1. What is the slope of the line tangent to the curve y=x3(x2-3) at x=-1? A. 1/4      B. -1/4      C.-4    D. 4

Q: Find dy/dx by implicit differentiation. x + y6 = 60 dy/dx

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Q: Find the composite functions (f g) and (g ). What is the domain of each composite function? (Simplif...

A: Topic = Functions

Q: Question 5 x3+5 Determine f '(x). f (x) = (A 1- 10x-3 B 3x2 3 2 (D 5x4 + 10x 2.

A: Given: fx=x3+52   As we know that; The sum./difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 A...

Q: 65. y = 3x - x3, x = 0, y = 2 are bounded in the first quadrant. Determine its area. % sq. units %3!

A: Given: when y=2, we have 2=3x-x3⇒x=1. Now, dydx=3-3x2. So,            S=2π∫01 1+3-3x22dx  =2π∫01 10...

Q: 12 3 3. Evaluate the integral ||xy (x² + xy + yz* kixdydz . ху 0 0 1

A: We have to find the value of the given triple integration 

Q: Given lim f(z) = 5 and lim g(x) = 6, evaluate: %3D %3D lim (– 6f(z) + 6g(z)) = 66 z+7 lim (– 6+ 6f(x...

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Q: Question 8 Find dy/dx of y= sin-!x+ cos-!x dy/dx is Blank 1.

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Q: Obtain the Laplace transform of the given functions. Simplify answers, whenever possible. Show compl...

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

Q: The graph below is the function f(x) -3 -4 Find the following. If no value exists, enter DNE. lim f(...

A: Given:  The graph below is the function fx. To Find:  To find the following. If no value exists, to...

Q: Question 7 Find dy/dx. y = x$ sec (–) (A x3 sin 5x cos x + x² sin² 5x () B -x3 sec + 5x4 tan sec (c)...

A: here problem of differentiation we use d(u*v)/dx rule d(u*v)/dx = u*dv/dx + v*du/dx so answer is giv...

Q: (a) (2.001)5 (b) V9999

A: Given problems:- Use a linear approximation (or differentials) to estimate the given number a) (2.00...

Q: Find grad f, plot some level curves f = constant and indicate grad f by arrows at some points on the...

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Q: A survey of 100 people showed that 24 own a car, 59 own a bicycle, and 17 own both a car and a bicyc...

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Q: Use the Quotient Rule to find the derivative of the function. f(x) • X- 9 f'(x) =

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Q: 4. Verify that the function y = is an (4 – 12) explicit solution of the differential equation y' = 2...

A: To veryfy that the function y=14-x2 is an explict solution of the differential equation, y'=2xy2.  

Q: A. Consider the function whose graph is shown below. Determine if the function is continuous at the ...

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Q: Your are driving away from Detroit. Your distance (in miles) away from Detroit x hours after 12:00 n...

A: Find your answer below 

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a No...

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Q: dx 5. HalfAnge Substuion 3+5csx

A: Consider I=∫dx3+5 cos xwe use the formula cos x =1-tan2x21+tan2x2

Q: Given cost and price (demand) functions C(q) = 120g + 42,000 and p(g) = - 1.9q + 870, what is the ma...

A: Solved below

Q: а. If lim f(x) and lim f(x) exist, then so does lim f(x). 2at For those who have trouble viewing the...

A: To determine whether the given statement is true or false

Q: Sketch the graph of the equation. y = 4 - x2 Graph 20 17 After 16 can u 35 proper 14. 13 12. 10 9. 8...

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Q: Determine the value of c such that the function is a probability mass function. h(x) = cx(x – 1), x ...

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Q: e) lim e¬x²x3

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Q: Find the derivative of the trigonometric function. (e) = t$ sin(t) f (t) =

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Q: 1. Evaluate the integral |// cos (-) dV, where G is the solid defined by the G inequalities <y< , y ...

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Q: 3-VE For dz, z = 2+vz

A: Given,             ∫3-z2+zdz

Q: 1. Which of the following functions have a derivative of zero? a) y = 9.8 b) y= 11 c) y=-4+x d) y = ...

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Q: y = f VI + t? dt Y : 0. t2 dt

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Q: dentify the length of the curve 9y2 = 4x² from x = 0 to x = 3. %3D

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Q: 100 venicies showed that 00 Tlad Tes with low press with Dald lore, 30 Tiad tires WILIT DOlI and bal...

A: We will find the number of vehicles with such tires. 

Q: Find the derivative of the trigonometric function. g(x) = 8 tan(9x) g'(x) =

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Q: A company produces a special new type of TV. The company has fixed costs of $494,000, and it costs $...

A: Find your answer below 

Q: 2. Find the area bounded by the curves y = x² - 2x + 2 and y = - x+ 2. (0, 2) (1, 1)

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Q: Problem 28: The parametric equation of a curve is given as x = 4t – 3, y = 16t2 – 9. Compute the len...

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Q: The graph below is the function f(2) 6- 4. 2. 6 -7 -6 -3 -4 -5 -6- -7. lim f(x) : %3D Enter the limi...

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Q: a) y=9.8 b) y= 11 c) y= -4+x d) y = e) y = 7 f) y=x g) y = h) y= -2.8T ४ 3/4

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Q: Given cost and price (demand) functions C(q) = 100q + 41,000 and p(q) = - 2q+ 870, What price should...

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Q: 8-4 Identify all the points of discontinuity of the function ()%D 4)/(4x3-x)]. Classify each type of...

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Q: The integral of x-Inx with respect to x is,

A: Given,             The integral of x2lnx with respect to x.

Q: Question 11 d²y is Blank 1. Find the second derivative of y= (x+5)² The dx- Blank 1 Add your answer

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Q: Find the general solution or particular solution of each of the foll 1. 2y(x+y+2)dx + (y²–x²– 4x – 1...

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Q: S sin(1 – x) (2 – cos(1 – x))* dx A (2-sin(1-x)5 (2-sin(1-x)5 +C +C D (2-cos(1–x)5 +C (2-cos(1–x)5 +...

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Q: Find y as a function of x if y" – 11y" + 28y = 0, y(0) = 1, y(0) = 5, y"(0) = 6. y(x)

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Q: lay De recoraded Vià ány device capable of producing a digital video file, or can be recorded direct...

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Q: 4x + 4 if r 8 36 if r= 8 Is f(x) continuous at z = 8? O Yes • No Cannot Be Determined

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Q: View Policies Current Attempt in Progress Find the area of the shaded region. The image is not to sc...

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Q: %3D If X-N(50,10), P(X < 60) = ? O 1) 0.841 O 2) 0.159 3) 0.341 4) 0.659

A: Given: X~N(50,10)

Q: 5. f(x) = S2e* + 1 if x # 0 0 if x = 0 at x = 0

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Q: Find the length of the arc of the curve from point P to point Q. x2 = (y − 4)3,  P(1, 5),  Q(27, 13...

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