sin e cos e sin (0 - 1) Choose the best answer:

Q: If f(x) =x² +1 and g(x) = 2x + 3, find all values of x where the derivative of fAg(x)) is equal to t...

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Q: Find the sum of the convergent series. 6 + 0.6 + 0.06 + 0.006 + Submit Answer

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Q: Given the function y=f(x), y' is found to be negative over the interval (4,8), then over this interv...

A: we have of cheek and find answer

Q: ファー Choig nd Selve the :- ィ39+ジ = ze +5

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Find the first, second, and the third derivatives of the following functions: f(x) = (-x* + 4) . -4x...

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: 55. A cardboard box without a lid is to have a volume of 32,000 cm³. Find the dimensions that minimi...

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Q: The function has a relative maximum of 16 at x=| 46 (Use a comma to separate answers as needed.) 42 ...

A: Here we see that critical points of f(x) is -2,0,2  

Q: 1. Examine the given graph and evaluate the following. a) lim f(x) b) lim f(x) x→1+ c) lim f(x) x-1-...

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Q: 3. Design a rectangular R.C.C. beam using the following data: Beam span is 30' ft; f, = 60 ksi, f'̟ ...

A: Find your answer below 

Q: Below, a circular plate is submerged in a liquid with a weight density of 80. lb Compute the hydrost...

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Q: The integral of Cos x with respect to * A cos x +c B -sin x +c (c) sin x +c D) sec x +c

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Q: Evaluate the integral. Show all of your work. 10 (x-1)(x² +16)

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Q: Q3 Find domain and range for the following equations: 1) f(x) = 1- V, 2) f(x) = 3) f (x) = 4) f (x) ...

A: 1)f(x) = 1-xx is not defined for x<0.Domain: [0, ∞)f(x) will have maximum value 1.Range: (-∞, 1)2...

Q: Explain if the function is continuous or not for the given number a. if x > 1 f(x) = {1 if x = 1 ,a=...

A: topic - limits and continuity

Q: What is the y' of y=tan (6x-5)? a. y' = 6 csc2 (6x-5) b. y' = 6 cot (6x-5) c. y = 6 sec2 (6x-5) d. y...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Find the indefinite integral. X COS 9TX

A: Given,I=∫ xcos9πx2dxPut u=9πx2Differentiatedu=9π(2x)dxdu=18πxdxdu18π=xdxThereforeI=∫xcos9πx2dxI=∫cos...

Q: dy 4. ST 81–16y²

A: As per our guidelines we are supposed to answer only one question 

Q: evaluate the differential equation y- 2y +1 =0 if y(0)= 3

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Q: Case 4: repeated quadratic factor (very hard!) 8dx • Example 1: r(r2+2)2

A: To evaluate: I=∫8 dxx(x2+2)2 Substitute x2+2=u⇒2x dx=du⇒dx=12xdu So, I=∫8 x(u2)du2x=4∫1x2u2du=4∫1(u-...

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about r = x0 and then find the nth Taylo...

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Q: Express lim E=1 Ax ||PI0 as a definite integral where P is a partition of [0,2]. k%3D1

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Q: Use the given vectors u and v to find the magnitudes of vectors u − v and −2u. u = 2i + 4j + 7k, v =...

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Q: (a) Ifx + y = 25, find dy/dx. b) Find an equntio

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Q: Differentiate the function. y = In(e-X + xe¬X) y' = II

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Q: Find the derivative of each function by using an appropriate differentiation rule. 1) f(x)=3x^3 - 4...

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Q: Find the indicated vector. (-1, 6), v = (1, -8). Find - u - 9v. O (-8, 66) O (5, 63) O (10, -78) O (...

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Q: sec°xtanxdx

A: We need to evaluate :

Q: 2п +1 Е. У Зп +2 n=0

A: ∑n=0∞2n+13n+2    Thus,  an=2n+13n+2    Thus, we can proceed further with ratio test

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is in...

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Q: 11/4 x 2 2/5 ÷ (11/4 + 21/12) =

A: The given expression,       114×225÷114+2112

Q: (a) Show that every member of the family of functions y = 6 In(x) + C is a solution of the different...

A: solution is given below

Q: A given partial fraction Cx +D x² +1 2x A B + (x- 1)(x+4)(x²+1) x+4 X-a A can be evaluated as: O 1/5...

A: Take LCM of the right hand side and the put x= 1

Q: 7. Your friend, Jimbo, asks you for help with a homework question about derivatives, The following s...

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Q: Find the volume of the solid with the base is the region enclosed by the parabola y = 1– x? and the ...

A: Given:      Region enclosed by parabola y=1-x2 Volume of solid rotated around x-axis is given by    ...

Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = 6u3,u = 7x ...

A: To find dydx bu using Leibniz's notation for the chain rule: dydx=dydududxy=6u3, u=7x-4    

Q: For f(x, y) = xe**Y, find fy (1, In 2) O 2 O 2 In 2 O 4 In 2 +2

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Q: Determine the real number ? such that vectors a = 3i + 2j and b = 6i + ?j are orthogonal.

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Q: For the given function f(x,y)=x<y3+3x³y, find a flay O 2xy³+9x² y • 3x3y2+3x3 6xy2+9x2 O 2+18xy

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Q: Find the radius of convergence and the interval of convergence. Xx' k + 2 k=0 Radius of convergence:...

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Q: Find the derivative of each function by using an appropriate differentiation rule. 1) F(x)= sin(3 l...

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Q: Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundreds of ...

A: The given cost function is: C(x)=x3-4x2+8x+50, x&gt;0 where x is quantity.

Q: 4. Use the method of undetermined coefficients to find a particular solution to the system below. Pr...

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Q: sin(0) Evaluate: lim 0→る

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Q: Evaluate the flux (F*n)d-sigma where F = (3xy^2, 3x^2y, z^3) and M is the surface of the sphere of r...

A: We have to find the flux (F*n)d-sigma where F = (3xy^2, 3x^2y, z^3) and M is the surface of the sphe...

Q: The degree of the derivative of f(x) = (3–x)'(x – 12)° is

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Q: If y = sin (4x - 5), then what is y' a. y = 4 cos (4x - 5) b. y 3 сos (4x - 5) C. y' = -cos (4x) d. ...

A: In this question  we have to solve the given statements. NOTE: As per our policy we are suppose to d...

Q: SOLID MENSURATION I 4. A tower 125 feet high stands on the side of a hill. At the point 240 feet fro...

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Q: What integration technique can be used to integrate: In x dx Integration Formulas O Trigonometric Su...

A: The integration is given by ∫lnxdx To evaluate: The technique to evaluate the integration.

Q: Selecting 3 balls from a box containing 6 red balls and 4 blue balls. Combination Not Combination

A: We will find the given condition is a combination or not a combination in the following step.

Q: Q2 LB/

A: