Activity 2.Solve for the derivatives of the following functions. Write your answers on a separate sheet of paper. 1. f(x) = 3**2. y = e*3. f(x) = e"-4* %3! %3D

Q: Find the derivative of the function y=(2x+5)^4(3x+1)^-5

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 2. Use trigonometric substitution to Vx² – 25 dx integrate: 4

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Q: variance of the data 2,4,5,6,8,17 is 23.33 ,(2 :then variance of 4,8,10,12,16,34 will be

A: Result: If the variance of a data set a1,a2,...,an is σ12 then the variance of data set ka1,ka2,...,...

Q: Determine whether the integral is converget or divergent. If it is ca (x-4)3/2 The integral is (conv...

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Q: (b) y = cos'(11x* + 2x).

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Q: Tutorial Exercise Find the derivative of the function. F(t) = 5 sec (mt - 7) Part 1 of 5 into f to m...

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Q: Find the volume of the solid obtained when the region bounded by the line y = 2x, the line x = 3, an...

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Q: dx 4x = 2e2t + e4 dt

A: NOTE: Refresh your page if you can't see any equations. .

Q: Sketch the graph of the following piecewise defined function. Label three points on each piece and g...

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Q: 1. The derivative of f(t) = (4t² - t)(t - 8t2 + 12) is f'(t) = 20t* – 132t³ + 24t2 + 96t – 6. %3D

A: This is a question related to derivative of the function. Based on the general formula and rules of ...

Q: Find the angle of intersection of the plane 2x+3y+5z=−32x+3y+5z=−3 with the plane 3x+2y−1z=0

A: Given: - The plane is, 2x+3y+5x=-3, with the plane 3x+2y-z=0 To find: - The angle of intersection of...

Q: (») LLa (1-y? In(x² + y² + 1) dx dy 1-у2

A: Given: ∫-11∫-1-y21-y2    lnx2+y2+1dxdy

Q: Given that 7(1 + h) – 7(1) = (h - 1 + cos(h), e" -e-", In(2h + 1)) for all h where -. a 7'(1 : (inpu...

A: We will use the definition of derivative to find r'(1) as shown below

Q: 14. Choose the best answer. Find the value of the remaining side of the triangle t a = 11, b = 6, C ...

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Q: 10 3 -10 etermine the limits of the given function as x approaches

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Q: x13 – 3x8 dx

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Q: I = (4xy' + (y')²)dx

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Q: Obtain the solution of the following differential equations. 1. y′ =x+1/y^4+1 when x = 0, y = 0 2. ...

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Q: 1. IFA=G ).B=(; ), îind A" + B". Find (AB)" IfA -G ) and B=( ) find AT + BT. 4 3 2 5 -6 7.

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Q: Set up integrals required to find the area of one of the two regions (your choice) bounded by the cu...

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Q: ×(×+5)=2

A: This question is based on quardetic equation.we have to find its roots with the help of formula . He...

Q: Using the methods of shells find the volume of revolution formed by revolving around the x-axis the ...

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Q: 3x-5 12x+41 7. The derivative of g(x) = 8. The derivative of y = V5x² – 6 is y' = is g'(x) = (4x+7)2...

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Q: esin² 3y? dy csc 6y

A: The Value of the given integral is esin²3y²/6

Q: 2. Evaluate each integral (very little calculations are required for these problems) 2 a) [- /9-(x+1...

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Q: ex-e2 1. lim x→2 x-2 x2 2. lim X0 sin 5x2 3. lim 5 cos 3x2-5 sin 8x2

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Q: 6. Choose the best answer. Simplify (Use Pythagorean identities): 2 cot2 0+3- csc? 0 -1 tan 0 +2 cot...

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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: 5e*dx V9-12e3* +4e6x

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Q: 4. Let V(t) be the amount of air in a balloon at any time t, find out whether the balloon is being f...

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Q: For the following exercises, find the exact area of the region bounded by the given equations if pos...

A: Area between curves x2=y3 and x=3y

Q: Evaluate the limit. lim 十十ダ

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Q: 3. S 10x(x² – 1)ª dx 4

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: (a) The associated parametric curve is one-half of what familar conic? Sketch the exact curve. r (t)...

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question... Than...

Q: QUESTION 6 Evaluate the integral. Give an exact answer. x?In(2x)dx [Ans] Show your work separately a...

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Q: If it diverges, enter DNE.

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Q: Find derivative: (b) y= -3x" 4

A: We have to find the derivative of given function.

Q: eliminate the arbitrary constants x2/a2 - y2/b2 - 1

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Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin ...

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Q: 9. A company is planning to sell a new product. The marketing department has done some research, det...

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Q: Which of the following lines is an asymptote of the hyperbola (2- 1) (y+1)2 = 1? 4 9. O 2x +3y-1 = 0...

A: We will find the asymptotes of the hyperbola.Below find the solution in the image.

Q: Make a word problem about distance formula

A: Topic:- geometry

Q: y = cx + c2 + 1 y2 = 4ax 4ах %3D y = C1e* + C2e¬* -x %3D

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Q: Activity 2: Apply the different theorems four sin 7x 1. lim tan x 2. lim x0 2x 3. lim (cos x - 55*) ...

A: As per our guidelines we are supposed to answer only3 subparts of a question please repost other que...

Q: \8 9 (3 2 1 5. Find the co-factor A21 of the matrix 0 -1 \2 2 2 6. Find the co-factor matrix of -1 (...

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Q: 6. If f(x) = x³ - x, find and interpret f"(x)

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Q: 1. Evaluate xy² dA, where D = {(x, y) | sin a < y < 1/2,0 <a< 7/6}. %3D

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Q: За Evaluate the integral | la – a| dx, where a > 0 is a constant. You may use geometric interpretati...

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Q: Assume that f(x) and g(x) are both differentiable functions with values as given in the table. Use t...

A: topic - derivative of a function

Q: The cost of certain piece of machinery is $ 700 and its value is depreciating with time according to...

A: We have to find the value after 6 years.