What is lim1 f (x) ? X

Q: 7 6. 4 1 -4 -3 -2 -1 1 2 3 4 5 6. 8.

A: Graph of the function is given, we have to find the function value and limits

Q: |sin² xcos“ xdx

A: The given integral is: I=∫sin2(x) cos4(x) dx

Q: Sx (x +1) /3 dx

A:

Q: Find the linearization at x = a. f(x) = 9x', a = 1 (Use symbolic notation and fractions where needed...

A: Given that: f(x)=9x3 , a=1

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

A:

Q: sin xcos* xdx х cos

A:

Q: Consider the series. 00 9n Σ 3/5 n=1 (n2 + 1) 9x Let f(x) = Find f' (x). 3/5 (x² + 1) (Express numbe...

A:

Q: Use substitution to convert the integral to an integral of rational functions. Then use partial frac...

A:

Q: If the length of a certain rectangle were increased by 2 feet and the width decreased by 1 foot, the...

A: Let's find. 

Q: 1 2 2 y y 1 1 Is your estimate an underestimate or an overestimate? O underestimate O overestimate (...

A: To solve the following problem

Q: Evaluate the indefinite integral. | cos*(3x) dx

A:

Q: use implicit differentiation to find

A:

Q: 3. x/1+ x6

A: here you have mentioned to solve this integral by Integration By Parts.  

Q: Rewrite the equation as a quadratic in cos x, and then factor. 36-36 cos^2(x)=36-18 cos(x)

A: factors are:-

Q: Given 8:[E!,i]> SR be a fanction H ベto if x-0 (5 cefined by gGs) = 2 Cosl Deter mine whether the fel...

A: This question is related to bounded variation . solve in step 2.

Q: Let f : R → R be a function such that |f (x) – f(y)| 0. Write the e-d definition of continuous func...

A:

Q: dx (2² + 4)3/2

A:

Q: Consider the differential equation = (3 - y)cos x. Let y = f(x) be the particular solution to the di...

A: The given differential equation is: dydx=3-ycos(x)

Q: Differential Equation : Linear Differential Equation of Order c) #1 only (U can answer others thanks

A: Topic:- differential equations

Q: y = sin(Ax + B)

A: Given: y=sin(Ax+B)

Q: Use substitution to convert the integral to an integral of rational functions. Then use partial frac...

A:

Q: ASK YOUR TEACHER PRA -x²/2 from x = 1 to x = 1.4. (Ro 27

A: Use Simpsons rule with four subdivisions to approximate the area (in units^2) under the probability ...

Q: 4 z = lim f(x) y 1 2 3 4 2.

A:

Q: Solve the initial-value problem starting from y0 = 10. dy dt = −6y y =     At what positive time doe...

A:

Q: 3. (2D3 - D² + 1)(In cos x - 2 tan x)

A:

Q: Evaluate the integral. Show all your work. 3 sin? xcos' xdx

A: Given that: ∫sin2x.cos3xdx

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) f(x...

A:

Q: A water tank is in the shape of an inverted cone (the vertex of the cone is the bottom of the tank)....

A: Set up the definite integral.

Q: You are designing a poster which has a border around the printed portion. The border is 2 inches wid...

A:

Q: (9D? – 6D + 1)y = 0

A:

Q: You are designing a poster which has a border around th printed portion. The border is 2 inches wide...

A:

Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) You answered corr...

A: The given series,     ∑k=1∞4k+27k-1

Q: Let f(x, y)= Jxy +x+xcos y. (a) Find fy - ở² f_ (b) Find дхду

A: f(x,y)=xy+x+x cos y

Q: Evaluate using Integration by parts. ∫e4x cos(2x)dx

A:

Q: find the work done by F over the curve in the direction of increasing t. F = z i + x j + y k r(t) = ...

A:

Q: Iff (0) = g(0) = 0 and f" and g" are continuous, show that f(x)g"(x) dx = f(a)g'(a) – f'(a)g(a) + | ...

A:

Q: 6. The limit of that constant is that constant. 7. The limit of a constantc times a function is equa...

A: Since we are given with the multiple number of questions and our guideline is solve the problem only...

Q: Use the rules of differentiation to find the derivative of the fur f(t) = -2t2 - 4t - 5 f '(t) =

A:

Q: 2) Find the volume of the solid obtained by rotating region bounded by the given curves about the sp...

A:

Q: The transformation of a function f(x) into a function g(x) is given by g(æ) = Af(Bx + H) + %3D where...

A: We are asked to find the transformation.

Q: In 2004, an art collector paid $84,275,000 for a particular painting. The same painting sold for $27...

A: let the equation be V(t)=V0ektwhere  V0 be the initial painting valuet be the timek be the rateV be ...

Q: Prove and derive how this hyperbolic function is formulated.

A:

Q: %3D 8. (D5 + 9D3)y = 0

A: "Student asked only for question number 8. So I am solving only question number 8." Ans (8). Given t...

Q: You are designing a poster which has a border around the printed portion. The border is 2 inches wid...

A: Given:  The border is 2 inches wide on the left and right sides, 3 inches wide on the top and bottom...

Q: 1. Sketch the graph of y=2-x. 2. If fx) =x(*+2)(z-3), use interval notation to give all values of x ...

A:

Q: A o 5. Find the complementary angle of 26- Ao is 4 The complementary angle of 26= (Simplify your ans...

A:

Q: Let g(x) = x². Which of the following outputs of g is not guaranteed by the Intermediate Value Theor...

A:

Q: Question #2 Determine the value of so that the average rate of change of the parabola y = -2x + bx +...

A:

Q: 8) For this problem, consider the function f(x) = e". (a) Find P3(x), the third-degree Maclaurin pol...

A: Find your answer below 

Q: The function f (x) = x sin is continuous on the interval (-1,1). O True O False

A: