The power series representation for cosh x is cosh x = x2n Use this to find a power (2n)!" Ln=0 series representation for sinh x.

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Q: y = 02(90 + 3) = 903 +

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Q: (1+ In²e) -' d® Otan-'(In®)

A: To evaluate:2) ∫41+ln2θ-1θtan-1lnθdθ

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Q: Determine the equation of the curve whose tangent line at any point (x, y) is e*- cos x and passes t...

A: The curve whose tangent line at any point x,y is ex-cos x and passes through 0,4

Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

A: Solution Given that If we add 1 in both numerator and denominator then we get a fraction 4/5. And i...

Q: find the constant term of (2x² + 1/x)⁹

A: find the constant term of (2x² + 1/x)⁹   

Q: Use Newton's method to obtain the third approximation, x,, of the positive fourth root of 8 by calcu...

A: Hence, the third approximation is x2 = 2.16

Q: dx What should be the rewrite of so that the resulting integral is integrable 1- cos x A Sa-- sec x)...

A: Given query is to rewrite the integral.

Q: 8 cos3(x) dx

A: ∫8cos3xdx  let u=sinx  then 1-u2=1-sin2x=cos2x      ⇒du=cosxdx     Substitute in the integral       ...

Q: Find the value of a and b such that the function g(x) is continuous. x 3

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Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

A:

Q: For function, find the point in the graph at which the tangent line has slope 9 Y= -0.025x^2+6x What...

A: The given function is:Y=-0.025x2+6xThe slope is 9

Q: use the tangent plane to estimate the value of √(4.8x5.02)

A: use the tangent plane to estimate the value of √(4.8x5.02)

Q: Find an equation in cylindrical coordinates for the rectangular equation = x² + y² – 6 Entry Tip #1:...

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Q: Find the exact value of each expression. 1) cos (2) 3) cos 2. 5) sin¬1 –1 -1 9) sin' 1 1 11) cos 2.

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Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember...

A: We have to find integral

Q: 4x-3 Consider the function f(r) Compute each of the following. Simplify your answer and use %3D I-1 ...

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Q: Suppose that your first guess with Newton's method is lucky, in the sense that x, is a root of f(x) ...

A: Option (B) is correct answer i.e. x1 and later approximations will be equal to x0

Q: 2. A parabola whose focus is at the point (2,0), has a directrix whose equation is x = 6. For this p...

A: This question is based on property of perabola. With jelp of focus and directrix we find the equatio...

Q: ft along a straight, level road decelerates at a constant rate of 22 ft when the brakes are applied....

A: Given query is to find the displacement function.

Q: 10x dæ x4 + 4x2 + 3

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Q: The accompanying graph shows the hypothetical cost c= f(x) of manufacturing x items. At approximatel...

A: Solution ) cost  c = f(x) Marginal cost = d c/ dx                            = f'(x) Change in margi...

Q: Let f (x, y, z) = ln (1+x³ + y* + z®) Find an equation for the tangent plane to the surface f (x, y,...

A: We have to find the tangent and normal line equation .  

Q: Find the exact cause of each expression

A: To find the exact values of the given expressions.

Q: Answer the following True or False: "Rate of change", "marginal profit", "marginal cost", "marginal ...

A: use the definition of each terms to evaluate whether it is true or false

Q: 7In(x) dx

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: 5*52"dx= 52r xp, dx A True B) False

A: topic - exponents

Q: x!/2 on the interval [1, 4]. Find the arc length of the curve y 2x3/2

A: This question is based on application of integration. With the help of formula of arc length we got ...

Q: dy Find for Y da V1 – 23 dy da

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Q: Use the product rule to find the derivative of (7x- 7x) (7e-9) Use e^x e. You do not need to expand ...

A: We have to find the derivative.

Q: Consider the Cobb-Douglas production function f(x, y) = 40x/y/3. Compute f(125, 64), f(64, 8), and f...

A: We to put given value in the function

Q: Evaluate the definite integral (5et + 8x)dx using Part 1 of the Fundamental Theorem of Calculus. Ent...

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Q: Find the area enclosed by the x-axis and the curve y=4-x². 32 A -square units 3 В 32 square units 36...

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Q: Find the equation of the tangent line to the graph of f(x) = (4x – x2)(4 – x - x2) at x = 1. y =

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Q: 4(1+ In²e) -1 de Otan-(In@)

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Q: the temperature (in F) at point (x,y)(measured in miles) is given by  T(x,y)=80-x4 +2x2 y-y2 How f...

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Q: Find an equation of the circle that has ?(1,4) and ?(−2,7) as the endpoints of a diameter

A: NOTE: Refresh your page if you can't see any equations. . endpoints of diameter are to find the ce...

Q: Write the function g(x) in terms of the function f(x).

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Q: Use sympy to solve the following problems: (a) Solve u' (t) + u(t) = e' subject to u(1) = 3. (b) Fin...

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Q: A particle moves along the x-axis so that at time t ≥ 0, its position is given by x(t) = 2t3 - 3t2. ...

A: V(t) = d[x(t)]/dt Put, v(t) > 0.

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

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Q: dy If y (t+ 2t + 6) (7t + 6), r find dt dy dt

A: Given  y=t2+2t+67t2+6y=7t4+6t2+14t3+12t+42t2+36y=7t4+14t3+48t2+12t+36

Q: Va3 – 1 (o) f(x) = ;c= 1 x-1

A: The given function is not defined at x=c= 1 Because , as x approaches to x the function approaches t...

Q: On which interval does the function f(x) = (x+ 5)/(x-1) discontinuous? О а. [0, 2] O b. [-1,0] Ос. (...

A: Note: As per our company guidelines we are supposed to answer first three questions only. Kindly ask...

Q: From the given technical description of the lot. Bearings N 48° 20' E Lines Distances АВ 529.60 m ВС...

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Q: Derive the following formulas using the technique of integration by parts. Assume that n is a positi...

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Q: (3 (-6 7/ 3 3. If A = -2 2). B =G ) and C =(,"). Find AA™BC. 4 -2. 4 2 (2 3 4 4. Find the co-factor ...

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Q: A certain electronics manufacturer is making GPUS for gaming laptops (GPU stands for graphics proces...

A: Given an equation which represnt margin cost of x GPUs

Q: 1. Each situation relates a quantity and a price. Calculate the two different unit rates associated ...

A: Use unitary method.