Find the derivative car (x+y) = yrinx

Q: Find the curvature of the curve r(t) = (3 cos (4t), 3 sin(4t), 4t) at the point t 0 Give your answer…

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Q: Question 5 Find the derivative [f(x)]; f (x) = 3 ln (In (x²-3x + 5)²). O3(2x-3) ²-3x+5 3(2x-3)…

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Q: C. Find the angle coterminous to the given angle that has the opposite sign. бл 1. - 7 2.-258°

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Q: Suppose a certain real-valued function f is continuous on the interval [33, 50] and differentiable…

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Q: Consider the space curve r(t) = (cost cos 2t, cost sin 2t, sin t). (a) Find r(t).

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Q: For a person at rest, the velocity v (in liters per second) of air flow into and out of the lungs…

A: Explained below

Q: The following symbol represents the derivative of a function EXCEPT one. Select the correct…

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Q: Find the area of the shaded region. 2+ 1 -1- |-3+ 2 3 square units y=x-2 y=√x

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Q: Problem 3. Solve 2+2 =10 4* +4 = 68

A: To solve the following system of equations.2x+2y=104x+4y=68

Q: Determine if the following series converges. If the series converges, determine if it converges…

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Q: Use the appropriate technique of integration to compute the following antiderivatives. SHOW THE…

A: Solve the following

Q: c. f(-8x)√√3-4x² dx d. S dx 6x² (4x³-9)3

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

Q: 5. A manufacturer offers to deliver to a dealer 300 tables at $90.00 per table and to reduce the…

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Q: ∞ n=1 (n+1)(3² − 1)¹ 32n

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: The equation below gives parametric equations and parameter intervals for the motion of a particle…

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Q: If F(x) = f(t) dt, where f is the function whose graph is given, which of the following values is…

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: A)P(x)=R(x)-C(x)       =5x -(0.003x2+1.4x+60)P(x)=3.6x-0.003 x2-60b)R(50)=5(50)…

Q: The fadius of a right Circular cylinder is increasing at a rate of 2 units Per Second. The height of…

A: Rate

Q: ZzJm 3. Use integral test to determine whether the series 4. Use an appropriate test to determine…

A: 3. ∑n=1∞e-n2n4. ∑n=1∞n2n+1!n! 22n

Q: Problem 5. A cup of coffee has temperature of 200 degrees Fahrenheit and is placed in a room that…

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Q: Solve the system using Cramer's Rule. - x + 2y = - 5 4x + 5y = 32 Find the determinant D…

A: D=-1245D=-1(5)-2(4)=-5-8D=-13Dx=-52-325Dx=-5(5)-2(-32)Dx=-25+64Dx=39Dy=-1-54-32Dy=(-1)(-32)-(-5)(4)D…

Q: The radius of the base of a right circular cone is decreasing at the rate of 4 cm/min, and the…

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Q: 1) Calculate the following integrals. b) √₁6x²=1 -dx

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Q: Find the y- coordinate of the Centroid of the planar region described by x² + y² ≤ 9π², y ≥ 0. Enter…

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Q: Use finite approximations to estimate the area under the graph of the function f(x) = x² + 1 between…

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Q: Consider a triangle where A = 30°, a = 1.3 cm, and b = 1.3 cm. a b B A (Note that the triangle shown…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Is the function a power function. If it is, write it in the form f(x) = kxP, and state the values of…

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Q: Find the function f(x), such that f(x)= In(3x) J ƒ(1)=1.

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Q: 6) The variables x and y satisfy the differential equation X = y(1-2x²), dx and it is given that y =…

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Q: 10. Consider the region bounded by the graphs of y = tan-¹x, y = 0, and x = 1. Find the area of the…

A: Let's find.

Q: The following is a graph of y = f(x) A= (0,8) You Select the correct graph for the following…

A: We have to find out the graph

Q: Find the indefinite integral. a. fsecy (tany - sec y )dy b. f(x²-9)(2x)dx

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Q: find a formula for the function passing through (-1,5/3) and (1,15).

A: Solution: Given : (-1,5/3) and (1,15) We know the exponential function of the form f(x) = aebx

Q: The f sin x cos x dx is not equal to {A} -cos 2x + C {B} sin²x + C {C}-{cos²x + C {D} sin 2x + C

A: A detailed solution is given below

Q: 2. Given the matrix A below, Solve for A-¹ A = 12 1 2 1 -1 2432 4] 365 487 - -3 4

A: Given A=123424681357-12-34 We want to calculateA-1=1A

Q: dy Find given that dt x² + y² = 2x + 4y, x = 3 y = 1, and dy = | dt dx dt = 6

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

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Q: IL The Hiker You are planning a 20-mile hike in the Cascades. The guidebook provides you with a…

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Q: 5. a) All edges of a cube are expanding at a rate of 3 cm per second How fast is the volume changing…

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Q: #6

A: Topic:- application of integration

Q: Question If a brick is dropped from a height of 40 ft., its position after t seconds is given by the…

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Q: Let z = g (x, y) = x³ + xy³ + y4 - 6x - 2y + 4, where x = r cos (0) and y дz Use the chain rule to…

A: We will use chain rule to find the derivative

Q: Find a3 w дх ду дz if w — exyz = 0.

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Q: the following 2 √x² √₁ + x dx aluate

A: Given query is to find the integral.

Q: For what values of x is the function f(x) = |x2 − 9| differentiable? (Enter your answer using…

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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: 8. For the enclosed regions bounded by y = x² - 6x and y = -2x in the graph, what is the integral…

A: Given   From the graph intersection point

Q: A company determines that its demand function is given by p(q) = -0.6q+1190 and that its cost…

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Q: What does the graph of the parametric equations x(t)=3−t and y(t)=(t+1)2, where t is on the interval…

A: t x=3-t y=(t+1)2 (x, y) -3 6 4 (6, 4) -2 5 1 (5, 1) -1 4 0 (4, 0) 0 3 1 (3, 1) 1 2 4…

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

A: We need to evaluate integral.