Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 ≤ 0 < . Enter your answers as a comma-separated list of ordered pairs.) r = 6 cos(0) horizontal tangent vertical tangent (r, 0) = (r, 0) =

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Q: following •f(x) > 0, 1<x<2 • f'(x) < 0; -2<x<1 · f' (1) = 0 Given the sketch f(x)

A: Please see the below picture for detailed solution.

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Q: On which interval ƒ(x) = − 3x is increasing? 4 O a. (-∞, -2)and(−2, 2) O b. (-2,2) c. (-∞, -2)and(2,…

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Q: Consider the circle drawn in the xy-plane with center point (-5, 12). (x,y) (a) Determine the radius…

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Q: it exists) integral (if it exists) Find the indicated integral (if ·∞ e4x e8x + 1 dx =

A: The given integral is e4x/[e8x+1], limit from -infinity to infinity.

Q: 3. Differentiate the functions below. 5) y = (2x5 + 3)cos x²

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

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Q: At what points is the function y= cos X 6x + 12 continuous? Describe the set of x-values where the…

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Q: arctan(x) + arctan Let f(x) = arctan(x) + arctan f'(x) = Thus, f(x) = C = f(1) π To find C, we let x…

A: To prove:- arctanx+arctan1x=π2, x&gt;0

Q: For the function h(x,y) : = əh ax ah ду || 7x+8y 5xy – 8 find əh ?х and

A: h(x,y)=7x+8y5xy-8∂ ∂x(xn)=nxn-1∂ ∂x(constant)=0

Q: At what points is the following function continuous? f(x) = x²-2x-8 X-4 6, 1 x #4 x = 4 The function…

A: f(x)=x2-2x-8x-4,x≠46,                   x=4at x=4, f(x)=6

Q: Use the appropriate formula to find the value of the annuity. Find the interest. eriodic Deposit…

A: Please see the below picture for detailed solution.

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A: Given :∫x3+3xe5xdx

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A: By the use of graph, we need to find out the value of R(40), value of t when R(t)=50 and also R(0).

Q: Consider the following. u = (5,5), v = (4, 6) (a) Find the projection of u onto v. (b) Find the…

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Q: QUESTION 1 If f(x) = 3x +5π, -T<x<T, Then the sum of the Fourier coefficients ao+b₁+ b₂ + b3 is…

A: Please see the below pictures for detailed solution.

Q: Find the component form of the vector v in 2-space that has the length - ||v||=10 and makes the…

A: To Find : Component form of the vector v in 2-Space that has the length ||v||=18 and makes the angle…

Q: - Q3. Find the point on g(x) = 2x(x − 3) whose slope is 6.

A: To find the point on gx=2xx-3 whose slope is 6.

Q: Find the limit by rewriting the fraction first. xy-y-5x+5 X-1 lim (x,y)-(1,7) X#1 lim (x,y)→(1,7)…

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Q: Model the data using an exponential function f(x) AbX. %3D 1 2 f(x) -51 -65.025 f(x) = Need Help?…

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Q: Find the derivative of: 8x5 + 5x8

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Q: 3. Given the table below showing the yearly salary based on years experience with the company for…

A: Solution: a) Let's take any two point (1, 22000) &amp; (15, 34800)

Q: Find the norm of v. NOTE: Enter the exact answers. (a) v = (3,-3) ||v|| : = (b) v = −7i+j ||v|| : =…

A: As we know that, If the given vector is v=xi+yj+zk or x, y, z then the expression for the norm of…

Q: Consider the region R enclosed by all of the curves y sin z, y = cos z, z = π/2, and z= . Which of…

A: Find the volume of solid

Q: Given the function f(x) = −2x² Find the difference quotient f(x+h)-f(x) h Find f'(x) by determining…

A: Please see the below picture for detailed solution.

Q: 1-47 Evaluate the integral. 1. fsin'x cos³x dx 2.

A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: The family of functions is solution of the equation C = -2x y = ce + e y + 2y = e. Find the constant…

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Q: Given the the function y₁ = 4 is a particular solution of the differential equation x2y" - 7xy +…

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Q: Consider the following. u = (2,−1,0) v = (-2, 7, 0) Find u x v. Determine if u x v is orthogonal to…

A: Given vectors: u=&lt;2,-1,0&gt; v=&lt;-2,7,0&gt;   The first vector can be written as, u=2i-1j+30…

Q: Solve the following differential equations. sin x)dx 1. dy=[ytan x + +e²x

A: We can solve it as below.

Q: A solid is formed by rotating the region in the first quadrant of the xy-plane y = e2 + 1 and x =…

A: We need to find out the volume of revolution.

Q: Find the acute angle (in degrees) between the planes x + 3y - 5z = - 6 and 2x + y 4z = 9. Question…

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Q: Let F = (2xy + z²x²,2xz) and let C be the circle r(t) = (5 sin t,3 sin t,6 cos t), for 0 st≤ 2.…

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Q: Find f-1 (x) for f (x) = x2-9, x>0 оо o O f-1¹(x) = -x² +9 O f-¹(x)=√x + 9 O O f-1 (x) = 1 x² +9…

A: According to question,Given Function,fx = x2-9