da Evaluate 2 (16 + x2)*

Q: dx Evaluate the integral / by completing the square and using x² + 4x + 20 trigonometric substitutio...

A: integration with subsitution 

Q: Differentiate y %3 (x? + 7х — 1)(5х + 2) а. 20х3 + 6x2 +70х + 9 b. 12x3 — 4x2+ 70х + 9 с. 10х3 + 6x2...

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Q: Use shell method to determine the volume of the solid of revolution generated by revolving R about t...

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Q: dy/dx = sec 2xsec3y

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Q: dx 1+ ×°yス 2Y - 1+(xy)². 2x + X

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Q: 0. Find the area of the triangle with the given side lengths. Round your answer to one decimal place...

A: Given graph :- Find the area of the triangle with the given side lengths. Round your answer to one d...

Q: 2. Consider the following graph of x = F(y) and x = G(y). 2- The orange curve is F and the purple cu...

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Q: y= h(x) 2+ 1+ + -1 -2 1 2 -1 Identify all of the values of c for which h(c) is a local maximum of h....

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Q: A hole is drilled through the center of a sphere x2 + y? +z? = R², leaving a ring-shape solid. If th...

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Q: and stra ight and x : 8 Let R be an area enclosed by a curve. : 1 Using the cylindrical shell method...

A: Given problem:- Let R be an area enclosed by a curve. X =4√y and straight line y=1and x = 8 Using th...

Q: sinh? 2x dx 3sinh? 2xdx

A: Given ∫-3 sinh3(2x) dx ⇒∫-3 sinh3(2x) dx⇒-3∫sinh3(2x) dx Now solving ∫sinh3(2x) dx substitute u=2x→d...

Q: If  h(x) =    5 + 4f(x),  where  f(4) = 5 and f '(4) = 2,  find  h'(4).

A: Solution: Consider the function h(x)=5 +4f(x) f(4) = 5 and f '(4) = 2 (Given)  

Q: 7. lim(9x-3x+4) (x-3)(* 8. lim EX-2. x*+1

A: limx→139x2-3x+4  

Q: 1. Solve the triangle. Include all possible triangles. Round each value to one decimal place a = 3, ...

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Q: It is f(r,y, 2) = xyz Determine the expression for the options below: I. az af az = Y. af az 0. af T...

A: The function is given by fx, y, z = xyz To evaluate: The expression of ∂f∂z

Q: What are the critical numbers of the function? f(t)=8(t^2/3)+t^5/3

A: We have to find critical numbers.  

Q: 20/(1+e(-.25)(t-10)) At what two points is the population growing the slowest?

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Q: quation. Do not simplify.)

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Q: (b) Find an operator A that annihlates the following functions. i. In(x) ii. to , α ε R iii. sin(3 I...

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Q: Solve for the orthogonal traectories y2= 4x²(1- kx) %3D

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Q: 4.x (a) lim 10 sin 5x sin() (b) lim 5x sin 3x (c) lim 10 x2 tan 2.x

A: Read the following instructions once 1. Short method is provided at the end of the subpart (c) 2.sin...

Q: Show every detail of your solution. Differential equatioens. siny dx + (x - sin? y)dy3D0

A: The given differential equation is: sin y dx+(x-sin2y)dy=0⇒sin y dx=-(x-sin2y)dy⇒dxdy=-(x-sin2y)sin ...

Q: (S) possit Given In 6=1.7918 and In 23 =3.1355, find the value of the following logarithm without us...

A: We will use the fact that  ln(a/b)=ln(a)-ln(b).

Q: 3 +1 mect

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Q: 1. Given a > O real, evaluate the following limit: V2a?x – x4 – ava²x lim a – Vax3

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Q: E Homework: Homework 5.4 4 6 in terms of sums and differences of logarithms. 4 9 m'b Express log 4 6...

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Q: f(x) = 1/9 -1/x+9 divided by 9x Complete the table. (Round your answers to four decimal places.) x −...

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Q: 66. Find the volume obtained by rotating the region enclosed by y = In x and y = (In x)² about the y...

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Q: Find the root of the equation x2 - 4 Inx use x, =1.000 Solve by simple iterative method.?

A: We have to find root of given equation.

Q: Find the exact length of the curve. y = (2/3)(1 + x2)3⁄2,      0 ≤ x ≤ 2

A: Given: - The curve is, y=23(1+x2)32,  over the interval, 0≤x≤2 To find: - The exact length of the cu...

Q: Find the rate at which the volume of a right circular cylinder of constant altitude 10 ft changes wi...

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Q: 4) Use the Limit Definition of a derivative to find f '(3) if f(x): %3D 5-x

A: Given:- f(x) =2/(5-x)  To find:- Use limit Definition of a derivative to find f'(3) 

Q: Solve the differential equation show complete and clear solution no shortcut for the

A: Solution of the problem as follows

Q: Solve the initial value problem: 2xydx + (2y² – 3x²)dy; y(0) = -1.

A: This question is based on solution of Homogeneous differential equation.

Q: f(x) = 1 is discontinuOUs at x=2 because %3D x- 2 A. f(2) is not defined B. lim f(x) is existing C. ...

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Q: (3y²-x 0 ;when x = 1, y = 1 2y4

A: This is homogeneous Differential equation 

Q: Explain why the integral ex* dx is convergent.

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Q: (2) Consider the coin-tossing example we did in class (Lecture 9 on Feb 25). The coin parameters are...

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Q: 一名 ース 1-X

A: We can find the integration as below

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for t...

A: We need to find estimated years and oil barrels.

Q: Write the first five terms of the sequence: +o0 {vn² + 2n – n}, Determine whether the sequence conve...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: 10. The function's value will always be greater than or equal to the local linear approximation of a...

A: For the given statement

Q: 2. Sketch the graph of g(x) and discuss the continuity and discontinuity at x = 2 X = 0 g(X) = PEN

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Q: Evaluate, with the order of integration being reversed, an equivalent integral of the following inte...

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Q: dy 2. x + ( 1+x)y e -Xsin2x dx

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Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +...

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Q: A function f(x) and interval a, b] are given. Check if the Mean Value Theorem can be applied to f on...

A: Given: fx=2x3-3x2-72x+10 ; a,b=-6,8   As we know from the Mean value theorem: If f(x) is real-valued...

Q: Closure: 1. Solve cot r-V3 =0 over [0, 2n)

A: Given: cot x-3=0    over [0,2)

Q: (-1)"n For positive integer n, let an = 3" Determine whether the sequence {a,} is convergent.

A: Determine whether the sequence is convergent ?

Q: 7-4х 3. У 3 5+ 2х

A: