following functions and determine the type of its discontinuity (Removable, Jump, Infinite) f(x) = 2x^2 - 7x - 15 / x^2 - x + -20

Q: de 2. eve -9

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Q: Compute the following limit. 2х-3 as x approaches o -3 04 01 03 02

A: topic - limits

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Q: p) Find f o g oh with its domain of definition: f(x) = |x – 4|, g(x) = 1 ,h(x) = Vx %3D %3D X - 1 c)...

A: We have to find the domain of the function in first problem.  We also have to find the function g(t)...

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Q: Consider the series given below: Σ 3n n=1 a) Find the values of x for which the series converg

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Q: pxp XA

A: Explanation of the answer is as follows

Q: csc h5B- coth 5B

A: ∫cschax dx =-1acoth (ax) +C ∫csch (x) .coth (x) dx = -csch(x) +C

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Q: Compute the following limit. 1-e3* as x approaches 0 3x O-7/3 O-5/3 O-2/3 O 2/3

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Q: 1 Σ 16п2 — 8n — 3 n=1 n=]

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Q: - A= 1 Then adjA IS 4 4 1 O -1 4

A: Topic:-  matrix algebra

Q: 1 h(s) = (s – 10)2 Find the largest value of A such that the function h(s) is increasing for all s i...

A: Given:    h(s) = 1/ ( s - 10 )2   Increasing interval : ( - Inf , A )

Q: the supply and demand functions of a given product QS is x2 + 14x + 22  and QD = -x2 - 10x = 150, de...

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Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the ...

A: See the details solution in below

Q: 3 115 Find the average value of the function f(x)=sin“ xcos°x over the interval -7,7|.

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Q: Solve the given initial-value problem. y" – 16y = 6, y(0) = 1, y'(0) = 0 y(x) =

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Q: The cube root of 64a+/27b³ (There is a divide sign also.) 3164a+/27b3 (All is under the radial and i...

A: We need to simplify 64a427b33. Now,                 64a427b33=64a4327b33=4aa327b33=4aa33b

Q: Given P = R³ S°T0.5 + R0.5 S sin(2T) what is P as

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Q: ve the given boundary-value problem. (If an answer does not exist, enter DNE.) y" + y = 0, y'(0) = 0...

A: Topic:- differential equations

Q: volumes of these sol 4 m 4 m 4 m 4 m

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: Use the graph of the function f shown to the right to estimate the indicated function values and lim...

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Q: What is the general form of an ellipse with foci at (0, ±2), and vertices at (0, ±4)7

A: Given query is to find the equation of the ellipse.

Q: If g(x)=5*, then g'(2) is:

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Q: Given the demand function D(p) = 125 – 3p, Find the Elasticity of Demand at a price of $4

A: Topic:- demand and it's elasticity

Q: S(secx – tanx)²dx

A: I have stated the used formulas in the solution

Q: f (2) 2. Find if Ar) -(1-x²)(* -1) =

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Q: Identify the point (xo, yo) on the line ax + by = c that is closest to the origin. -(유) (хо, уo) %3D...

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Q: Find the area of the surface obtained by rotating the curve y = sin(4x) about the a- axis from x 0 t...

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 dx x²+9

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Q: Using the Newton method evaluate 2x* + 24x3 + 61x2 – 16x + 1 = 0. Let the initial guess X, %3! 0.9

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Q: Find each limit. Use - 00 or oo when appropriate. 4x -8 f(x) = - (x-8)4 (A) lim f(x) (B) lim f(x) (C...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: Determine the derivative of the following functions in simplified form (NO negative exponents), wher...

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Q: Find the maximum value of f(x, y) = 2x? y + 5 on the unit circle. (Give an exact answer. Use symboli...

A: Given fx,y=2x2y3+5 on unit circle. We have to find maximum value.  

Q: Find the Taylor series for f(x) =-- centered at a = 2. (-1)"+1 (A) Σ (n + 1) (x – 2)" (B) 2 (-1)"+1,...

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Q: H.W. 2 Let 1=-2 + 1li, z2 = 2- i. Showing the details of your work, find, in the formx + iy: %3D 1. ...

A: Note:- according to the company policy we can attempt ?️ only three subpart of a question so please ...

Q: Problem 7. (1 point) Let f(x) Then (fo g)(2) =, (fo g)(x) =|| = 2x + 4 and g(x) = 5x2 + 5x.

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Q: 1. Sx2 In(x + 1) dx

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: The function P(x) = - 0.25a² + 150x – 4000 gives the profit when a units of a certain product are so...

A: Given:      P(x) = - 0.25 x2 + 150x - 4000

Q: Prove that C(n + 4, r + 1) = C(n + 3, r + 1) + C(n + 3, r). Hint: expand each Combination and use co...

A: Explanation of the answer is as follows

Q: 1 dx - 16 4 xvx2 ||

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Q: Sketch the curve r 0 in polar coordinates for : i. (0 <= 0) (-0 < < 0) ii.

A: Given: - The curve r=θ in polar coordinates for: To sketch: - (1)θ&lt;=0 (2) -∞&lt;θ&lt;∞

Q: Counting techniques (Using permuations or Combinations): How many outcomes are possible if you roll...

A: Given query is to find the number of possible outcomes when we roll 4 dice.

Q: A= 4 13

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Q: L L [cosh²(t)]

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Q: Problem 9. Let f(x) = x5 – 10xª + 33x³ – 42x2 + 32x – 32 a. Show how to apply the Rational Zeroes Th...

A: Let's find. 

Q: Consider the function f(r) 7x + 4z . For this function there are four important open intervals: (-00...

A: critical numbers are those such that value of the derivative of the function is zero.

Q: f(x+h) = x^2+2xh+h^2-3x-3h compute and simplify. f(x+h)-f(x) =

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