Q: Q45. If P = {1,3,4,5,7,9,10,12}, Q = {2,4,5,6,9,11,12,14,15} then 2xn((PxQ)XQ) n((PxQ)n(QxP)) (a)…

A: P=1,3,4,5,7,9,10,12,Q=2,4,5,6,9,11,12,14,15

Q: Given the following graphs of f(x) and g(x), find the value of lim [ƒ(x) — g(x)] i x→3 simplest…

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Q: Find the vector component of v = (4, -1, 7) along b = (3, 6, -6) and the vector component of v…

A: Given: vector v = &lt;4, -1, 7&gt; , b = &lt;3, 6, -6&gt; To find: Vector component of v along b and…

Q: 4. Name three different pairs of polar coordinates that also name the point, (-1,-), if- 2π ≤ 0 ≤ 2.

A: To convert from polar coordinates (r, θ) to Cartesian coordinates (x, y), use the following…

Q: 9. Let f and f-1 be functions. If the point (-4, 6) is on the graph of f-1, what point is on the…

A: Let f and f-1 be functions. If the point -4, 6 is on the graph of f, then to determine  the point on…

Q: The First Gate Having crossed the room, you find yourself at another gate with a required passcode.…

A: The function is fx=6x2-24x+2 on the interval -4,4.

Q: 0.38 0.266 0.182 0.111 -√√x, y= Let R be the region bounded by the graphs of y= y = cos(3x), and the…

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Q: ty" + (1 − 2t)y' + (t−1)y=tet, t>0 and y₁ = et is one solution for the homogenous equation.

A: To find the general solution to the nonhomogeneous equation, we will use the method of variation of…

Q: Find the GING Glope Of the tangent line to the

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Q: what is the volume of the solid lying below the surface z = 1 + x + y and above the region in the…

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Q: Let F = (x,y,z) and C be parameterized by r(t) = (cost, sint, -5), for 0 st≤ 2. Evaluate Use a…

A: Given that F=&lt;x,y,z&gt; and C be parametrized by r(t)=&lt;cost,sint,-5&gt; for 0&lt;=t&lt;=2pi .

Q: Evaluate sec(). Give your answer in exact form (no decimal equivalents).

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: Find the angle , in radians, in the given right triangle. The length of the side adjacent to is 19…

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Q: Suppose that a company introduces a new computer game in a city using television advertisements.…

A: Px=1001+51e-0.16x

Q: Find the value of f(7) when 7 1 cost - 2 sin 3 3 f'(t) = and f (1) (7) = 6. 2 3

A: f'(t)=73cos(13t)-2sin(23t)given  f(π2)=6

Q: Determine the focus and directrix of the parabola with the given equation. y = 1/(x - 5)² + 2

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Q: (3) Find the critical points of the function ƒ(x) = − x³ + 27x + 3, find the open intervals on which…

A: To find the critical points of the function f(x) = - x^3 + 27x + 3, we first take the derivative of…

Q: 7. y"+y'=e¹ +38(t-6), y(0) = -1, y'(0) = 4

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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…

A: Here  point P (-3,1,5) and A(1,1,0) and B(-2,3,-4).  We find distance.

Q: 00 Σ n=0 η3xn+1 n4 +1

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Q: 34. d²y. dt²¹ y = e-²t sin 3t

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