Find an equation of the parabola that has a focus at (2, 17) and a vertex at (2, 9) y = Find an equation of its directrix: y =

Q: The derivative of the function y = tan-1 1+ csc-1 x, where x > 1 is: CSC y' = 0 y' = 1 %3D %| O the ...

A: y=tan-1x2-1+csc-1x   where x>1

Q: (2y² + 4x²y)dx + (4xy + 2x³)dy = 0

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Q: (w - 3x +3)dw + ( 3w + x + 9)dx=0

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: 2 a. Prove that if a, is a convergent series of nonnegative terms, then a, converges. 2 b. If we tak...

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Q: total revenue and total cost functions for the production and sale of x TVs are given as R(x) = 190...

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Q: Solve the problem. 2 tan x Use the trigonometric identity tan 2x to find D,tan 2x. 1- tan x

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Q: {vn – vn +1}

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Q: Evaluate the indefinite integral. (x2 – 6x + 9)dx , and • Identify what is the u=? and du=? Show the...

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Q: Consider the following. 2 + y- 16 (a) Find two explicit functions by solving the equation for y in t...

A: The objective is to solve the above questions. 

Q: A 4-vector has components V#= (1,3, 5, 2) in the coordinate Cartesian basis at some point p in space...

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Q: Evaluate the indefinite integral. S(4Vx- 6x³)dx , and • Identify what is the u=? and du=? Show the c...

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Q: Determine if the following sequence converges or diverges and find the limit if possible. Sin(n + 1)...

A: To find the solution

Q: 4. Зx? 3x+- 8(y + 1) = 0 y+1

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Q: Solve the problem. The concentration of a certain drug in the bloodstream x hr after being 3x admini...

A: Given problem:- The concentration of a certain drug in the bloodstream x hr after being administered...

Q: * = cos(x + y), when x = 0,y = = %3D dx

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Q: From a point of observation 135 meters from the base of a building, the angle of elevation to its to...

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Q: Zen Furniture received the sofa set that was bought at a wholesale price of PhP 11,000. The manager,...

A: Given: - Zen Furniture received the sofa set that was bought at a wholesale price of PhP 11,000. The...

Q: 10 12 13 14 f(x) 3 6. 5 26. The table above gives values of the continuous function f at selected va...

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Q: Determine whether the alternating series converges. Σ k + 1 7k + 1 k=1

A: ∑k=1∞(-1)k+1k+17k+1  Above Series is an alternating seriesApply Liebnitz Testlet   ak=k+17k+1      a...

Q: Find a vector field F such that curl F = 8 i – 7j + 4 k. [Hint: Try F = T × 7 for some vector V ) °F...

A: Yes, there is a method to directly approach the answer with out just cross checking the options.

Q: 3. Let r be a root of x3 - 5x +7 = 0. In Q[r] express - 1- 7r + 2r2 a) 1+r + r2 | as a quadratic pol...

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Q: onsider the function f (x) = e". a. Show a derivation of the Maclaurin series expansion of f (x) = e...

A: Given problem:- Show a derivation of the Maclaurin series expansion of f(x) = ex

Q: Find the first And 2nd derivative  F(x)= e^x sin4x

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Q: Given the taylor series at 0 for 1/(1-x2) has an an of x2n: Find the Interval of convergence of thi...

A: use the ratio test for interval of convergence of series .

Q: If z1 = -4 + j5, z2 = -3 - j2, and Z3 = 2 - j3, what is the simplified form of z – 2 + z ? %3D

A: Solution is given below:

Q: SVa Inx dx

A: ∫xlnx dxBy using integration by parts=lnx∫x dx - ∫ddxlnx∫x dx

Q: ind the derivative of the 1. y x cos x

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving...

A: Topic = Volume

Q: Evaluate the indefinite integral. S csc² 3x v4cot3x – 5dx ,and • Identify what is the u=? and du=? S...

A: Given:   Intergral is given

Q: If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, c2...

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Q: a²x, a?x? Po(x) = 1, p1(x) = 1 + ax, p2(x) = 1 + ax + 2! P3 (x) = 1 + ax + 2! %3D 3! a?? ax? p4 (x) ...

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Q: A company plans to manufacture a rectangular container with a square base, an open top, and a volume...

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Q: Apply Descartes' Rule of Signs. Determine the number of possible positive and negative real zeros fo...

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Q: Use long division to divide. Express any numbers as integers simplified fractions. or x+2

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Q: The concentration of a certain drug in the bloodstream x hr after being administered is approximatel...

A: Find your answer below 

Q: The radius of a circular oil spill after t minutes is given by r(t) = V4t. Find the instantaneous ra...

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Q: 4.Prove that the circumference of a circle with radius =2a is 4na by using the formula for the lengt...

A: Circference of circle is 2πr

Q: Consider the given function m (x) = - 3x - 15x +148. (a) Write the function in vertex form. (b) Iden...

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Q: 2- for y = log10 e" is: dx 1 1 a) *In 10 b)- *In 10 10 In e

A: Option (a) is correct. For detail....go through the solution  

Q: The derivative of the function y = xe(5+sec(2x)) is: y' [1+ 2x sec(2x) tan(2x)Je(*ece(2x) y' [1+x se...

A: We will find the derivative of the given function. 

Q: Arctan(x) ln(x^3 + 2) find the derivative    F(x) = arccos(3x^2) find the derivative

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Q: sec?(0) tan (0) de

A: Follow the procedure given below.

Q: The hypotenuse of a right triangle is 100 centimeters. An acute angle is 64.8 degrees. Determine the...

A: For adjacent side we use cos function to get side length  Cos(64.8) = adjacent side /hypotenuse Adja...

Q: Find the equation of the Line tangent of xy-y^3 =-6 at the point (2,2) Find the equation of the lin...

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Q: In triangle ABC, the measures of angles A and C are 47 degrees and 58 degrees, respectively. What is...

A: We can find the answer as below

Q: Use sigma notation to write the Taylor series about x = 7 for the function. 1 x + 5

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Q: Give a Taylor series expansion of f(x)=ln(x) and use its first 5 terms to approximate ln(7). Also, d...

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Q: Find the indicated derivative by finding the first few derivatives and recognizing the pattern that ...

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Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three...

A: Given:   Perimeter of rectangle = 200