Find the infinite sum (if it exists): 00 i=0 If the sum does not exists, type DNE in the answer blank. Sum = %3D

Q: If you will draw the graph of y=x^2 (x-1), how will the graph behave at the x-axis?   A) The graph c...

A: y= x2(x-1)at x = 0:y = 0(0-1)y = 0and at x=1, y=12 (1-1)Hence, The graph crosses (0, 0) and (1, 0).

Q: Show that , x (1– x)3(1+2x)¯'dx X 3 %3D 93

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Q: dv A model for the velocity v at timet of a certain object falling under the infiuence of gravity in...

A:

Q: There is a removable discomtinuity at x = 1 and f(1) = 4 8. There is a jump discontinuit 2 and f(2) ...

A: Since we are given with multiple number of question and answered according to the guidelines.

Q: 1 94. Prove that the derivative of f(x) = In x is f'(x) %3D by completing these steps.

A: The given function is f(x)=ln x

Q: A roofer, Anita Shin-Gulls, is re-shingling a house in Richmond Hill. The roof is 1500 cm above the ...

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Q: For the circle x^2+y^2=25 a. find y when x=3. Enter your answer as a list of numbers separated by c...

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Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

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Q: 3. f(x,y)= In(x cos y)-cos (In3y)+

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Q: (a) lim (3xª + 2x² - x + 1) X-2 PIE

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find the slope of the function's graph at the given point. Function: f(x) = x² + 1 Point of the f(x)...

A: We have to find slope of function.

Q: Find dy at x = -1 if y = u’ +5u – 4 and u = x² +x . dx

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Q: In 2000, 50 grams of radium were stored. The half-life of radium is 1,620 years. How many grams of r...

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Q: Evaluate the integral: 2 integal: / dr (A) Which trig substitution is correct for this integral? Oz ...

A: According to question,Given integral,∫2x2-4x4 dx

Q: finding the inverse of matrix a=  1 1 2 3

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Q: QI Evaluate 2 2 | 2y? sin(xy) dydx 0 x

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Q: 7. There is a removable discontinuity 8. There is a jump discontinuity at x = 1 and f(1) = 4 at x = ...

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Q: a. Graph the following system of equations. y = -3x y = x + 4 b. What does the graph show to be the ...

A: We have to Graph given system of equations after that we have to find its solutions.

Q: DeAndre and Leah are making origami cranes. Their goal is to complete 1,000 cranes by the end of the...

A: We have to solve given questions on the basics of Given graph.

Q: Find the derivative. 1. y = Vx2 – 5 2. y = (2x? – 1)3(3x² + 1)3 (3x²-7)* (3x²+5)4 %3D

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

Q: dy 3. 9-49y²

A: To find out the integration. 

Q: B1² – 12:² = 16: %3D

A:  Given: 3y2-12z2=16x  

Q: Identify the quadric surface each of the following equations represent and sketch its graph.

A: Given:- -4x2 + y2 -25z2 =0

Q: sec 2 2 O tan´y dx = secx dy

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

Q: write the following system as an augmented matrix. don't solve it 5x+3y-z=14 y+6z=2 10x-9y =0

A: If the given equations are a1x+b1y+c1z=k1; a1x+b2y+c2z=k2 & a3x+b3y+c3z=k3 then the augmented ma...

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

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Q: A. Evaluate each of the following definite integrals. 2 Sí (8x3 + 3x2) dx 1. 2. (1+ 2x – 4x²) dx 3 3...

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Q: fracd the AREA honded by a cylind rical asonolinecte P=2m b. 2. C.

A: Derivation of surface area of open cylinder:S =∫02π∫0h∫0r dr dh dθS = 2 π r h    For given coordinat...

Q: B. Determine the standard form of equation of the hyperbola whose general form is given. 4. 4x - 3y ...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: ) H (æ) = 13- 2a+36a -2 then f is concave down ou (A) (-0,-3) and (-3, 0) %3D (B) (-, -3) and (2, 00...

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

Q: Find the average rate of change of the function over the given intervals. f(x) = 9x° +9; a) [1,3], b...

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Q: limit

A: Please refer to the image below

Q: 1 (b) 49 343 61 343 An = 3 7 11 15 (1s 12 16" 27 64 VaV V云 8 (c) (d) an三

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Q: What is x sec xdx ? A. xtan x- In cos x+ C C. xtan x- In |secx+C | B. xsecx-secx tan x+C D. xsec x+ ...

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Q: 84. A man is on a wharf 4 m above the water surface. He pulls in a rope to which is attached a coat ...

A: Given that: Height of wharf above water surface, h=4mRate of pulling=2m/sec

Q: V. HIGHER DERIVATIVES AND CHAIN RULE 1. x = (1+t)? 2. у %3D х?(х — 1) (2х — 5)2

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Q: Given the graphs of f(x) and g(x), determine the value of expressions below. y f(x) y = g(x) lim (f(...

A: From the given graph, we can find the following limits: limx→2f(x)=0  limx→2g(x)=0 limx→1g(x)=1 limx...

Q: The calculation of the numerical values of key variables is the only reason to build models. True F...

A: This is a basic calculus problem

Q: (+++)" В. y C. y = 2x/x² + I

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Q: y(2x³ -x²y + y³)dx - x(2x3 + y3 )dy = 0

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Q: The function h (t) = -25 cos(4nt) + 29 represents the height above the ground of a chair on a Ferris...

A: Given, h(t) = -25 cos(4πt) +29where ,25 = amplitude of cosine functiona) time to complete on revolut...

Q: 4. Use the product rule twice to prove that if f, g,h are differentiable, then (fgh)' = f'gh + fg'h ...

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Q: The Sibago Island lighthouse in Zamboanga stands on a rock 163.4 meters above sea level. A man in vi...

A: A

Q: There is an tnfinite discontinulty 10. There is a jump discontinulty at x 0 and f(0) = -2 at x = 1 a...

A: There is an Infinite discontinuity at x=0  and f(0) = -2

Q: 7. For what values of A and B does the function y = differential equation y" +y' – 2y = sinx? (Hint:...

A:             Given  y=A sin x+B cos x            We have to differentiate twice                i.e., ...

Q: &

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Q: Determine if the given function is continuous and differentiable at the indicated values of x. Write...

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple questio...

Q: Part A A helicopter carrying Dr. Evil takes off with a constant upward acceleration of 6.0 m/s. Secr...

A:   Given: A helicopter carrying Dr. Evil takes off with a constant upward acceleration of 6.0 m/s2. S...

Q: > [2] S 1+e* dx 1-ex

A: The solution is given in the next step.

Q: Evaluate the following integral. 2 de 1

A: Given that: ∫124-θdθ