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Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region bou...

A: We first sketch the region using a graphing calculator.

Q: Consider the following. h(x) = x Vx – 7 - 7 Find the critical numbers. (Enter your answers as a comm...

A: Given function: h(x)=xx-73 To find out critical numbers, take derivative and then set it equal to 0 ...

Q: Differentiate. y = sec(0) tan(0) y' =

A: Given, y=secθ tanθ

Q: The length and width of a rectangle are measured as 25 cm and 36 cm, respectively, with an error in ...

A: Given length of a rectangle, l =25 cm Width of a rectangle, w=36 cm We know that, Area of...

Q: How am I suppose to find the derivative of this?

A: g(x)=ex2sin-1x We need to find the derivative of the given function.

Q: Use the definition of continuity to determine whether the shown is continuous at a = 2.

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Q: a winch of radius 5ft is used to lift heavy loads. if the winch makes 10 recolutions every 15 s, fin...

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Q: Use right triangles to explain why cos-1 x + sin-1 x = p>2.

A: given: a right angled triangle. the given expression is: sin-1(x)+cos-1(x)=π2

Q: Determine the open inervals where each function is increasing and decreasing with steps

A: Given : f (x) = - x 2 + 4 To determine : The intervals on which f (x) is increasing or decreasin...

Q: Find:

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Q: 1 1 41. dx (x+2)(In(x+2))3 2(In(3))2 : so the series converges.

A: Integral test: Let f(x) is continuous, positive and decreasing function on [k, ∞) and f(n)=an then I...

Q: Consider the following points P and Q. a. Find PQ and state your answer in two forms: (a, b, c) and ...

A: We have given two points P0,0,2 and Q-2,4,0.

Q: Use f(x) = 3x − 5 and g(x) = 2 − x2 to evaluate the expression. a) (f ∘ f)(x) b) (g ∘ g)...

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Q: Evaluate the determinant of the matrix:

A: The matrix of 2×2 order is A=abcd. The determinant of the matrix A is given by : A=abcd=a×d-b×c

Q: use the series representation of the function f to find the attachment , if it exists.

A: The given function: ∑n=1∞11+2+3+..........+n is not valid as ∑n=1...

Q: Construct a table to find the indicated shown limit;

A: Given limx→-2x3+8x+2=y

Q: I don’t know how to do Question 25.

A: For the graph of y=9(x-1)2-m-6 intercepting at x-axis, we have to find the smallest possible value o...

Q: Solve: x2 + 4x + 6 = 0.

A: x2+4x+6=0 Comparing with ax2+bx+c=0, we get a=1, b=4 & c=6.

Q: Use the functions f(x) = (1/8) x − 3 and g(x) = x3 to find the given value ( f −1 ∘ f −1)(−...

A: Given functions are fx=18x-3 and gx=x3. We have to find value of f-1o f1-2 We will find inverse of f...

Q: Question 8. Consider the surface defined by x² – - = 1. Draw the traces of this surface correspondin...

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Q: Define the term convergence?

A: According to the question, we have to define the term convergence. Basically convergent sequence is ...

Q: Let ABCD be a general, not necessarily planar, quadrilateral in space. Show that the two segments jo...

A: Given ABCD is a quadrilateral

Q: Prove that lim (2a2 + 3r + 6) = 5 using the e, 8 definition of a limit. %3D a -1

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Q: Express f(x) in the form a(x − h)2 + k. f(x) = − 3/4x2 + 15x − 77 f(x)=?

A: Given: f(x) = − 3/4x2 + 15x − 77 -------------------------------------------------------------------...

Q: Differentiate. 7x y = e* y' =

A: We have to use u/v rule here (u/v)' = (u' v - uv')/ v2 Here u =7x v= eX

Q: Binomial series Write out the first three terms of the Maclaurin series for the following functions.

A: fx=1+x2-3 Differentiating with respect to x, we get f/x=-31+x2-4·ddx1+x2=-31+x2-40+12=-321+x2-4 Agai...

Q: Calculus Question

A: Given: a) f(x)=x+7 if x<0ex if 0≤x≤15-x if x>1 b) f(-4)=3 and limx→...

Q: Find:

A: Given limit expression is limx→2-6x4.

Q: Differentiate the following and simply the answer to the simplest form

A: Consider y(x)=25x5−x23−1cotx+7

Q: Tangent vectors Find a tangent vector at the given value of t for the following parameterized curve.

A: Given parameterized curve is rt=2t4i+6t32j+10tk Differentiating the given parameterized curve with r...

Q: Calculate the present value PV (in dollars) of an investment that will be worth $1,000 at the stated...

A: Given, Amount (A) =$1000 Time (T) =6 years Rate (r) =5.1% per years For the compounded quarterly int...

Q: The question is attached

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Q: zoom for a better view

A: Let P be the principal amount invested in $, r be the rate of interest, t be the time in years and n...

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) = 8x...

A: To Determine: Find the critical numbers of the function. (Enter your answers as a comma-separated li...

Q: Use the product rule to find the simplest answer￼

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Q: Determine the degree of the Maclaurin polynomial required for the error in the approximation of the ...

A: Given f(x)=sinx We have to determine the degree of the Maclaurin polynomial required for the error i...

Q: Suppose that an accelerating car goes from 0 mph to 66.8 mph in five seconds. Its velocity is given ...

A: Given that an accelerating car goes from 0 mph to 66.8 mph in five seconds. Its velocity is given in...

Q: flx). a/2)=6x+6.and hlx) -alA 88

A: Click to see the answer

Q: Use the graph of f to determine the domain of f. Where applicable, use interval notation.

A: From the graph, the x-values are ranging from -4 to ∞ but excluding -4.

Q: Please answer the following question.

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Q: zoom for a better view

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Q: The area of the region in the xy-plane enclosed by the x-axis, the curve y = f(x), f(x) 2 0, and the...

A: given: a function y=f(x), f(x)≥0. the area of the region in the xy plane enclosed by the curve y=f(x...

Q: Solve the following IVP using Laplace Transform. (i) y′′−4y′=e^(3t), y(0)=0, y′(0)=0 (ii) y′′+3y′+2y...

A: given Initial Value Problem is, (i) y′′−4y′=e^(3t), y(0)=0, y′(0)=0 (ii) y′′+3y′+2y=e^(-t), y(0)=0 y...

Q: The function g(C)=1.8C+32 takes a temperature in degrees Celsius, C, and outputs the corresponding t...

A: Given that: The function g(C) = 1.8 C + 32. The function g(C) takes a temperature in degrees Celsi...

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Q: Find the following limit:

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Q: Find the rate of change of y with respect to x when x=3000 and y=100

A: Given data: The given expression of the function is 180x0.75y0.25=230,734. The given value of unit...

Q: the roots of 1000pi*cos(pix/6) from [0,12] i know its 3 and 9, but how do i calculate it

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Q: Times for a bank teller to serve a customer are exponentially distributed with a mean of 2 minutes. ...

A: Given that Times for a bank teller to serve a customer are exponentially distributed with a mean of ...

Q: Find the volume of the solid whose base is the region in the xy-plane that is bounded by the parabol...

A: Volume below z=f(x,y) and above region R IN x-y plane is given by: V=∫∫Rf(x,y)dA where dA is the Ar...

Transcribed Image Text

(a) Use the Quotient Rule to differentiate the function tan(x) – 1 sec(x) f(x)