The cos³4 dy is {A}-sin+sin³¹+C 3 4y 4 3 3 {B}sin-sin³¹+ C 3 4 3 (c)-sin-sin³+C {D}sin+sin³+ C

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Q: f(x) = -x² + +9 square units

A: Given the query is to the area bounded by the curve.

Q: 4. Find the antiderivative of 1-t4 = CS the t that satisfies the given condition R(1) = 4

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Q: Consider the polar curves C₂: r = 4 cos 0 and C3 : r = 4 sin 0. (a) Determine the slope of the…

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Q: Find the Definite Integral Exactly and use Desmos to explain what you just found. -2 3. S²(x² - 3*)…

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Q: The f sin x cos²xdx is x sin 4x {A} 16 64 sin 4x x {B} 16 16 O A B O - sin³2x 48 sin³2x 48 +C + C…

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Q: Find the general solution of the given differential equation. x + 2y = x³ -x dx y(x) = Give the…

A: Here, the given DE is: xdydx+2y=x3-x⇒dydx+2yx=x2-1 Comparing it to dydx+yP(x)=Q(x). We have P(x)=2x…

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Q: Find the indefinite integral. Solution in handwritten. 1. fx sin x² dx

A: Indefinite integral

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A: This question can be solved using the concept of tangent and normal under application of…

Q: In 2000, the population of a city was 76,000. The population had grown to 111,000 by 2011. If the…

A: We have to find the year.

Q: Consider the function f that is continuous on the interval [-5, 5] and for which f f(x)dx = 4.…

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Q: For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of…

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Q: Find the area under the graph of the function y=2-x-x² over the interval [-2,1].

A: Given query is to find the area under the curve.

Q: Find T(t) and N(t) at the given point. r(t) = 8 cos(t)i + 8 sin(t)j; t = 1|3

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Q: Assume P and Q are points on the graph of the function y = f(x). If the a-coordinates of P and are a…

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Q: d the amount of money that accumulates when $310, 000 is placed annually into a non-interest-earning…

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Q: Problem 1: Obtain ODE by eliminating arbitrary constant A, B, and C y = Ae2x + Be + C

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Q: TC=575+2Q

A: ANSWER Is in next step

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Q: In a circle of radius 25, find the length of the arc spanned by a central angle of radians. Round…

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Q: Use the simplex method to maximize the following: Maximize f=6x1+4x2+10x3f=6x1+4x2+10x3 subject to…

A: We need to use simplex method.

Q: (1 + x³) dy - x² y dx || 0

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Q: If |ū| = 4, |v|=5, |ū-v=6, determine |ū+ v.

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Q: #6

A: Topic:- application of integration

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Q: Find the differential equation of the family of circles of fixed radius r with center on the x-axis.

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Q: Find the value of z in the solution of the following system: - 1x – - 4y - 4z = 99 4x + 2y + 2z = 88…

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Q: Evaluate (1 + i)(¹ - i). (1

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Q: Grace invested $5,200 in an account paying an interest rate of 4.6% compounded daily. Assuming no…

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Q: =H.w.2 Evaluate the following cartesian integrals by - changing them into equivalent Polar integrals…

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Q: Question 7  A business spends $80,000 on Marketing, $100,000 on R&D,  and $ 12,000 on Expenses.…

A: We have to find the ratio between spending.

Q: 1. (a) f(x) = cos x ln x Find the derivatives of each of the following functions. (b) f(x) =…

A: Given :f(x)=cosx lnxf(x)=ln(cosx)