Using the Limit Laws, find limt→0 t2+9−3t2. Do not use L'Hospital's Rule.

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: (a) Find the slope of the line through (-7,5) and (9,-3). (b) Based on the slope, indicate whether…

A: Given :Points : -7, 5 and 9, -3

Q: 13. Integral √x dx

A: Here we have to find the integral.

Q: 11. Find the angle between the planes: 4y + 3z = -12 and 3x +2y + 6z = 6.

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: Evaluate the following triple integral by hand: 2 √z } } } - dxdydz = 3 z=1 y=2 x=-1 X y

A: Topic = Integration

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A: To find the distance between the two cars.

Q: Evaluate x/12 0 14√/1- cos 12x dx.

A: Given, ∫0π4141-cos12xdx

Q: -)Find volume of body from above Z=√√4x² - y² and below Z Triple integration. 1 using

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Q: sint do соби Ө

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Q: Let f(x) be defined as below. Evaluate f f(x) dx. X f(x) = 7 9 оо 6 1 ·x 0< x≤2 2 < x≤4 4 < x≤6

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Q: 4. For the series Σ=1+()", does it converge and if so what does it converge to? * n²

A: We have to check that series 1/2*(2/5)n  where n=1 to infinity. Is convergent or divergent.

Q: (C) For what values of x does the series 11=1 (D) Find Taylor series at x=2 for the function ala…

A: series and taylor

Q: A car drives down a road in such a way that its velocity (in m/sec) at time t (in sec) is v(t) =…

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Q: Using the Inverse Function Theorem, what is (-) (8) given that f(x)=√6x-2? Note that (11) = 8. (B8…

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Q: The position in feet of a race car along a straight track after t seconds is given by s(t) = 4t² - t…

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Q: Describe type I and type II errors for a hypothesis test of the indicated claim. A culinary school…

A: Here we have to find type l and type ll error.

Q: 13. Find the distance from the point (2, 2, 3) to the plane 2x+y + 2z = 4.

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Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x)…

A: To find the following values.

Q: Using the Inverse Function Theorem, what is (-1) (8) given that (x) = √6x-2? Note that (11) = 8. (Do…

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Q: -2 -6- X G

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Q: Consider the graph of y = f(x) shown below in blue. Find the open interval(s) where f'(x) is…

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Q: (1) f(x) = sin (5x + 6) (3) f(x) = sin(x-³) (2) f(x) = sin (3x4 + 2) (4) f(x) = cos (4+ 3x)

A: To find f'(x)

Q: Find the equation of the tangent to the function y = cos(2x) at the point where x = л/4.

A: equation of a tangent line

Q: Find a vector-valued function, using the given parameter, to represent the intersection of the…

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Q: Solve the initial value problem y″ + y = 0, y(7) = 8, y′(π/3) = − 16 y(t) = √√3cost + 8√√/3sint y(t)…

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Q: B)Solve the differential equation x+4y M

A: Given differential equation is:

Q: O- - 1 2x (In x)2

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Q: B)Convert r = √2 cos (0-) to cartesian.

A: we need to convert polar coordinate into cartesian.

Q: Find the unit tangent vector T(7) for the line tangent to the space curve r(t) = (12 cost, 12 sint,…

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Q: 16. Integral Ydy 6y2-1

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Q: التاريخ 5.1 1 1 If the vector [42] An with the straight Piecel the end point?

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Q: The number N of Netflix subscribers in Grassyboro is shown in the table below. Estimate the…

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Q: (b) Use L'Hopital's Rule to find the following limits: e-1 x (i) limx→0 (ii). lim-0 x-y fl (x > 0, y…

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Q: Suppose that Mark is flying a kite with the string tied to his glasses (so that it’s easy to measure…

A: To find how far above the ground the kite is flying.

Q: B)ls w = Ze² analytical function or not?

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Q: Solve using Inverse Operaators. y"" - y = 4e-x + 3e2x; Particular Solution: Y=C1+ C₂ eax + C3 ebx…

A: Given that,

Q: Use any method to evaluate the integral. dx X>11 (x²-121) 3/2

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Q: Asymptotic to x= 0, x=5 and y=0

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Write an equation of the line that satisfies the given conditions. Give the equation (a) in…

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Q: 8. 9. A) 1−sinx Ĵ (COSX + 1 COS X+X 2(cosx+x)2 E) ·x)³ dx = ? 1+tan²a (2 + tana)² -+C B) +C D)…

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Q: Use the chain rule to find dz/t. z = x² + y² + xy, x = sint, y = et

A: Here we will find dz/dt,

Q: Use the properties of the derivative to find r(t) = 3/i+6f³j+31³k u(t)=2i+2r²j-3t³k [r(t) - u(t)]…

A: This question is related to derivative, we will solve it using given information.

Q: Since the creation of a social program, the percent of persons 65 years and over with a family…

A: Here we have to us ethe given function.

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: car traveling at 45 ft/sec decelerates at a constant 7 feet per second per second. How many feet…

A: Given initial velocity (u)=45 ft/secFinal velocity, as brakes are applied (V)=0Acceleration=-7…

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B. cos…

A: According to bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: Given f(x) = 3x+8, (a) Find f(x+h) and simplify. (b) Find f(x+h)-f(x) h Part: 0 / 2 Part 1 of 2 (a)…

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Q: Suppose that the nth term of the sequence of partial sums for a given series is Sn = 1+2n+3n² 4n²…

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