Using the remainder theorem  determine whether (x-4) and (x-1) are factors of the expression x3+3x2-22x-4

Q: Find a value of x, if any, at which f (x) = Vx – 125 is not continuous. If f(x) is continuous for al...

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Q: 14. Evaluate the given integral by converting to polar coordinates x dA R = {(r, y) : 0 <x < 1/v2 an...

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Q: Simplify. sin?e + sing csce cos?e tane 2 1

A: The given problem is solved below in detail.

Q: For the function f graphed in the accompanying figure, find the following limits. If a limit does no...

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Q: Determine whether ivergent.

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Q: (a) Find the Taylor series of Ax) = usinge (b) Using the Taylor series found in part (a) find the ap...

A: Question - 1 Given function fx=11-xa=12 The Taylor series of a function f(x) at x=a is given by fx=f...

Q: Express the iterated integral as an equivalent integral with the order of integration reversed. 18 p...

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Q: 22. Evaluate dr. x2 – 8x – 9 - a. cosh-1 -4 b. 4 cosh-1* – 4 +C C. sinh-1 – 4 5 +C d. 4 sinh-1 - 4 +...

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Q: Simplify. Express in terms of tangent and/or cotangent. tan“ x+1 V cot? x+1 cotx tan 4x tanx

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Q: D. Eliminate the arbitrary constant C. 5. y'sinx-2x'y³= Cy? 6. y=C,e6x+3C2ex

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: To find out the taylor series. 

Q: 3.18 Find the gradient of the following scalar fields and evaluate the gradient at the specified poi...

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Q: A company's demand function of a product is given by : 10) p- 150 - 0.002 x ,where p is the price pe...

A: The revenue function, R(x) = x P(x), where P(x) is the demand function. R'(x)  is the rate of change...

Q: Example 6 If ð = (3, 2), b =(5, –1), ĉ = (-4, 2) find (a) 2a + b – 3c (b) 3a + 26 – 7.

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Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

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Q: Evaluate the slope of the function: a. f(x) =x^2 + x - 2                              at x = -1.5 b...

A: Here we have to find the slope of the given different functions.  

Q: Exercise: Show that x vzdA = Qdx2 Therefore, we have x vidA+ V x VzdA = |_ Pdx1 + Qdra = ▼ × vdA = ·...

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Q: (s + 8)3J f(t) %3D

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Q: Given h(x, y, z) = 4Vx+ ln (y² + z²+1). (a) Find the directional derivative of h at the point (1,0, ...

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Q: derivative

A: We will find the derivative. 

Q: Q. It sin x Cos X XCOS xQ /- sin xd 3.

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: Given:   The area between the curves 2y=4x, y=4, 2y+2x=6 is       A=∫abfx-gxdx Isolate for 2y=4x    ...

Q: Show that each function is continuous at the point indicated. 1. f(x) = 3x2 – 4x + 2 at x = 2 2. f(x...

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Q: 2. Find frxz for f(x, y,z)= z² e³xy

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Q: 3. x In x A In С п IInxI + С - + C Inx B D In I In xI + C Inx

A: ∫πx ln xdx

Q: sin (x) Since tan (x) = use the Quotient Rule to explain why Veft ( tan (x))=sec (x) dx %3D cos (x) ...

A: We can find the answer as below using quotient rule.

Q: (3+ х) lim 1— (3-х)1

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Q: Given f(x) = 2 /x + 2, find f'(x) using the limit definition of the derivative. f'(x)=

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Q: x? — х - 2 lim х->-1 x? + 3x + 2 X→-1

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Q: 1. Evaluate the integral x°y dædy. 2. Evaluate the integral I I ? sin(1) dydr. 3. Evaluate the integ...

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Q: Select the best answer. cos( - 1) =

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Q: The Maclaurin series of the function f(z) = 3z'e-9 can be written as f(x) = Cn" n=0 where the first ...

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Q: Watch the video on completing the square to integrate 1/sqrt(x^2+4x-12) 2 before answering this ques...

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Q: Solve for the constants of the integration and the general form of the equation.  A particle travel...

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Q: Find the nth Maclaurin polynomial for the function. 2x 3 f(x) n = 4 x + 1 Pa(x) =

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Q: Evaluate the Integral dx – (**V2Tan-1x-(Tan-1x)2 1-х4 '2Tan-1x-(Тап-1x)2 3. S х?/2Tап-1x- (Тап-1x)2 ...

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t³ – 9t ...

A: Given problem:- The position of a hummingbird flying along a straight line in t seconds is given by ...

Q: If s(t) = 4t3 – 6ť² – 24t + 8, represent the position of a particle traveling along a horizontal lin...

A: Let's find. 

Q: 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an equilater...

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Q: the largest open intervals of the domain over which each function is ncreasing, decreasing, and cons...

A: Increasing decreasing

Q: sinty

A: This is a basic integration problem

Q: du What is the value of u, given the equation equal to? A. x² В. 4 С. 6 D. none of the above

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Q: I A man buys a motorcycle. There will be no maintenance cost the first year as the motor cycle is so...

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Q: 1. Given the function f(x, y) = x² /ÿ. (a) Find the local linear approximation of f at the point (3,...

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Q: Assume the following: lim f(r) = 3 lim g(x) = = 12, and lim h(x) = -3. %3D Compute the following lim...

A: The given limits,limx→cf(x)=34, limx→cg(x)=12 and limx→ch(x)=-3

Q: Show all your work 1. (a) a s} Sketch the region bounded by the graphs of y-Va-1 and y a-1 on [1,2]....

A: This question is based on washer method. V =  π∫ab [{R1(y)}2 - {R2(y)}2]dy

Q: A ball is thrown downward with a speed of 14 ft/s from the top of a 196-foot-tall building. After t ...

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Q: 3x2 + 5x + 11 Evaluate / dr. (x+ 1)(x² + 2x + 10)

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Q: dx '1 x[13+ln(x²)]

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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