Determine whether the series converges, and if so find its sum. Enter the exact answer as improper fraction if necessary. If the series diverges, indicate that using the checkbox. k-1 8 (-) k=1 The series diverges

Q: Suppose that f(z, y) = x°y?. Find the directional derivative of f(x, y) in the directional (1, – 1) ...

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: To identify which statement is true or which is not1st:ydx+xdy=0 is the DE of family of lines passin...

Q: 1 eB*[Scos2x - psin2x] + C *sin2xdx a Find: a + B + 8 + p

A: The given integral is e-3xsin(2x).

Q: If two functions F & G are both antiderivatives of the function f, the F (x) =G (x). (A) True (B) Fa...

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Q: x+2 f(x) = +x-12 ... UA. The equation(s) of the horizontal asymptote(s) is/are (Type an equation. Us...

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Q: . Evaluate f(12x² + 2x)dx a.) + 2x + C b.)꼭+ 2 +C c.) 4x² + x² + C d.) 3x³ + 4x² + C 3. Evaluate f d...

A: Topic:- integration  

Q: Find an equation for the tangent plane and the normal line to the surface x? + 2y? – 3z² = 3, at the...

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Q: Find the area bounded by the indicated equations. y = x 5, x = -5, x = 1, y = 0 В) 2604 15625 6 7813...

A: Given: y=x5, x=-5, x=1, y=0 The area of the curve by the bounded region is given by: A=∫x5dx Here, t...

Q: Elimination of Arbitrary Constant: bxy +b*x+1=0;b is constant

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Q: / tan( 4x + 3) dx Evaluate: (A) –In |cos (4x+ 3)|+C 4 B 4 ® -im [sin(4r + 3)| +C В –In |csc (4x+3)|+...

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Q: Find the volume of the solid generated by revolving about x=0 the region bounded by the given lines ...

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Q: IX. sin (2x)dx by using walli's formula. a is equal to ? 29. A.0 В.1 C.2 D.pi/2 The definite integra...

A: Let's find. 

Q: C. CONTINUITY .Below is the graph of f (z). For each of the given points determine the value of f (a...

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Q: cosh (x) dx sinh (x)dx cosh (x) - sinh (x) is equal to ? B.I A.0 The definite integral of that funct...

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Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: Let's find. 

Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (mea...

A: we have given Q 

Q: x- , y- In(t) (a) Eliminate the parameter to find a Cartesian equation that represents the curve. (b...

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Q: 4. . Find the radius and central angle in radians of the circular sector of maximum area having a pe...

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Q: Let * = 2.06, and y = 1.32. Determine the value of when you evaluate .(use 2 decimal places, no 5+x ...

A: We have given  y=∫x5+xdx Put 5+x=t dx=dt x=t-5 y=∫t-5tdt y=∫1dt-∫5tdt y=t-5lnt+C Putting value of t ...

Q: d 10(X (x) + tan (x*)) = dx

A: Solution:

Q: Find the projection of ū = (2, -3, 1) onto v = = (-3, 0, 1) %3D 3 0, А. B. (3.0. -1) В.

A: u→ =2, -3, 1v→ =-3, 0, 1v→ =(-3)2+02 +12       =9+1|v→| =10    u→  · v→ =2, -3, 1·-3, 0, 1u→  · v→ =...

Q: аn+1 to determine if the sequence {ne"}, is strictly increasing or strictly decreasing. An Use the r...

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Q: 5e2*dx ,4x – 6e2 + 1 | 3e 2r B 3e2 – 2 (c) 3e2x – 1 D 9e x – 6e 2* + 1 E) None A)

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Q: Solve the diff eq (ху?+x-2у+3)dx +(x?у — 2х - 2у)dy %3D0

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Q: 23. Evaluate f-43*+3 dx a.- 3 In 4 b.- *+3 -+ C -3 In 4 С. - In 64 + C d. none of the above 24. Eval...

A: We have to evaluate these integration by assuming some terms who convert it in simple integral. 

Q: : / ain(tun3x)dx cos²3x tan( tan3x) dx Evaluate: A -in|sec(tan3x)| + c 3 B 3 -In|cos( tan3x)|+C O In...

A: On solving this we will get

Q: Select the integral that calculates the average of a function f (x) O f (#) dæ Of (x) da

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Q: 15 dx Evaluate V9+ x²

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Q: Consider the following sequence: {a,} n=1 An+1 to show that the given sequence {an}is strictly incre...

A: The objective is to show whether the sequence is strictly increasing or decreasing.

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A: Use geometric series test to solve given problem.

Q: |(1+ sin x)'cos x in x) cos x cOS.

A: Given: ∫1+sinx3cosxdx

Q: V/2x+3) (x²+1)" 17. f(x)=-

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Q: A graphing calculator is recommended. The curve y = 1 is called a witch of Maria Agnesi. 1 + x2 (a) ...

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: Let's find. 

Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: Given: x=5, y=-x+1, y=0 From the given lines the bounded region is as shown below;

Q: I. Analyze and sketch the following curves. Indicate critical points and label your graph. 1. y = 1/...

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Q: Question 3 Use the data for allergic particles in the table to answer the following questions Year 2...

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Q: 9-30. Shell method Let R be the region bounded by the following curves. Use the shell method to find...

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Q: 1. y' = e-" (2x – 4) y(5) = 0 2. dy = by°r y (1) = dz 1 25

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Q: Find the volume of the solid generated by revolving about x=0 the region bounded by the given lines ...

A: Using application of integration

Q: Suppose f(x)=6(2.3)x and g(x)=58(1.7)x. Solve f(x)=g(x) for x.

A: Given that        f(x) = 6(2.3)x and  g(x) = 58(1.7)x And given f(x) = g(x)  Here we have to find th...

Q: Solve the differential equations x (x- y²- x)dx =y(x²-y²) dy when x=2, %3D y=0

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3. y = V(4x + 3)³

A: To find the third derivative of  y=(4x+3)34⇒y=(4x+3)34

Q: 11. Evaluate f- 2 sin 3x dx 4+cos 3x a.) -2 In 14+cos3x| + C b.) 3 In 14+cos3x| + C c.) - In 14+cos3...

A: Solve by integration

Q: Please write your solution on a paper. A certain radioactive material follows the law of exponentia...

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Q: The number of people P(t) (in thousands) infected t months after an epidemic begins 5 - where 1<t<12...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly aks th...

Q: 7 1. f(x) = 6 {/x? – 20 {x* + 4 find f (4) (x).

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Q: In Exercises 53-58, find the value of (f g)' at the given value of x. 53. f(u) = u + 1, u = g(x) = V...

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Q: Directions: Choose the letter of the correct answer. Write the letter tha corresponds to the correct...

A: Using Definition of Transcendental function Rules of limits.

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

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