Use the given function value and the trigonometric identities to find the exact value of each indicated trigonometric function. (0° s Bs 90°, 0 sBS T/2) cos(B) = (a) sec(B) (b) sin(B) (c) cot(B) (d) sin(90° - B)

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A: The given differential equation,     dydt=16t7

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A: Use integration for finding the cost function.

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A: To find the height  ball goes up to.

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A: Use area concept of integral

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Q: 9) Find the vectors angle between the twe

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A: Given:-the region bounded by x=y4,  x=1rotating about the line x=7using washer/disk…

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A: Given query is to find series converges or diverges.

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

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A: Given , end point of diameter of sphere A(1,-1,3) and B(0,-3,1). First we need to find centre of the…

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A: f''(x)=8x +6integrating w.r.t. x;∫ f''(x) dx =f'(x)f'(x) =∫ (8x+6) dx        =8x22+6x+Cf'(x)…

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Q: 7) Convert the coordinate (213,2) to point in' polar Coordinates. polar coordinetes.

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A: Here we will find f(x),

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Q: ng Part I of the Fundamental Theorem of Calculus, evaluate: da t'dt =

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

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A: First use the integration to find the velocity then again integrate to get the position function.

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A: Our Aim is to evaluate the integral ∫sin (x)1-sin2 (x) dx

Q: 1. Differentiate and simplify. a. .2 y = 3x+3x ||

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Q: Find the general indefinite integral. (Use C for the constant of integration.) sec t (8 sect + 9 tan…

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A: The Multiplier Method of Lagrange We may need to maximize (minimize) a function that is constrained…

Q: Determine whether the series 11n? + 8n + 32 is n³ + 3n2 – 7n + 1 n=1 convergent or divergent. b)…

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Q: chain rule to find given w = x² + 2y² + z² and x = cos (st), y = -2s lnt an 3s2 Vt.

A: We have to find out derivative

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3z F(x) = | cos (t°) dt.…

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Q: E. Find the value of D, E, and F of the following circle that passes through (-1, 4)(3,2) and (5,2)

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Q: 3. a) Determine the slope of the function, h(x) = 4sinx at x =". b) Find the slope of the line that…

A: We can solve as follows

Q: Determine a minimum radius of convergence of a power series solution about x 2 to (x2 + x)y" + 3y' –…

A: We can solve as follows

Q: 3. 1 1 2 4 1 To find the blue shaded area above, we would calculate: | f(x)dx area а Where: a = b :…

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Q: Let f(x) = 4x^2 – 7x. Use the ɛ/ō-definition of the derivative to prove that f(2) =9.

A: given :f(x)=4x2-7x

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'…

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Q: 1. Sketch the graph of each function in [0, 27n) by transforming its parent function. (a) y = cos(x)…

A: By using the online available graph plotter we will graph the each function in [0,2pi).  As per…

Q: 3- the solution for the following O.D.E y' = In(x) + tan (x) %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: Derivative with respect to x

Q: 5. Find the Maclaurin series for f(x) = In(1 Do not use the building block from the previous…

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Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

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Q: proportional

A: We will solve the problem.