Sn sin4xdx = 4 */3 1/12 Select one: O True O False

Q: ) Find an equation of the line tangent to the curve y = x²e²-3 at a = 3.

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Q: (x=1² +3t – 1 + 3t – ; at t=-2. t-2 y = t² +1

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Q: So dz Select one: O True O False

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Q: Evaluate the double integral over the rectangular region R. 4xy dA; R = {(x, y): – 1 < x < 1, – 6 <…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: In 2. Determine whether the series E=1 is convergent explain why. 100

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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: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

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Q: The general solution of the differential equation dy/dx = 12x³ is y = 4x3 + C. Select one: O True O…

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Q: Find the tangential and normal components of the acceleration vector for the curve 7(t) = (- 3t,…

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Q: Please do it right

A: We have to solve

Q: Consider the following functions. f(x) g(x) = 8 sin x = 8 cos 2x | 2 6

A: The objective of the question is evaluate the area of the given bounded region.

Q: A ladder of length 4/3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the…

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

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Q: nt P(p, 1), where p>0, lies on the curve x² + 2x ulate the yalur of n

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Q: Let f (æ) = (In(z³ + 1))". Find the slope of the tangent line at x = 1. (Give your final answer as a…

A: The slope of tangent to a curve y=f(x) at a point x=a is given by f'(a)

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. n5 +…

A: Use alternating series test for checking the convergence of series .

Q: integral using ir

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Q: Find a formula for the n" partial sum of the series 2 + + + + ... and use it to find the series' sum…

A: The solution is given below

Q: r+2 limz-2 x2 +7x+10

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Q: Find the cost function for the given marginal cost and fixed cost. Marginal Cost Fixed Cost (x = 0)…

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Q: Given the function f(x) = 2x – 2, evaluate and simplify the expressions below. See special…

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Q: of tue reigon boundrd by the graph of tue algebraic fundin. 2) Find tue asea f(x) = x+12x +36 2 =…

A: Given

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

A: Given graph,

Q: If you invest $6300 per year in a stock that grows at rate of 9% per year, how much will your stock…

A: We have to find the worth after 13 years.

Q: dy a. Use implicit differentiation to find the derivative dx b. Find the slope of the curve at the…

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Q: 7. For what values of m does the function y = e™ satisfying the following equation y" – 3y' – 10y =…

A: Here is the solution:

Q: 14) Find aset of parametnic equetians for the rectangular aquetiag d= 4x2 tust Setisfies fue…

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Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

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Q: QUESTION 13 Refer to the graph below. Find the consumer surplus for the demand function, D, when x…

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Q: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, find the…

A: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, then we have…

Q: The region R lies on the lines x – y = 8, x + 7y = 8, x - y =| and x + 7y =

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Q: cosxdx 3T +Sinx

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Q: Use the ratio test to determine whether the series is Converyent divorgent or 2" n! (-1)" 5.8.…

A: an=(-1)n 2n n! 5·8·11·.....· (3n+2) When applying ratio test for alternatingseries, the absolute…

Q: Find out whether the series given below converges or diverges. 00 In (n+ 1) Σ n+1 n= 1 Choose the…

A: Here we will find whether series is convergent or divergent,

Q: 5 y = 4x+3y+2 3r+2y+1

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Given

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: Use a triple integral to find the volume of the region bounded by 5x + 8y, z = 9, and the planes x =…

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Q: Use the Ratio Test to determine the radius of convergence of Eo (Use symbolic notation and fractions…

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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: Complete parts a through c for the given function. f(x) = 4x° - 5x - 40x° + 5 on [- 3,4] c. Identify…

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Q: 26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx…

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Q: Use the substitution u = x° + 8x to find the following indefinite integral. Check your answer by…

A: Use the substitution method to solve the integral.

Q: Find an equation for the hyperbola that satisfies the given conditions Foci: (+5, 0), vertices: (±3,…

A: Given (5,0)=(h+c,k)    hence k = 0(-5,0)=(h-c,k)h+c=5h-c=-52h=0h=0Therefore (h,k)=(0,0)

Q: Evaluate the double integral over the rectangular region 9(a sin(y) – y sin(x)) dA; R= {(x,y) : 0…

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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: Evaluate the limit. (Use symbolic notation and fractions where needed. Use the symbol o for…

A: Given: limx→∞ln(x)x7

Q: ans 늘 sin ()+c 19 -4x² teinx dx I+ x2 dx ans: į sini'Ln'xte 3. sečxdx ensesin 3tanx 15-9tañx dx

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

A: Green's theorem states that for  counterclockwise direction∮CPdx+Qdy=∬R∂P∂y-∂Q∂xdxdy