Find the arclength of the curve in the given interval. x = 3 cos? t , y= 3 cost sin t , 0 s

Q: Use the limit comparison test to determine whether the series converges or diverges. 8k2 – 6k + 6 16...

A: On solving this we will get

Q: dx 1. (x-3)(x-2)

A: Given I=∫1x-3x-2dx To evaluate the integral I:

Q: ar the function f(x) =x - 4, construct and simplify the difference quotient f(x+h)- f(x) %3D h ... e...

A: Given:     f(x) = x2 - 4 

Q: f(æ) = (62² – 5)*(5æ? – 3)" - f' (x) =

A:

Q: D. x4-4x2+8х J(- • Evaluate the indefinite integral. dx ,and • Identify what is the u=? and du=? Sho...

A:

Q: consider the following  5^3x+1=3^x-5 a) find the exact solution of the exponential equation in ter...

A: Question: consider the following    5^3x+1=3^x-5   a) find the exact solution of the exponential equ...

Q: 1 17. dx .2 + 4x + 5

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Q: Solve the following equation for x on the interval [0, 27). tan (x) = -6

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Q: Find dy/dx by implicit differentiation. xby5 = y = x dy/dx

A: Let's find. 

Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A:

Q: A news item is heard on the late news by 8 of the 144 people in a small community. By the end of the...

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Q: f(y) = ee&")

A:

Q: z(z² – 1) -dz z2 + 1 1 ²-In(z² + 1) + C A B z² + In(z² + 1) + C 글(22+ 1)2+C (D) z² + (z² +

A:

Q: Differentiate. 5x y = et 5- 5x y' = %3D et

A: Yes above answer is correct, lets see how to solve... This is the simple question based on different...

Q: Let the region R be the area enclosed the function f (x) = 3x3, the horizontal line y = 6, and the y...

A: Given:-the region bounded byf(x)=3x13y=6 and the y-axisrevolving about the line y=6using washer/disk...

Q: What is the slope of the line tangent to the graph of a function defined by f(x)= 2x²-4x+5 at (-1,11...

A: f(x)=2x2-4x+5Let y=2x2-4x+5Differentiate 

Q: Find the derivative of the following functions. Show your solution.

A: As per our guidelines we are supposed to answer only one question. kindly repost others question as ...

Q: 4. A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the r...

A:

Q: e solution of the following Differential Equations 2) y"-16y 0 4) y"-y'-6y=0 6) y" - 2y' + 2y = 0

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Q: Market resear ice cream company price per cup of ice cream is P50.00, the demand will be 1200 cups, ...

A: Solution is here

Q: Let A(f) = 500(1.07) represent the amount of money, in dollars, in an account i years after the year...

A:

Q: The equation of the ellipse that has a center at (4, 2), a focus at (7, 2), and a vertex at (9, 2), ...

A: We will find the equation of ellipse as shown below

Q: Question The function s(t) = 3t2 – 4 gives the position in feet of a moving object at time t seconds...

A:

Q: ya + yi = 1, when x = 0, y = 4 dy = cos(x + y), when x = 0, y = dx

A: Firstly we arrange the differential equation and after that we separate the variables and integrate....

Q: 7. Use appropriate formula of geometry to evaluate the followings. L(lx – 3| + V36 – x²)dx b. L(2x +...

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Q: If y=x^4−5 and dx/dt=−1, find dy/dt at x=−3.

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Q: Gutance of ** AS m pole, leaning against a wall slips in such a way that its base is vdn moving away...

A: We will use Pythagoras theorem .

Q: find dy/dx in terms of x and y if x ln y +y^6 =8 ln x.

A: x ln y + y6 =8 ln x 

Q: r^2theta=sintheta from polar to rectangular

A:

Q: dy Find the function y(x) satisfying = 30, y'"(0) = 4, y'(0) = 6, and y(0) = 6. 3 d'y = 30, y''(0) =...

A: Let's find. 

Q: Differentiate the function. f(x) = log1,(x7 + 1) %3D f'(x) = %3D

A:

Q: Find all volves of o,b ond c such that the func Ef×メ goo)= てメー1) 1チxg? 21 if x= 1 is continuous at x...

A: Given

Q: A tank holds a 98 gal solution of water and salt. Initially, the solution contains 20 lb of salt. A ...

A:

Q: A. Logarithmic and Exponential Functions 1. y = log 2. t= In tan (; +) 3. y = In (e²x²)

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Q: Let F(x) = f(x*) and G(x) = (f(x)) . You also know that a' = 13, f(a) = 2, f' (a) = 5, f'(a³) = Cind...

A:

Q: Which of these sums give the approximation to the area under the curve of y =Vx+1 and between x = -1...

A: The area under the curve y=x+1 between x=-1 and x=0 using 3 rectangles and right endpoints.

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: Given query is to find the demand function and revenue function.

Q: Find the 65th derivative of sin(x) by finding the first few derivatives and observing the pattern th...

A: Given:      y = sin x

Q: Determine whether the improper integral converges or diverges. If it converges, determine the value ...

A: To check: Whether the integral converges or diverges. Given information: The integral is ∫16 2x-545d...

Q: Find the slope of the tangent line to the graph at the given point. (x2 + y2)2 = 4x?y, (-1, 1) Bifol...

A: The objective is to find the slope of the tangent line to the graph at the point  (-1,1).

Q: Let P(x)=-x²³+2x2-6x'-5x'-1 and D(x)=x+1 Determine the remainder when P(x) is divided by D(x)

A: The given polynomial is:Px=-x23+2x12-6x7-5x4-1Dx=x+1To find the remainder.

Q: Simplify the expression without using a calculator. log

A: log√61 = ? Here we use property  logab = logkb/(logka) Use this  log101/(log10√6) log101 = 0 So the ...

Q: 2 dr 4. (x-1)

A:

Q: 2. How many alphabet characters should a password be composed, making sure that there are at least 2...

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: ind vector V such that the vector has a length of 16 and makes an angle of pi/3 with the x-

A: Topic = Vector

Q: Find the radius of convergence and the interval of convergence. k + 2 Radius of convergence: 1 Inter...

A: To find the radius of convergence and interval of convergence use the following series tests. The c...

Q: Use sigma notation to write the Taylor series about x = 7 for the function. 1 x + 5

A:

Q: Compute the first three derivatives of f(t) = /13t² + 11. f'(t) = f" (t) = f'" (t) =

A: We have to find the derivatives of the given function.

Q: The result of the integral dx (x + 2)(x + 1) is equal to Select one: O a. None of these O b. In|x + ...

A:

Q: Let P(x)—-x*+2х*-бх'-5х—1 and D(x)—x+1 Determine the remainder when P(x) is divided by D(x)

A: P(x)=-x23+2x12-6x7-5x4-1D(x)=x+1x+1=0x=-1