Question 11 (CLO-2) Evaluate lim f(x) where (3x-4 if x<-2 f(x)=10 if -22 02 O does not exist O 10

Q: e) Evaluate the following limit at infinity and show your work. 3x3-4x a) lim x→∞ x²-2x³

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Q: Find a formula a, for the n-th term of the following sequence. Assume the series begins at n = 1. 1…

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

Q: Consider the series. 2 3 4 10 (¹) + ( )² + ( )² + ( )* +-- ∞ This series can be written as a…

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Q: Find the gradient of f(x,y,z) = (x² + y² + z²) 23 26 Vf|(-2,2,-1) = i+ 23 54 |j+ 54 27 (Type…

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Q: Explain how you would graph the following set of parametric equations by plotting points and…

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Q: 16. Evaluate cos(sin¯¹-1) O 0 O ㅠ O 1 O -1

A: Value of Sin(-π/2) is -1

Q: s dx 3x²+2x+5

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Q: Consider the functions z= - ex In y, x= In (u cos v), and y = u sin v. dz dz (a) Express and as…

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Q: 1. Evaluate the given integral Q. Q a = 1₁² 1₁² ² (x - y) dx dy 2. Sketch the region of integration…

A: double integral and changing the limit

Q: his question is designed to be answered without a calculator. se the three functions shown. 1. f(x)…

A: Topic:- function

Q: Consider the following series, (x - 2)" Σ n5 + 1 n=0 (a) Find the radius of convergence, R , of the…

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Q: Question B2 Consider the vectors, 3 p= and q= 2 (i) Compute 3p - 5q. (ii) Find the length of p, that…

A: A detailed solution is given below

Q: Evaluate the following integrals: (show solution) a x² +2 b.) 1 x+1 x+√x c) f(sec x d.) e 4x 4x+1 x…

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Q: 9. Find the family of the curve whose slope at any point is V√x + √x and also the member which…

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Q: Additional Activities (-2.39) a 4 88/88 20 10 10 -20 30 40 1 (2.7 Solve the following problems. A.…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 3 ex cos (yz),…

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Q: dw ow For the functions w = xy + yz + xz, x= u + 3v, y = u- 3v, and z = uv, express and using the…

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Q: Find the Taylor series for about f(x) = x³ + x² + x + 1 a = 1

A: As we know the Taylor series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+.... Where center at x=a.…

Q: tan2x-2sinx lim x→0 x3 a. 0 b. infinity c. 3 d. DNE Find the slope of the curve y = 64( 4 + x) 1/2…

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Q: Suppose that sin(θ)=4/6. What cos(θ)=______. (round to 3 decimal places)

A: sin(θ)=4/6

Q: b) √ ²x³-x+4 dx x3 7T 4 (sin X

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Q: f) y = sin-¹ (x² - 1)

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Q: 9. f(x) = xe−2*, a = 0

A: According to bartleby guidelines I can only answer the first question of the two given.

Q: ou make an investment of $4,500 and the investment loses a continuous 5% each year, what will the…

A: Given query is to find the value of investment after 15 years.

Q: Find the interval of convergence of the series xn Σ n8" n=1

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 2 ex cos (yz),…

A: Topic:- application of derivatives

Q: Find a power series representation for the function and determine the interval of convergence. (Give…

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Q: Find a formula bn for the n-th term of the following sequence. Assume the series begins at n = 1.…

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Q: 2.) given this trigher ODE, use the reduction of HODE via of systems ODE and find the general non…

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Q: Andrew is an ecologist investigating a pond. He notices that an algal bloom is growing in the pond.…

A: To find out the rate of area.

Q: 8.1 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION.

A: To find out the family of curves whose slope is given.

Q: Find the binommal coefficient (4)

A: Topic = Algebra

Q: Find the point (if it exists) at which the following plane and line intersect. -2x-10y-10z = -19 and…

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Q: 17. What is the amplitude of the graph y = -4sin (x - 2)? The amplitude is units. 4 02 2π K|2

A: Given problem :- 17. What is the amplitude of the graph y = -4sin (x - 2)?

Q: M8 n=1 3 n 4 n* + 4

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Q: Find binomial coefficient (3)

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Q: Find the binomion coefpicient (7)

A: follw the procedure given below.

Q: 10.) Solve. Write the exact solution in terms of logarithms. el-3x = 4

A: This question can be solved using the concept of natural logarithm.

Q: 10. Find the equation of the curve whose slope is the inverse of the sum of the square root of five…

A: Given ,  We have to find the equation of the curve whose slope is the inverse of the sum of the…

Q: O f(3x² + sec² 2x) dx

A: Given query is to find integral.

Q: Suppose you measure t asure the following (x, y) values: (1, 1.5) (2, 1.8) (5, 4.3) (7, 6.5) + You…

A: The given points are:  1, 1.52, 1.85, 4.37, 6.5 Let the line of best fit is: y=ax+b Using the points…

Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A: Let us assume it takes n half-lifes to reach 10mg

Q: Additional Activities (-2.39) (14) 4 20 10 885 40 50 1 (2.7 3 B. Locate and classify the critical…

A: Given

Q: In this question, you will solve an integral problem using the method of substitution. (a) Make the…

A: A detailed solution is given below

Q: {CLO-3) Find the area between the curve y=-2x² +6 and the line y=-2x+2

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Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x² + y² + 1 a. (4,1) b. (2,4)…

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Q: Let R be the region inside the polar graph labeled "Inside" and outside the polar graph labeled…

A: We will find the region R covered from inside by r=8 and outside with curve r=-8+8sinθ.

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

A: As per guideline we can answer only one question, Please repost other question.

Q: Find the center of the mass of a thin plate of constant density & covering the region bounded by the…

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Q: b. The area above the x-axis and below y = 4x - x²

A: Answer (b)  We have to write the area above the x - axis and below y = 4x - x2 as an integral