V3 7. arctan 3.

Q: The derivative of the function y = e* In(cos x) is: y' = e*(In(cos x) – tan x) y' = e*(In(sec x) + t...

A: To find the derivative of the following function.y=ex lncos x

Q: 4 Find the value of f'(-1) if ƒ (x) =. (3xr² – 2x +1)

A: we have : f(x) = 4(3x2-2x+1)3 To find :f'(-1)

Q: Evaluate the integral. (Use C for the constant of integration.)   The integral of 5(tan^2(x)+tan^4(...

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Q: From the following results, determine whether the function 2x +9, r 9 f(x) = 6. is continuous at = ...

A: Solve for the continuity for the function

Q: 9. Estimate I 3. (4x? + 4x + 1) dæ using n 3 subintervals, and (a) Left endpoints. (b) Right endpoin...

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Q: Find the indefinite integrals: x5/2 + 4x +1 a) / 2 + Te' ) dt t3 6t +

A: We know that ∫xn dx = xn+1n+1+C         n≠-1 ∫1x dx = lnx+C

Q: 14. y = Vx, the x-axis and x = 4, about the line y = 2. 40T 30Tt units3 b. units3 units3 d. none of ...

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Q: inbabitonts, thanks to A rumor, begins to spreaol in a the fart Fhat a member of the population heav...

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Q: Let a = ci +j and b = 4i + 32j. Find c so that a and b are orthogonal. C = i

A: Recall: If two vectors a and b are orthogonal then their dot product is zero that is a·b=0

Q: At which point/s does the graph of y = r+9 have a horizontal tangent line? Write the point/s in the ...

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Q: The derivative of the function y = cot¬1(csc x) is: csc x cotx cSC X cot x y' y' = csc?x+1 csc?x+1 t...

A: See the details solution in below

Q: For S dx, x = 1+ Vx O x = u^4 O x = u^(1/4) x = u None of the choices ООО О

A: We use those substitution which makes integral easy. Hence, x=u4 This is the required substitution.

Q: Evaluate the definite integrals (give exact answers): 3 a) | (2x +3)(x – 5)dx 2 1 - (2³ – 2x² + 1)dx...

A: a) ∫23(2x+3)(x-5)dx ∫23(2x2 -10x +3x -15)dx ∫23 2x2 -7x -15)dx [2x3/3 -7x2/2 -15x ]23 18 - 63/2 -45 ...

Q: A potato is launched vertically upward with an initial velocity of 121 ft/s from a potato gun at the...

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Q: Scse (2x + 1)dx CSC

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Q: Solve the problem. Round your answer, if appropriate. A man 6 ft tall walks at a rate of 3 ft/sec aw...

A: We can find the required answer as below.

Q: - The appropriate integrating factor for the following differential equation (2x + cosy)dx + (x²tany...

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Q: QIAnswer the following equation ,your answer should be like :(x=4)(y=9)(z=6)? * .write it in the sho...

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Q: Question 6 Evaluate the double integral over the given region. S *+x4 - 3) dA, R: 0 sx s1,0 sy s2 15...

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Q: Sa2 – 6x +1, x 6 Evaluate the following limits for h(x) = and Justify your answer. (i) lim h(x) = (i...

A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed ...

Q: Find the value of f' () if f(x) = 2csc3x. 15 Your answer

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Q: For the demand function q= D(p)3D226-p, find the following. a) The elasticity b) The elasticity at p...

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Q: Sketch the region enclosed by y=4x and y= 4x^2. Find the area of the region

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Q: • Use the trapezoidal rule with n = 8 to approximate %3D cos(x) dx Keep at least 2 decimal places ac...

A: USE Trapezoidal rule with n=8 

Q: A potato is launched vertically upward with an initial velocity of 101 ft/s from a potato gun at the...

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Q: e2 6. - dx -Find 1

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Q: Exercises: Find the general solution of the following differential equations 4) y"+2y'+y=3e*

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Q: find the afproyimate Value of: (3.01)*+(5-98)²+(2.03)?

A: solution

Q: Find the acceleration of the potato at 0.5 s ft/s?

A: s(t)=-81t2+225t+3acceleration a(t)=s''(t)consider s(t)=-81t2+225t+3Differentiate with respect to ts'...

Q: for power substitution method, next step is * For ai-(r+3)} dr f - 4u²dr 4u²dr -S (u*)& – (u*)* (u*)...

A: For using power substitution method, to determine the next step for the following integral.∫drr+334-...

Q: Q1. Fill in the blank with a suitable mathematical expression. 1. The function f(x) is symmetric abo...

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Q: Find the arclength of y = 2x/2 on 1 < x < 3

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Q: dy Find using implicit differentiation, for the equation x° + y° = 10 is da %3D y7 y5 y5 o O O O

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 10x² an...

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Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

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Q: Using the method of substitution, b. I : x2 /9x + 7 dx f(u) du %3| a where u = du dx a = and f(u) = ...

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Q: For S(y + 2) /2 –- 3y dy,y = O y = u^(1/3) O y = u^3 O y = u None of the choices

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Q: A potato is launched vertically upward with an initial velocity of 139 ft/s from a potato gun at the...

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Q: Which of the following is/are true of f(x) =(x+3)*at x = -3? A. Continuous at r=-3 B. Discontinuous ...

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Q: The cost function for production of a commodity is given below. C(x) = 352 + 23x - 0.08x2 + 0.0005x...

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Q: What is the formula that would be used to calculate the trapezoid approximation of s82x dx using fiv...

A: we have to approximate the value of integral by using trapizoid rule

Q: Find the length and width of a rectangle that has perimeter 80 meters and a maximum area.

A: Given: Perimeter of rectangle=80 meters

Q: Write a rational function that has x=-2 as its only vertical asymptote, a hole on the line x=2 and a...

A:

Q: 4- 1II Objective Knowledge Check Question 9 SARA V Español Consider the following system of linear e...

A: Reduced row echelon form

Q: A pharmaceutical company is testing a new drug. After a person takes A0 mg of the drug, the amount o...

A: Question- A pharmaceutical company is testing a new drug. After a person takes A0 mg of the drug, th...

Q: Evaluate the integral. (Use C for the constant of integration.) | 2 csc*(x) cot (x) dx

A: We will use simple Integration formulae to solve this Integral.

Q: F. Directional Directive Find Duf (x, y, z) at (2,–1,0) in the direction of the unit vector U parall...

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Q: of the region bounded by the given curves. * x = 0, y = 0 b. (2,1) с. (-2,1) d. none of the choic

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Q: g3 (*° – 2x² + 1)dx 9. Evaluate the definite integrals (give exact answers): •3 a) | (2x+3)(x – 5)dx...

A: Given that, There are two integral given, a). ∫23(2x+3)(x-5)dx b). ∫121x3(x3-2x2+1)dx We have to fin...

Q: 26 1. 2.0 F28 20 1. -20

A: