Example: Find the surface area of the curve described by x = t³, y = t², 0

Q: (-) (4) Let an = sin for n EN = {1, 2, 3, ..}. sin-1 n+1 (a) Determine if the sequence {an}=1 conver...

A: Given problem:-

Q: 2020, the population of Ethiopia was 1.65 times as large as the population of Thailand. We can also ...

A: Given query is to find the population of Ethiopia in terms of percentage of population of Thailand.

Q: Find the specific solution to the following 2nd order non- homogeneous differential equation d2y/dx2...

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Q: 2. Evaluate lim x-4x+1 X-1 x-1

A: I am attaching image so that you understand each and every step.

Q: 4. Starting from the same point, Royden starts walking eastward at 0.5 m/s while Nilo starts running...

A: Draw a schematic diagram of given question.

Q: Given that n21 and xn = V5n2 + 2n -3n 00 1. Will {xn}, be divergent or convergent? 2. Will E=1Xn be ...

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Q: 4) Factor fully. a) x3 + 4x² + x – 6 b) 2x3 – 9x² + 7x + 6

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Q: Solve the inequality. x-2 < 0 X+1

A: Given,            x-2x+1&lt;0

Q: Q3) The directional derivative of a given function w = f(x, y) at Pol-1, 1) in the direction of A = ...

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Q: The relationship between a professional basketball player's height H (in inches) and weight W (in po...

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Q: Consider the function f(I)= 6x +5x. For this function there are four important open intervals: (-0, ...

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Q: Evaluate the integral x Inx dx Select one: Inz -+C Oi In r- a +c 0 in z- +c 3. a Ina O None of them ...

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Q: . We are given r'y-5x+24y 6/ỹ, where x and y are both functions of t. If dx = 2, x= 1, and y=9, what...

A: Given query is to find indicated derivative.

Q: aairical nunber is anumber C HAthe dor of f such that f'@)=0 or f' C dne Pfind the aninical #s of th...

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Q: Question 1 2dy Evaluate the integral Зу — 4

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Q: *'(x) *'(1) %3D

A: Given query is to find indicated derivative.

Q: Question 8 Evaluate the Integral J sin³y cosy dy. A - sin4y +C B -sin3y +C - sin*y +C -sin³y+C D

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Q: Use the First Derivative Test to find relative (local) maximum points, if any, of the given function...

A: a) y=x3-xDifferentiatey'=3x2-1For local max or miny'=03x2-1=0x2=13x=±13x=-13,13Substitute x=-13 in y...

Q: 1. Find the first derivative the function g(r) = 6x + 54x² + 90x. = (x),6 2. Find the second derivat...

A: Given:- g(x) = 6x3 +54x2 +90x To find:- g'(x)  g''(x)  g''(-1) 

Q: Let fx) = 10x +4-15 ex, Then the equation of the tangent line to the graph of fa) at the point (0,-1...

A: I am attaching image so that you understand each and every step.

Q: To evaluate the integral xp Jx²+5x+6 S we use the partial fraction decomposition of the integrand. S...

A: Find your answer below 

Q: To evaluate the average value of the function f(x) 1- 3e* over the interval [1, 6] which of the foll...

A: The detailed solution is given below Thank you 

Q: 21n|sinh (1/2 »)|+C

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Q: Find a solution to the differential equation dy 4x3 dx ey which satisfies the initial condition y(0)...

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Q: True or False: To evaluate the integral tan a sec" zdx, we save one sec z factor and use sec z = 1+ ...

A: Answer: TRUE

Q: Find the absolute maximum and minimum values of the function on the given set R. f(x,y)=(x-2)*+y'; R...

A:

Q: Anote card company has found that the marginal cost per card of producing x note cards is given by t...

A: Given query is to find the cost of prducing x cards.

Q: Being z = ax'y1+ bx*y3, with a and b constants. P is a point given by (-1, -1) and it is known that:...

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Q: Substitution Method (15) (x² – y²) - xy = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: sin'x+8 sinx+16 sin’x+4 sinx

A: topic -  trigonometric function 

Q: Evaluate * cos (e + a?) dx 24 +1

A: To find: The integral ∫44cose3x+x2x4+1dx Concept used: ∫aaf(x)dx=0

Q: 2 Determine the equation in the form (x) kx for the function with a vertical %D asymptote at x = 1 a...

A: The function with vertical asymptote at x=1 and y-intercept at -1.

Q: Tunorial ExSICISS And any Intercepts. 49x Step 1 To And the y-Intercepts, letx be zero and solve for...

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Q: 5. THE NORMAL COMPONENT OF ACCELERATION OF AN OBJECT MOVING WITH VELOCITY VIN A CIRCLE = fcv,r) = r ...

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Q: for a particular commodity, the demand function is q= 1/4(400-p^3). fine e when p=6

A: To find e when p=6

Q: dx Vx

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Q: Exercise 1 Determine the relative extrema of f. (b) f(x, y) = 4xy² – 2r*y – x -

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Q: 3 Determine the equation in the form f(x)%3= for the function with a vertical kx - c asymptote at x ...

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Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is T6 (the Trapezoid ...

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Q: Write out first five terms of the sequences, determine whether, the sequence converges, and if so, f...

A: We have to find the limit of the sequence and find first five terms

Q: in central pivot irrigation, a large irrigation pipe on wheels rotates around a center point. A farm...

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Q: 10. f"(t) + 3f'(t) + 2f(t) = 0; ƒ (0) = 1 and f'(0) = 0 %3D %3D

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Q: 3. Use the Comparison Test to determine if the series 5n Cos 2n - n³ + n² + 1 n=1 converges or diver...

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Q: . Find (f o g)(x) for the pair of functions. f (x) = x – 3 g(x) = 6x + 8 (fo g)(x) =

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Q: +00 n Σ n² + 2-n n=1 WI

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Q: X 11. Find f (9(x)) and 9(f (x)) for the pair of functions. f (x) = a² + 1 g(x) = x – 10 f (g(x)) =x...

A: The given function is: fx=x2+1gx=x-10 To find the value of fgx and gfx

Q: 8. The acceleration of a particle moving along x-axis at time t is defined by a=4t-12. At t=0, the p...

A: Given: The acceleration of a particle moving along x‐axis at time t is defined by a=4t-12. At t=0, t...

Q: Work Problem 1 Evaluate the integral 13 (x+3)°dx

A: Topic = Integration

Q: A note card company has found that the marginal cost per card of producing x note cards is given ty ...

A: Here we will find total cost of producing 580 cards,

Q: Given the series 2-1 Lx=1 (1+ln²x)x 1. Justify if the series can be proved using the integral test g...

A: Given problem:-