At what interval is y=2x4-4x2 decreasing?

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: Evaluate the integral. [² f(x) dx where f(x) = = {} if -4 ≤ x ≤ 0 2 -x² if 0 < x≤

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Q: Determine which of the following is the particular solution for the differential equation…

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Q: Find

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Q: Determine which of the following is the particular solution for the differential equation (D² -…

A: The given differential equation is; (D2-2D+2)y=(-8cos3x+24sin3x)e-x

Q: Use a finite approximation to estimate the area under the graph of the given function on f(x) = -1/2…

A: We need to find area under the curve.

Q: launched straight up in the air from a height of 6 feet. Its velocity (feel/second) t seconds after…

A: Given query is to find the average velocity.

Q: Given f(x, y) = = − xº + 3xy¹ - 5y³, find

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Q: Evaluate the integral. [₁² ( 2x + 1) dx

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Q: The temperature of a room, in degrees Fahrenheit, on a certain day is modeled by the function f…

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Q: Determine the form of particular solution for the following differential equation (do not solve):…

A: The differential equation is given as , D2+9y=5ex-162x2 Determine the form of particular solution.

Q: 8 3 3.s²+12 $²+49 +

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Q: Divide by g (y) to separate the variables: dy IP fi O dy || gt h = 7/²010 y de 9х = прто

A: ∫xndx=xn+1n+1+cgiven  dydx=x6ypasses through  (1,3)

Q: A forest fire is found at midnight. It covers 1200 acres then. It is spreading at a rate of f(t) =…

A: given  rate is  f(t)=3tinitial covers is  1200 acres∫tndt=tn+1n+1+c

Q: Compute (a) ₁ and (b) ₂ for the iterative process defined by n+1 = 2xn (4 — xn) with xo (a) x₁ = -…

A: Given query is to find x1 and x2 .

Q: Sketch the region bounded by the graphs of x = y² + 2, y = −1, y = 2, and x = 0. Find the area of…

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Q: 1/2 S." 2 2 cos ¹(x) dx

A: ∫udv=uv-∫vdu∫0122cos-1xdx=2∫012cos-1xdx

Q: 3. 3 lim x→∞x4

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Q: Use a Venn diagram to answer. If n(A) = 7, n(B) = 12 and n(An B) = 4, what is n(AUB)? n(AUB) =

A: Given query is to find the value of the expression.

Q: Use the divergence theorem to write a triple integral that is equivalent to the flux integral F.ds,…

A: Divergence theorem

Q: Suppose that a particle moves along a straight line with velocity v(t)=10−6t, where 0≤t≤1.5 (in…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: we have to find the component form of vector v ,   whose magnitude  ||v||=4 and angle with positive…

Q: OHaganBooks.com has been experiencing a run of bad luck with its summer college intern program in…

A: NOTE: Refresh your page if you can't see any equations. . the given cost function is  to find the…

Q: Find the indefinite integral x² S ²-16 =dx = +c

A: INTRODUCTION:   An integral is considered to be indefinite if it has no upper or lower bounds.  In…

Q: Given f (x) = x² - 4x - 2. Find the following: a) The vertex ( b) The parabola opens ---Select--- v

A: a) Vertex : (2,-6)

Q: A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $10 the…

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Q: solution

A: Please refer to the image below

Q: Maximum Revenue Jesaki Electronics manufactures and sells a smartphones per week. The weekly…

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Q: A curve is given parametrically by=et 2e-t, y = e2t. The tangent t the curve at t = ln 2 is...? a)…

A: Given x = et - 2e-ty = e2tat t = ln2

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Find 5e³zy Ə ?х Question Help: Video

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Q: Consider the following integral. Br -2 f(x) dx 0 = where f(x) = Rewrite the given integral. 2 [²1(x)…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. a =…

A: The given sequence is: an=7-14n To determine whether the sequence with the given nth term is…

Q: Let P be a point not on the line L that passes through the points Q and R. The distance d from the…

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Q: marginal cost for a company to produce q items is given by MC(g) = 0.005q^2 - 0.7q + 650. The…

A: Given query is to find the cost at production level 14.

Q: Use a power series to represent the function f(x) Provide your answer below: M8 n = 0 6x + 4…

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Q: A curve is given S₁73 dx = ...? xy parametrically by = 3t + 1, y = 4t².

A: Given,            A curve is given parametrically by x=3t+1 , y=4t2.To find : ∫47xyt3dx

Q: A ball of radius 10 has a round hole of radius 3 drilled through its center. Find the volume of the…

A: Given is to find the volume of the resulting solid

Q: If P 2 3 []-[1 Q = a b = PQ = QP then find the values of a and b.

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Q: Find the iterated integral. (Give an exact answer. Use symbolic notation and fractions where…

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Q: Given the graph of f(x) and the labeled areas, 12 find 7 0 f(x)dx 12 [ f(x)dx= 0 [] A=12 B=6

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Q: Find the general solution of (y^2 – xy)dx + x^2dy = 0.

A: Given differential equation (y2–xy)dx+x2dy=0(y2–xy)dx = -x2dydydx = (y2–xy)-x2dydx = ( xy - y2 )x2

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: we know that  ∫1a2-x2dx=sin-1(xa)+c∫70t1-t4dt=70∫t12-(t2)2dtlet   t2=x

Q: Use the ratio test to determine if the series converges or diverges n 3+2n n In(n) Σ - n=2

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Q: 12. Using the substitution u = = √x. S₁. (A) 25e" du (B) 25e" √x e" du dx is equal to which of the…

A: The given integral: ∫14exxdx

Q: Match the general solutions to the differential equations. - ✓ (D²+2D+5)y=0 - (D²-6D+10)y=0…

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Q: Evaluate the integral: (¹ r²₂/r3 ± 3dt

A: Given query is to find the integral.

Q: Find the slope of the tangent line to polar curve 2 (²/1, 7). 6 = - 2 sin at the point

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Q: Given r= 1 and r = √2 cos 0 Find all the intersection points of the following curves.

A: Given           r=1    ..........(1)           r=2 cos θ  ..........(2)   Equating equations (1) and…