A. 23 cm B. C. 17cm 12) 23 m A. C. 53° B. 10)

Q: Find the derivative of the function. g(t) = r² - %3D g'(t)

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Q: Suppose that the position of a particle is given by s(t)=3t^3+6t+9 (a) Find the velocity at time t....

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Q: 64 dx. V Evaluate

A: The detailed solution is given below Thank you 

Q: Consider the cone z = √(x2 + y2). (a) Show that the tangent plane to this surface at any point (x0, ...

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Q: Step 3 We have determined the following. 4x2 - 3x g(x) h(x) = ex %3D %3D = 8x - 3 dx [nc»] • ex xp A...

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Q: k V9k² +1]

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Q: 10. An airplane flying 390 feet per second at an altitude of 5000 feet flew directly over an observe...

A: From Pythagoras theorem  for a right angle triangle with base a, height b, hypotenuse c we have, a2+...

Q: y = sin(Ax + B)

A: We will find the Differential equation as following. 

Q: Evaluate the indefinite integral. | sec²(v#) dx

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Q: Use Newton's Method to approximate the zero(s) of the function. Continue the Iterations until two su...

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Q: Prove and derive how this hyperbolic function is formulated.

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Q: 6. dx Vx - 1

A: Given that I=∫161x2-1dxsolution :∫1x2-a2dx=logx+x2-a2+C∫161x2-1dx=logx+x2-116=log6+62-1-log1+12-1=lo...

Q: An ice cream shop estimates that the revenue (in dollars) from the sale of x cones is given by R(x)=...

A: Given: - The revenue from the sale of x cones is given byR(x)=11000ln0.02x+1 To find: - The change i...

Q: Consider the given isosceles triangle of base 10 inches and side lengths x inches. If is increasing ...

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Q: Solve the problems. Show illustration. 1.A closed box, with a rectangular base,whose length is twice...

A: Note :-  These are multiple questions and according to our compnay law we can do maximum one questio...

Q: For the graph of e^-cosx what would the coordinates be (x1,y1)., The point where y’(x)=y(x)?

A: QUESTION- For the graph of e^-cosx what would the coordinates be (x1,y1)., The point where y’(x)=y(x...

Q: lim (x² + 1) = L x→2

A: Topic:- calculus

Q: Don’t skip any steps please Polonium-210 has a half-life of 140 days. It decays exponentially, where...

A: Half life is 140 days, initially amount 100mg

Q: A water tank is in the shape of an inverted cone (the vertex of the cone is the bottom of the tank)....

A: Set up the definite integral.

Q: Use a graphing utility to graph the equation. Move the cursor along the curve to approximate the unk...

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Q: 4. Set up the integral for finding the volume of the solid obtained by rotating the shaded region ab...

A: Given:    x = y2 - 4y     x = 2y - y2     Rotated over y = -2

Q: Find an equation for the paraboloid z = 2 – – (x² + y²) in cylindrical coordinates. (Type theta for ...

A: Given: - The equation is, z=2-(x2+y2) To find: -The equation for the paraboloid in the cylindrical c...

Q: Evaluate the indefinite integral. 4 In(5 – x) dx

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Q: Express the vector of the form v=vi+ v2j + v3k. AB if A is point (-9, -2, 1) and B is point (-4, -9,...

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant mult...

A: The logarithmic expression is given by lnx2yz Formula Used: lnm·n = lnm+lnn, lnmn = nlnm and lnmn = ...

Q: sec® x dx cot x SE V

A: We can evaluate the given integral by using the substitution u= tan x and the following formulas. 1...

Q: (a) Determine all distinct values of vZA given that A = -1+ iv3.

A: Follow the procedure given below.

Q: Use a tree diagram to write out the Chain Rule for u = f(x, y), where x = x(r, s, t), y = y(r, s, t)...

A: Given u=f(x,y) where x=x(r,s,t) and y=y(r,s,t) 

Q: Evaluate the limit. V x2 + 3 lim 3x² + 1 x- 00

A: Given: - The equation is, limx→∞x2+33x2+1 To Evaluate: - The limit of the given equation,

Q: piece of wire 22 m long is cut into two pieces. One piece is bent into a square and the other is ben...

A: We are asked to find the maximum and minimum of the area 

Q: [: [: ] -5 If vi = and v2 = -5 are eigenvectors of a matrix A corresponding to the eigenvalues X1 = ...

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Q: Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log7 69 (a) common log...

A: We can write the answer as below.

Q: %3D 7. (D* – 81)y = 0

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Q: хр x?V25 - x

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Q: x +1 dx | (25 – 12) 3 2

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

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Q: Determine the third derivative of y = In(2x + 3) Determine the third derivative of y = e(-x²/2)

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: We have to find limit.

Q: 1. SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos'x- 1) dx = 0 2. xy' =2xex ...

A: As you have asked for question number 5 only, so I am solving that.   We know, ∫xdx1+x2=1+x2+C, C is...

Q: Consider the following sequence: {a,} = {n – n² } 2 +0 %3D Use an+1 - an to show that the given sequ...

A: Given that: {an}={n-n2}1∞

Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base ...

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Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) = x-2 - 7x-1 – 6 g'(x) =

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Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

A: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1 and y-intercept 15

Q: Given the polar curves r = 1- 2 sin e and r = -4 sin 8. Do the following: 1. Sketch the curves on th...

A: Find your answer below 

Q: Calculate the average rate of change of the given function over the given interval. Where appropriat...

A: The Average Rate of Change function is defined as the average rate at which one quantity is changing...

Q: 3 PROBLEM 2:f(x) at (-1,3) x+2

A: topic - slope of a tangent line

Q: Consider the series. 00 9n Σ 3/5 n=1 (n2 + 1) 9x Let f(x) = Find f' (x). 3/5 (x² + 1) (Express numbe...

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Q: 2. The Terrapin Candy Company sells its specialty- Turtles made from pecans, caramel, and chocolate ...

A: topic - linear function note: As per bartleby guidelines ,we are supposed to answer only first three...

Q: Use the rules of differentiation to find the derivative of the function. f(x) = V f "(x) )%3D

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer i...

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