Determine dy/dx given that: y = sinx - sin³ x O cos³x O cos x sin² x O sin³ x O - cos³ x -

Q: What is the area of the region bounded by the curves y = sinx, y = cosx, x=0, and x=π/4. Round the…

A: What is the area of the region bounded by the curves y = sinx, y = cosx, x=0, and x=π/4. Round the…

Q: If f (x) = 1 and (a, ƒ(a)) and (a + h, f(a+h)) are points on f(x), where h = 0, then 2x -1 f'(a) =…

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Q: 24\x² dy_ (xy + y²) dx = o

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Q: 6 = √² (6x - x²) dx = We now have Area = 16

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Q: Suppose the revenue from producing (and selling) x units of a product is given by R(x) = 15x-.06x²…

A: To find marginal revenue at production level of 35.

Q: IF x=t, y=t², 2= 2/3 t3 and r is the position vector, denoted by r=ti + t²j + 3/23 t²³³ k dT @ Find:…

A: Acccording to question,Given equations,x = ty = t2andz = 23t3andr = t i^ + t2 j^ +  23t3 k^

Q: A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the…

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Q: dx 17 +2ox +5х2

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 4. When finding the derivative of a fraction you have to use the Quotient Rule. 5. The derivative of…

A: 4. when finding the derivative of a fraction you have to use the quotient rule.5. The derivative of…

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

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Q: For the function ?(?) = ?2 − 2? + 5, estimate for the instantaneous rate of change at x = 3. Round…

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Q: All Solve the following by L apace transformy" + 4y' + 3y = 0 ,y(0) = 3 y'(0) = 1

A: Given :y''+4y'+3y=0 y(0)=3 and y'(0)=1

Q: Determine which of the graphs below have Euler circuits. Vo Vg VI 3 m (US S 5 e6 4 33 V3 Ug (US 27…

A: Euler circuit: An Euler circuit starts & end at same Vertex Here in the given problem we have to…

Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2…

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Q: On which of the following interval is f(x) S O (0, +∞0) ○ (2, +∞) O [2, +∞0) 0 (-∞, +∞0) 1 x-2…

A: We will the fact that root value should be positive.

Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the…

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Q: QUESTION 17 convex quadrilaterals can form a tilling of the plane. A. All B. Some C. No

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Q: Find , given y sec dy dx = final answer. √2x²+1, x > 0. Simplify your

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Q: 6. [8.5] Consider the points A(1, 3, 1), B (2, 1, 0), and C(5, 1, 1). Determine the Cartesian…

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Q: Q5 / S[x √ 2x-1 dx

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Q: Find the domain of the following function. 1 f(x) = 2 25-x

A: Given function f(x)=125-x2we know that fraction abis defined when b≠0the function is not defined…

Q: 4. Find the area bounded by y=√11-x, the lines 3x-2 and x = 10 and the x-axis.

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Q: Find the general solutions of the system. 7-9 0 x' = + 1 13 0 x 1 3 10 x(t) =

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Q: dy 4. Solve the initial value problem : (1+x²). -= yx, y(1) = 2 dx

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Q: State the coordinates of intercept(s), end behavior, and domain and range of the logarithmic…

A: Lets have the graph of the given function to better understand above requirement

Q: dw 3. If w = f(x, y, z), g(x, y) = C₁, h(x, z) = C₂ find: dx constants. c1& c2 are

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Q: 3x+2 2+9x+1 dx

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Q: Evaluate the following integral. 48x² S dx (x-15)(x+5)²

A: Solution of given question is written in below steps.

Q: 1(3). If f(x) = 2 cos x + x³, find 06 2 4 8

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Q: Use Newton's Law of Cooling, T = C+ (To - C)ekt, to solve the problem (bonus) 11) A lasagna removed…

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Q: Solve for m | |m8xy+x)dxdy=3, 0<y<x<1

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Q: F Find · LV² [V² hpxp (₂h + x)us ha

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Q: Differentiate implicitly to find the first partial derivatives of z. 2x2 + 11y2 + 3z2 = 36

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Q: a. Determine whether the Mean Value Theorem applies to the function f(x)=ex on the given interval…

A: The given function f(x)=ex on the interval 0, ln 9

Q: Find the acute angle between the line joining A(1,2,3) and B(5,1,7) and the plane containing point…

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Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

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Q: 1. Evaluate the iterated integrals. √27x² (a) [sin - dydx (b) √√x² - y² dydx

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Q: 1. In x x² dx

A: The given integral is: I=∫16lnxx2dx   So, we can also write as; ∫16lnxx2dx=∫16lnx·1x2dx=∫16lnx·x-2dx…

Q: f= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the…

A: Please refer too the image below

Q: = 14. Find the point(s) of the tangent to the curve h(x): as 48x + 2y = 11 *Round answers to 1…

A: The given curve is h(x)= x4/4-x3/3-5x2-8x+3 whose slope is same as 48x+2y=11

Q: -4 -3 -2 -1 0 3 4 1 2 Write an interval to describe the set of values shown above.

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Q: 1. Given the series 1 1 - - - 5 +(-=-={{ (x-2)" +... 25 125 5 (a) For what values of x, does the…

A: see below the answer

Q: QUESTION 16 hexagons can form a tiling of the plane. A. All OB. No C.Some

A: Option (C) is correct.See below the answer and explanation

Q: 1. Given a. b. C. [(5x + + + + 1) dx Evaluate the indefinite integral above Evaluate the integral…

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Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

A: To find out the extrema of the function.

Q: Find both first partial derivatives. z = 8y2 sqaureroot x

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Q: The graph of the function 86 f(x) can be obtained from the graph of y = f(x) by one of the following…

A: Solved below.

Q: dy -(x²+y) B)Solve differential equation = dx x+siny

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Q: Find Mx, My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equations.…

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Q: 14 Approximate (x²-6) dx using 4 rectangles. 2 It is approximatley (If necessary, round to two…

A: Please follow the next step.