Find the slope of the line through P and Q. Р(5, -9), Q(-3, 8) -1/8

Q: Qeustion 1 Use implicit differentiation to find the equation of the tangent line to the cardioid cur...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Find your answer below 

Q: Given: cosa= -, sin x = - 12, e is in the third quadrant, and x is in the fourth quadrant; evaluate ...

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Q: A 20 ft ladder leans against a wall. The bottom of the ladder is 3 ft from the wall at time t=0 and ...

A: A 20 ft ladder leans against a wall. The bottom of the ladder is 3 ft from the wall at time t=0 and ...

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

A: Given problem:- A ball is thrown downward with a speed of 14 ft/s from the top of a 196-foot-tall bu...

Q: The position of the particle at time t is given by s(t) = t- 18t + 80. The particle is moving from r...

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Q: Given: cosa= -, sin x = - 12, e is in the third quadrant, and x is in the fourth quadrant; evaluate ...

A: Topic:- trigonometry ratios

Q: 6. [Geogebra Question] The altitude (in metres) obtained by an object t seconds into flight is given...

A: To find the maximum height of the object.

Q: Obtain the solution using Integrating Factors Found by Formulas y(y + 2x − 2)dx − 2(x + y)dy = 0

A: Find your answer below 

Q: . Consider the equation x + y + e*Y = e dy (а) Find using implicit differentiation. dx (b) Find the ...

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Q: The graph of a polynomial function is given. What is the smallest degree that the polynomial could h...

A: The given graph is:   What is the smallest degree that the polynomial function could have?

Q: A rocket is fired vertically upward from the ground. The distance 8 in feet that the rocket travels ...

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Q: If r = c is a critical number of f, then f has a local extrema at I = c. True False

A: This question can be solved by applying the concepts of relation between critical points and local e...

Q: Consider the integral 2 6z² In(z) dz

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Q: 4 6 8 16 f(x)/x represents the average cost of producing 1 kilogram of the chemical when æ kilograms...

A:  The slope of a line connecting two points  is given by If  , this slope is  . Then we can conclude...

Q: The position of the particle at time t is given by s(t) = t - 10t + 24. The particle is moving from ...

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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: A ball is thrown downward with a speed of 15 ft/s from the top of a 225-foot-tal building. After t s...

A: This is application of derivative problem

Q: If x = c is in the domain of f such that f'(c) = 0 and f"(c) > 0, then f has a local maximum at x= c...

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Q: Select the best answer. sin x 1+ cosx + sin x 1+ cosx

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Q: A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s ...

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Q: Solve the proportion and check. - 3 4 12 - 3 p The solution set is { 4 12 (Type an integer or a simp...

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Q: A cup of coffee, cooling off in a room at temperature 24°C, has cooling constant k = 0.108 min -1 (a...

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Q: A ball is thrown downward with a speed of 19 ft/s from the top of a 361-foot-tall building. After t ...

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Q: Differentiate: y = 2sinx/e O a. y' = (cos x- sin x)/e O b. y = (2e*cosx - 2e*sinx)/e2x O c. y (2e*si...

A: Please see the solution below.

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

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

Q: 12. Let F(x, y) = esinx+cosy(cos x ,– sin y) and C = {(x, y): x² + y² 0. Show that F- dR = 0 Hint: ...

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Q: x² – 5x – 6 44. f(x):

A: To sketch the graph of f(x)=x2-5x-6x2. Solution: First differentiate the function with respect to x....

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: 1) y=π 2)f(x)=(x2+3)+(2x-5) 3)y=(x2-3x)10

Q: If x = c is in the domain of f such that f'(c) = 0 and f"(c) > 0, then f has a local maximum at x= c...

A: The given problem is solved below in detail.

Q: 3. ponits Find the surface area of the volume generated when the graph of f(x) = /1+x², on the inter...

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Q: ) Σ (-1)" n = 1 00 (-1)**2 2) Σ n = 1 3) Σ sin(n) 3 n = 1

A: series are given, we have to the absolutely convergent series.

Q: The position of the particle at time t is given by s(t) = t- 18t + 80. The particle is moving from r...

A: The given problem is solved below in detail.

Q: If s(t) = 8t = 12t – 48t + 5, represent the position of a particle traveling along a horizontal line...

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Q: aph of f shown below has vertical asymptotes at x= -1 and x=2. Analyze the following limits. OA. lim...

A: Limits

Q: cln /3 2e" Ve2a + 1 dx

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Q: Evaluate the integral. 3. Vx² + 9 dx V x2

A: Evaluate the integral  of √(x2+9) from 0 to 3. 

Q: Give an example of a increased rate and a decreased rate

A: Increased and decreased rate with proper example are as follows.

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: cos* (cos x) COS. dx CSc x

A: Given  ∫cos4cosxcscx dx

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: x-2y+3 3. The differential equation is reduced to [homogenous or separable]. dx 2x+3y-4

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Q: If x = c is a critical number of f, then f has a local extrema at I = c. True False

A: Question: If x=c is a critical number of f then f has a local extrema at x=c 

Q: Determine if lim f(x) = f(c). Write YES if limf(x) = f(c), otherwise NO. Show your proof x2-2x+3. 2....

A: 2. F(x) = (x2 -2x +3)/(x-1)2 ; c= 1 here F(x)≠F(c) , because if we put here value of c = 1 in the fu...

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty o...

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Q: A ball is thrown downward with a speed of 19 ft/s from the top of a 361-foot-tall building. After t ...

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Q: a. Determine an equation of the tangent line and the normal line at the given point on the curve. b....

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: Determine whether the given statement is true or false. {9, 11} C {11, 9} Choose the correct answer ...

A: Statement is false. 

Q: 8 EXIF W-f Cxr g), X=2u+3 V 9. y -3u - 2V »Provethat wuv bw xX+5 wXy-6WYY 10 11

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Q: 2. Determine the slope of the tangent for the following function: 3x f(x) at x = 4 2 x-4x+3

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