Find the indicated vector. Let u = (-3, -9). Find -4 u. O (12, 36) O (-12, 36) O (12, -36) O (-12, -36)

Q: Find the derivative of the following functions using the definition of the sine and cosine function....

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Q: The diameter of a sphere is measured as 100 ± 3 cm and the volume is calculated from this measuremen...

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Q: If g = 1110°, simplify the expression sin- (sin g). If undefined, enter Ø. Provide your answer below...

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Q: Find the differential equation of the family of circles with fixed radius, r=0+4,and tangent to the ...

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Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the...

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Q: Given: f(x) = x + Vx; xo = 1 a) Find the instantaneous rate of change of y with respect to x at an a...

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,...

Q: Find two unit vectors orthogonal to a = (4,-5, 3) and b = (-4,0, –3) Enter your answer so that the f...

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Q: Gra ph the following fuctions and Show domains and ranges oF them ノ- ソ= 4Cos2x 文 MiS= R-て 3. %3D 3- ...

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Q: In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had reache...

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Q: Exercises (12): 1. Can Rolles theorem applicable for the function y = sin3x in [0, ] If then find th...

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Q: (2xy-y^)dx=(x²+xy²)dy=0

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Q: Solve the problem. Evaluate at (u,v) = (4, 1) for the function w(x, y) = xy - y 2; x = u - v, y = uv...

A: We will find the partial derivative. 

Q: Homework: % / Sketch the graph of the following curves by shifting, reflecting, shrinking and stretc...

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Q: Consider the polar equation r = 16 cos(0) – 12 sin(0). (a) Convert the given polar equation to a Car...

A: The given polar equation is: r=16cos(θ)-12sinθ...(1)

Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

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Q: Find fræ, fry and fun for the function YY f(x, y) = 3x2 + 3x?y² + 2xy+ + 3y³ Select one: O a. fræ = ...

A: Given query is to find the indicated partial derivatives.

Q: raph the following functio and show domains and range

A: Range will be all real number  And domain will be all point except where it is not defined. 

Q: x³+2x 1. dx x2+1

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = cos( -2 <y <0...

A: Topic = Volume

Q: Find the inverse of the function f (x) = x-1 2x+3

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Q: 3) f(x) — -3x* -18х +10, (a) Find f '(x) (Useformula) (b)Find the slope of the tangent line at x =

A: We can find both the answer as below.

Q: Let f(x) = (r' - 5z)" and g(z) = 20z + 10. Find g(f(x)). O 20(- 52)+ 10 o (20z + 10) ( - 5x)*) (x) O...

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Q: Solve the problem. A garden hose is spraying a stream of water at a box on the ground with a force o...

A: Force= 4.8 pounds , angle with ground= 30°  Find horizontal component of force 

Q: Solve the following system of equations, using whichever method you wish. x+ 2y = -1 2x+4y = -2 • If...

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Q: Let f(z) = 221 + 20 z – 6 Which of the following statement is true? O There is a c in the interval (...

A: see below the answer Intermediate value theorem:-  If a function f is continuous on the interval [a,...

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis.  y = Square root...

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Q: For f(x)= (2x – 3)°, find the equation of the tangent line at x = 0 and x = 2. The tangent line at x...

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Q: (x - ky) dx +k(y-x)dy=0 where k 3t7

A: Given :(x-ky)dx+k(y-x)dy=0where k=7+3=10  

Q: Determine if v is an eigenvector of the matrix A. Select an Answer v 1. 25 8.99999999999999 1 A = , ...

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Q: To Sketch the Graphs of functions using Derivatives. Problem. Consider the function f(x) = 8x - x' w...

A: Given: fx=8x2-x3f'x=16x-3x2 To sketch: The graph of the function using derivatives.

Q: Use the appropriate multivariable chain rule to find the indicated derivative. a. Let w = f(x,y,z) =...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: Find the derivative of the function. 3x-4 %3D 2. X+6x y' = ]

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Q: Test the series below for convergence using the Root Test. 3n 10n + 4 n=1

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Q: By direct differentiation, find f(x] where f(x)= lalact!)

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Q: Evaluate the integral. (Use C for the constant of integration.) COS3 sin? dt Need Help? Read It Watc...

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Q: As broadband Internet grows more popular, video services such as YouTube will continue to expand. Th...

A: NOTE: Refresh your page if you can't see any equations. . for the year 2008, t=1 so for the year 20...

Q: 2. Find the area of the region bounded by the graphs of y = x2 - 6 and y-3 = 0.

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Q: Apply the Ratio Test to show whether the infinite series is convergent or divergent n! Σ (-2)"

A: Given problem:-

Q: Find le mistakes 7. The velocity of a particle moving along the x-axis is given by v(t) = 3e' – 4t. ...

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Q: The population of a city is 140,000. It declines continuously by 3% per year. Assuming this trend co...

A: We can find the final population as below.

Q: Let R be a region bounded by the curves y = r and y = 4x – x². Evaluate (r+ y)dA.

A: Given: I=∫∫Rx+ydA And y=x2 ; y=4x-x2 Now find the point of intersection between the curves; x2=4x-x2...

Q: You start driving away from Morgantown at 12:00. Your distance away t hours after you left is given ...

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Q: Evaluate the integral: 13 – 64x dx - + C

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Q: 4. Which of the following is logically equivalent to (p V¬q)^(¬p V-¬q) ^(¬q Vr) а.)p b.)q с.) —р d.)...

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Q: Let r(x) = f(g(h(x)), where h(1) = 5, g(5) = 4, h'(1) = 5, g'(5) = 5, and f'(4) = 8. Find r'(1). r(1...

A: Given thatrx=fghx where h1=5,g5=4,h'1=5,g'5=5,f'4=8 To find :r'1Solution:rx=fghxr'x=f'ghxg'hxh'xr'1=...

Q: Find f(3,4) for f (x, y) = ln(x + Vx² + y²).

A: We have to find out the derivative

Q: 1) Using any of the differentiation rules taught in this chapter, find the derivative of the followi...

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Q: 9. lim e 10. lim e* x+00 x00 sin 6x 11. lim 5*+6 12. lim x+00 1 13. lim COS X 14. lim e -3x+4 4x+7 1...

A: These questions are related to limits, we will solve them using given information. 

Q: Never properly learned how to do this

A: The objective is to find h'(7).

Q: -8

A: