cosh(2.r) - 1 6. (a) Show that sinh (r) %3D 2

Q: Evaluate whether the following initial values is true in the function: y=4cos(x/2)+3x² a.) when x = ...

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Q: solve the second order differential equation ; y''+4y'+5y=8xsinx

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Q: faywyn = fæwwyy fææryy xyx xxxYy True False

A: Given :

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Q: For the following exercises, draw the region bounded by the curves. Then, use the disk method to fin...

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Q: If f' (2) = -5 and g'(2) = 3, find %3D (a) h'(2), if h(x) = 12f(x) + 4. %3D h' (2) = (b) F'(2), if F...

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Q: 4- y 2- 4 10 12 -2- -4 (a) I f (2) da = 10 (b) f (x) dx = 12 (c) A f(2) da = -5

A: To solve the following problem

Q: Find the volume generated by revolving the region above the curve y=x3 , under the line y=1, and bet...

A: Given: y=x3, y=1, x=0 & x=1 From the given curve the bounded region is as shown below: Apply th...

Q: Find

A: An antiderivative is a function that reverses what the derivative does. One function has many antide...

Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =...

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: use some property of limits.

Q: Find the projection of b = 5i – k onto à = i+ 2j+ 3k. %3D

A: We have to find the projection of →b on →a

Q: 04 +C 3lne d0 = 2e (A) True B False 2.

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Q: The demand function for a company's product is p 24e-0.99 where g is measured in thousands of units ...

A: Given: p=24e-0.9q  

Q: )ca) if vector as 6=2ナリーk Calculate axb and bxa. (b) Find The area of the paralletogrmais bounded by...

A: Area of parallelogram of the vectors a and b is a×b.

Q: Question Evaluate the following limit using L'Hospital's rule. lim (e + 2a)() 6x Provide your answer...

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Q: f(x)=10/17sqrt(6x2+2x+6) =10(6x2+2x+6)

A: The given expression is: f(x)=10176x2+2x+6=106x2+2x+6

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A: Topic:- application of integration

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A: We have to find area on Monday.

Q: cion of the tangent line to the curve at the point

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Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y). 

Q: 30. 7/3 tan'x sec'x dx

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Q: Use differentials to approximate the change in cost corresponding to an increase in sales (or produc...

A: Solution ) c = 0.075x2 + 6x + 2  with dx = 1  differentiate with respect to x  dc/dx = 0.075 × 2 x +...

Q: Use a quick approximation to estimate the derivative of the given function at the indicated point. H...

A: We know that d/dx(xn)=nxn-1

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A: The given question can be solved as shown in step2.

Q: Find Sta | tan (ay) dy 32.

A: We have to find integral of given function.

Q: Simplify to a single trig function with no denominator. csc- 0 cot? 0

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Q: Section 2.2 p. 150/152 # 58 58 Derive the formula for the volume of a sphere using the slicing metho...

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Q: 3sin4t dt 2. 5(1- 3cos21)

A: We have to find integral

Q: 4. The function f(x, y)= (x² +2y² )exp| . +8xy is homogenous in x and y of degree 5 The function f(x...

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Q: f(x)=10/17sqrt(6x^2+2x+6)= 10(6x^2+2x+6)^1/17, then df/dx =

A: f(x)=106x2+2x+6117

Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, 2. The function f(x, y)=...

A: We have to find degree of homogeneous function

Q: y'dx-(xy + y* kty = 0 1. Let the substitution v=2; y= vx; dy = vdx+ xdv

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Q: Find the following limit, then enter your answer in the form a/(x+b)(x+c) 1 If f (x) = find lim x+2 ...

A: This question can be solved using the concept of limit and function

Q: Find the Taylor series expansion of f(x) = x – x³ at a = -2 Select the correct response: 6 – 11(x + ...

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Q: Find the equation of the line though the point (0, -3) and perpendicular to the line y = - 2. Write ...

A: To solve the following problem

Q: on - Homogenous: To be considered Homogenous, the differential equation must be equal to ependent va...

A: We are asked to find the  non homogeneous second order euqation.

Q: On the domain of (-27, 27), for which of the following values of x will sin x = csc x? Choose all an...

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Q: 3sin4t di 5(1– 3cos21)

A: To solve the integration. 

Q: Determine the parts U Ind du for the following integral XVX-3 dx

A: Given query is to find the integration using substitution.

Q: 1. Estimate the limit of the signum function s(x) as x approaches zero from the right. (-1, x0

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Q: 5 In x Evaluate f r/1- Inx

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Q: Determine the force due to hydrostatic pressure on a gate of an 8 ft tank filled with water (62.4 lb...

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Q: attached picture please attached

A: Topic:- derivatives

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A: Given Equation y=√x ,x=4 and y=0