Solve each of the definite integrals in Exercises 71–78. Some integrals require integration by parts, and some do not. 71. Inx dx 72. x sinx dx -T/4 dx 1 et x sec x tan x dx 73. 74. -/4 75. e* sin x dx 76. 2* cos x dx ~1/2 77. | xcsc? x dx sin-1x dx 78. 1/4 -1/2

Q: convert each angle in radians to degrees.     pi/2

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Q: Differentiate  f (x) = 1/ln(x4 + 5)

A: We have the given function as fx=1lnx4+5         ⋯⋯1 We know that, from the quotient rule of differe...

Q: Hi pls help me again. thank you <3

A: NOTE*** As per bartleby guideline for more than one question asked only first is to be answered plea...

Q: 58. A rectangle has area 16 m2. Express the perimeter of the rect- angle as a function of the length...

A: The perimeter of the rectangle =2(length +breadth) Area of rectangle =length *breadth

Q: Differentiate f (t) = 4e0.05t - 23e0.01t

A: Solution  Given the function as,  Use chain rule for exponential function as follows: Also,  Fin...

Q: Evaluate the integral

A: The value of the given integration can be found with the help of the substitution. Substitution of ...

Q: Given f(x) = x2 and g(x) = 1 − x, find (fg)(x). Then evaluate the product when x = 3.

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Q: 1). Sketch a continuous function f on the interval [-6, 6] that has the following properties: x-inte...

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Q: Calclus Solve the first 2nd,3rd and 4th subparts.

A: Consider the given information. (ii) Consider the given expression. limn→∞−1nn=0 Take the left side ...

Q: 4. Find the area of the region bounded by the graphs of f (x) = x³ +x2 – 6x and g(x) = 2x – x2 20 А....

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3 – x² and ...

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Q: Find the amplitude,period,and phase shift of each function.Graph each function.Be sure to label key ...

A: Solution: Consider the given function is: y = 2 cos2πx-4-1 Now, comparing with general form y=A cosB...

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A: Find the reciprocal of complex numbers by multiply and divide with its conjugate

Q: 4. Find the area of the region bounded by the graphs of f (x) = x³ + x² – 6x and g(x) = 2x – x2 20 А...

A: Area bounded between f(x) and g(x) is given by ∫abf(x)-g(x)dx, if f(x) > g(x)  in the interval a ...

Q: Solve the equation 31x - 22 = 41x + 52.

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Q: 4. Evaluate aemz+be mz

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Q: Please quickly , only choose the correct answer

A: Given To evaluate, {(2-i)(-3+2i)}(5-4i)

Q: Find the exact value of each expression  cos -11.

A: To find the value of :cos-1(1) Solution: We know, principal value of range of cos-1(x) is [0,π]. Let...

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Q: help

A: To find the area of base

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Q: Find the extrema off (x) = 2 sin x − cos 2xon the interval [0, 2].

A: We have the given function as fx=2sinx-cos2x On calculating first derivative of the above function, ...

Q: Consider the function. f(x) = x3 – 1 (a) Find the inverse function of f. f-1(x) =

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Q: 5. Evaluate the limit: Vx +1 lim x→1 4x -4

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Q: %3D dz dt where z = 2x sin y, x= t°, and Use the Chain Rule to find %3D Type an expression using x a...

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Q: Using the Product Rule In Exercises 5–10,use the Product Rule to find the derivative of thefunction ...

A: Solution:Giveng(x)=sinx exFormula:(uv)'=uv'+vu'(sin x)'=cos xex'=ex

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Q: Solve:(a) write the linear function f that has the given function values and (b) sketch the graph of...

A: Given: f12=-53, f6=2 We know that linear function is given by fx=ax+b                               ...

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A: Topic -limit

Q: Funding a College Education A child’s grandparents wish topurchase a bond that matures in 18 years t...

A: To find: The principle amount. Given: The time is 18 years, rate of interest is 4% compounded semian...

Q: Please quickly , only choose the correct answer

A: The given equation is: 6z4-25z3+32z2+3z-10=0 Substitute z=2-i it: 6(2-i)4-25(2-i)3+32(2-i)2+3(2-i)-1...

Q: Use a graphing utility to graph the function f(x) = (x − 1)3 + 2.Be sure to choose an appropriate vi...

A: Given: The function is  f(x) = (x − 1)3 + 2 .  

Q: Use Numerical derivation to show which of the following functions is the result of the derivation of...

A: We have the given function as fx=lncosx2           ⋯⋯1

Q: convert each angle in radians to degrees.     -pi/6

A: Given : The angle is -π6 .  

Q: Find the exact value of: sin-1 1

A: Given: sin-11

Q: D. A circle has a radius of 4.2 centimeters. Which measurement is closest to the area of the circle ...

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Q: Prove each differentiation formula \text { (b) } \frac{d}{d x}[\arctan u]=\frac{u^{\prime}}{1+u^{2}}

A: Explanation: Prove that,  ddxtan-1u=11+u2     Formula Used: sec2x=1+tan2x

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Q: (Type an expression using t as the variable.) 6. Use the Chain Rule to find dQ where Q= 3x +3y+4z, x...

A: Find the derivative using chain rule

Q: Calculus Question

A: NOTE- AS WE ARE ALLOWED TO ANSWER ONE QUESTION IN ONE SESSION, SO, I HAVE ANSWERED FIRST ONE FOR YOU...

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Q: please help with part A

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Q: Use the even–odd properties to find the exact value of each expression.Do not use a calculator. sin(...

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Q: please help with part C

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A: We can use the concept of differential equations in order to solve the given problem.

Q: Products and Norms: Let u = (2, 4, –1), v = (0, –3, 2), and w = (-1,1,5). Use these vectors to find ...

A: Since the exact one wasn't specified we'll answer the first question only. Please resubmit a new que...

Q: In the given question , use the shell method to find the volume of the solid generated by revolving ...

A: the solid generated by revolving the region bounded by the graphs of the equationy=3x-x2 , y=x2 abou...

Q: Solve 2 log5 x = 3 log5 4

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