I-4, I<2 1-3, Given the function, f(x) : ,evaluate: lim,2 S(z) I> 2 %3D undefined b. 2 x C-2 d. does not exist

Q: Let us try to find where a function is increasing or decreasing given the  following.  1. f(x) = x3−...

A: To find the function is increasing or decreasing in the given interval.

Q: Write the improper integral as a sum of limits of proper integrals. Do not attempt to evaluate the i...

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Q: 2.5.042. Find the derivative of the function. s(t) t2 + 8t-5 %3!

A: Topic:- derivatives

Q: Write an equation for a rational function with: Vertical asymptotes at x = -6 and x = -2 x-intercept...

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Q: d²y 2. Find the second derivative of x? – 3xy? + y3 = 15 dx?

A: The given equation is; x2-3xy2+y3=15.

Q: 3. Find the derivative of the function. y = In(t2) – arctan(-

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Q: Problem 6 Consider a market that sells individual marbles. Qs=2+2*P Qd=11-P   A $3 tax on consumers ...

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Q: How to convert a cosecant theta to tangent data

A: sinθ = 1cosecθ  and cosecθ = 1sinθ

Q: Find the slope of the tangent line to the graph x/y=cost at the point (-pi,pi

A: Find your answer below 

Q: A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second...

A: We have to find quantity of each solution in liters.  

Q: 3. Let A C B. Which of the following statements is/are true? a. AnB CA b. AUB CB c. A\B is a singlet...

A: Topic  -   set and subset 

Q: 2. S(Vw +2)Vwdx

A: Topic:- integration

Q: Find (f^-1)'(a).  f(x)=4x^3+3x^2+8x+9,    a=9 (f^-1)'(a)=

A: Topic:- function and derivatives

Q: Partial Fractions w/ long division first 4.S x4- 2x3 + x2 + 2x – 1 dx x2 – 2x + 1 long division b/c ...

A: Integration

Q: Find the area under the curve Y 0.5x- 1.5 from x = 9 to x = t and evaluate it for t 10 , t curve for...

A: The curve y=0.5x-1.5

Q: x² – 19x + 34 - lim %3D x → 2 x – 2 - (Use calculator and write your final answer in the given box)

A:

Q: 2 COS os²(5æ) sin*(5æ)dr 4

A: This is a problem of integration. Based on the general formula of integration we will solve the prob...

Q: Express the integrand as a sum of partial fractions and then evaluate the integra 4x2 xp. 4 1

A: We have to find out 

Q: Select all that apply. Solve the following equation; domain 0o sx< 360 3 cot x = V3 120 300 60 240

A: Given query is to find the value of x.

Q: What are the coordinates of the foci in the equation - 4 *5=1? A F1(1,0); F2(-1,0) B F1(3,0); F2(-3,...

A: The given equation is: x25+y24=1                               (1) Equation (1) is compared with the...

Q: ge false. If true, you must explain why. If false, you must give a concrete counterexample (with num...

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Q: asider the function f(x) = e" on [0, 2), %3D

A:

Q: 1)) The point H(2, 6) is reflected over the x-axis. What are the coordinates of the resulting point,...

A: The given point H(2, 6)

Q: A company that manufactures pet toys calculates that its costs and revenue can be modeled by the equ...

A:

Q: 4. Perform the following operations involving complex numbers: a. (2 + 7i) + (3 – 4i) b. (9 + 5i) - ...

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Q: dy for: (x + y) = x – y + 8 da 1. Find 2. If a ball is thrown vertically upward with a velocity of 8...

A:

Q: You go to the doctor and he gives you 17 milligrams of radioactive dye. After 20 minutes, 6.5 millig...

A: Given query is to find the atime taken to reah the radioactive to 2 mg.

Q: Find average rate-2x^2+3x+5. X=-3 to x =9

A:

Q: What is the y-intercept of the function y = cot I? || ㅇ(T,0) O (0,0) O (1,0) (0, 1) O It does not ha...

A: The function is given as y=cot(x) The objective is to find the y-intercept.

Q: Prove the following identities. sin 3x v 3 sin x - 4 sin cSC X - 2 sin 3 sec x - 4 sin

A: Given query is to prove the identity.

Q: 15 1야 -5 10 /15 -20 -15 -10 20 -5 -10 -150 -20 lim f(x) x--5 -5 lim f(x) 10

A: Topic = limits

Q: Let sk En(0.1)" n=1 Find s9.

A: Given that sk=∑ n=1k n (0.1)n -(i) Our Aim is to find s9=?

Q: The deviation of each observation (y) from the mean of the response variable is negative for every p...

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Q: Find the amplitude of the graph of gy=-7cos O 18% 7. 77 O-7 07

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Q: For the next six questions, consider the differential equation: y" + 4y = g(x), g(x) # 0

A: Let's find. 

Q: 6. For the function a 10th degree polynomial. a) Up to how many x intercepts can there be? b) Up to ...

A:

Q: -3 -dx J2 (x²–1)² 3.

A: The given integral,        ∫23xx2-12dx

Q: 2) Determine dz/dx and dz/dy for z* – y? + x² = 6x²y³z? %3D

A:

Q: Find the centroid of the region shown, not by integration, but by locating the centroids of the rect...

A: This question can be solved by finding the area and centroid of rectangular part and right angled tr...

Q: -n ) Σe n=1 1 d) Σ+ 3 п n=1 8

A: C) Given that ∑n=1∞e-n By the integral test, ∫1∞e-x dx=limt→∞∫1te-x dx                              ...

Q: 4. The height h (in metres) of a certain section of a roller coaster is modelled by the equation h(x...

A:

Q: Consider Line 2, which has the equation: y = 9 Give the equation of the line parallel to Line 2 whic...

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Q: How would this parametric function of x=2cost +cos2t; y=2sint-sin2t be solved

A: In order to solve a parametric equation, firstly differentiate x and y with respect to t and then di...

Q: ® (3x°y-x)dy +(2xy=y) dx =0

A:

Q: 2. Let r+1 I <-1 f(x) = { 2– Vr² + 7 [3r – 4] r 2-1 Determine if lim f(x) exists. r+-1

A: Find left and right hand limit and using L hospital rule. (Indeterminate form)  Since left and right...

Q: Use Simpson's Rule and n = 4 to find an approximation for the definite integral Vr +1 dr %3!

A: Here, the given function is: f(x)=x3+1 Now, the Simpson's rule formula to approximate the definite i...

Q: Does dy/dx= y-2y/x for ln(2xy)=x

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Q: Water is poured into a conical container at the rate of 10cm³/sec. The cone points directly down, an...

A:

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (E...

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Q: (MULTIPLE CHOICE) Which of the following equations is(are) variable separable? dN + N = dt N dr (A) ...

A: