Find the radius of convergence and the interval of convergence. 2 K(k + 1) 1) First apply the Ratio Test for Absolute Convergence to the given series. The value of p is: O x

Q: f(t)=t^2+7t+2 Find the equation of the line tangent to the graph of f(t) at t=5. y =

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Q: tate the domain and range of the following functions. y = 5x – 4 y = V - x {(x, y)ly = Vx2 – 16 %3D

A: Given problem is :

Q: DIFFERENTIAL EQUATIONS Solve using variation of parameters or reduction of order Show your step-by-s...

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Q: Three edges of a right triangular prism are defined by the vectors à= [1, 3, 2], b=[2, 2, 4), and = ...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: First we draw a graph then find volume.  Interesting point are 0 and 1 then using limit 0 to 1 . 

Q: Question 3: Suppose that H = xy + V3x2 + 4y?, and at t = 0 (initiation) we have r = 1, y = 1, H = 6,...

A: Let's find. 

Q: 14. Evaluate the following limits. (3-x+x2, 5x+1Y e) lim 2x y-0+ 5x-7 lim 2 f) X0o ( 3x2 x sin x lim...

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Q: 3. The sides of a triangle are given as 3x, x+1 and 3x-1. If the perimeter is 56 ft, find the area. ...

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Q: Question 2: Compute the derivative of y = arcsin(cos(arctan(r))).

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Q: ve f (cot x + tan x) dx then evaluate the an

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Q: For the vector-valued function r, carry out the following steps. a. Evaluate lim r(t) and lim r(t), ...

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Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its ...

A: Solution: Consider x=1+t y=2+13t Tx(2,3)=4,    Ty(2,3)=3

Q: 3. Given r(t) et sin t i + e' cos tj + v2e'k, a) find the arc length function for the curve measured...

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Q: 4. y = sin(cos 3x) – sin x cos 3x

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Q: 6 If a particle's position is given by r (t) =<t,22 COst, sint7 find the velocit acceleration and sp...

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a =...

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Q: Solve ſ cot3 4x csc² 4x dx then evaluate the answer at x=22, C=26

A: ∫cot34x csc24x dx

Q: A mountain climber wants to climb up a mountain that is 1 000 meters high. In the first hour, he cli...

A: A mountain climber wants to climb up a mountain that is 1 000 meters high. In the first hour, he cli...

Q: Given Cost and Price (demand) functions C(q) = 110q + 40000 and p(q) = -2.5q + 950, what profit can ...

A: NOTE: Refresh your page if you can't see any equations. . the cost function is  the demand function...

Q: Find the area of the shaded region. y y= v x 1 1, 1) X= 27 1 y = 10 15 20 25 2. 4.

A: Given query is to find the area of the shaded region.

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a. ...

A: h(x)=fgx and px=gfx

Q: 1. 4x° sec .3 x dx cos Va dx Væ csc Va x2 -dr 2.

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Q: How much work is done lifting a 10 pound object from the ground to the top of a 30 foot building if ...

A: Here, elementary work is: dw=(2.5y+10)dy

Q: (2x -y+2)dy + (x-2y +4)dx =D0

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Q: A triangle having an area of 22.62 cm2 is inscribed in a circle whose radius is 6 cm. If one of the ...

A: Given query is to find perimeter of the triangle.

Q: A discrete random variable X has the following probability distribution: 3 4. 1 2 P(X) y 9 1. Find y...

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Q: y sec t+sec t tan t + (2y+tan t) dt dy xy - (x+2y)2 dx 3y(x' -1)+(x' +8y- 3x) dy -0: y(0)=1 dx

A: Topic:-  differential equations  Note:- as per our guideline if more than one question uploaded than...

Q: Consider the given function and the given interval. f(x) = (x - 7)2, [6, 9] (a) Find the average val...

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Q: f(x, y) = 2x- xy + y, find (a.)and (b.) at (Xo, yo) didirectly from the definition. dx dy

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Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest form.

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Q: Using IMPLICIT DIFFERENTIATION, find y'. 2ху + 3y y = 4x' – 5x'y Ах'у? + Вху + Сху - 24y? y'= Dx°y² ...

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Q: e3x (1 – 2e3x)2

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Q: 5. Select the trigonometric identities and algebraic procedures used to verify the problem below. Se...

A: In this question we have to prove the expression using the trigonometry identities and we have to se...

Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the...

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Q: If z = x? + y?; x = t sin t , y = 2t cos t dz then dt at t = is

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Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 5% of the drug...

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Q: Find the range of values of x for which y = x3 + 5x2- 8x + 1 is increasing.

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Q: Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + at

A: Given:To Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + atSince  we know that, number of independen...

Q: 21. Find y' using implicit differentiation. a) In (xy + x + y) = 2 b) In (sin xy) = xy

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Q: Question 19 * 19. Differentiate f (x) = 3 ln (2x –1)´ with respect to x . 12 S"(x)=- 2x-1 A S'(x)=: ...

A: Given :f(x)=3ln(2x-1)2

Q: 10. Prove that lim x2 = 4 using the epsilon-delta definition of a limit. %3D X-2

A: limx→2x2=4

Q: A man that is 6 feet tall walks towards a light that is 20 feet above the ground at a rate of 5 feet...

A: Given:      Height of man =6 feet     Height of light =20 feet     Rate of walk by man dxdt=5 ft/sec...

Q: 1. Complete the table below by identifying the effects on resistance and effects on current flow of ...

A: We have to find if the quantities mentioned are directly proportional or inversely proportional.

Q: Simplify the following trigonometric expression. cosx(secx- cosx)

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Q: Region R in xy-plane is bounded by the curve y = 9sin(x) and the x-axis, between the lines x = 0 and...

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Q: Identify all singular points and points of discontinuity of the given function. (Enter your answers ...

A: The given function is  f(x)=9-xif x≤9x-9if x&gt;9

Q: sec(/æ) tan(/x) dx

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Q: 16. If f(x) = 2x² + 3x + 5, f(c) = 20, and the interval is [0,5], use the Intermediate Value Theorem...

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer ...

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Q: 36) -24i + 32j

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