Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then find the open intervals analytically. (Select all that apply.) Increasing: (-∞, -1) -10-8-6-4-2 O(-1,0) 0(0,00) O none of these Decreasing: O(-∞, -1) 0 (-1,00) (0, 0) Onone of these X f(x) = 2 46 (x + 1)²

Q: find an equation of a plane passing through the given point and perpendicular to the given vector…

A:

Q: Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate…

A:

Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: The graph of y = f(x) is shown. Use the graph to answer the question. Is f continuous at x = -4?…

A: The graph of the function y = f(x). With the help of this graph, we have to show that, Is the…

Q: a) 2+ + = 1. H

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 3. 4. S 2t (1²+2) ³ 514 √15 +2 - dt =dt

A:

Q: Q1/ Solve the following differential Equations. 1- (1+x2)dy-xy dx = 0

A: To solve the differential equation.

Q: Find the double integral that will compute for the area of the region bounded by x = y² and x = 4.

A: The given curves are; x=y2 and x=4 So, the bounded region is as shown below.   As we know that;…

Q: cx²+1 ₂. F(x) = [²² - -H (t³ - t) dx

A: We have to find derivative

Q: Use L'Hopital's to determine the limit. lim 0 0 1 1-cos x I O sin x COS X as x approaches 0

A:

Q: Find the general solution of the differential equation y" − 6y' + 58y = 0. NOTE: Use c₁ and c₂ as…

A: This given differential equation is 2nd order homogeneous linear differential equation .

Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A: In this question we have to find the value of b and c.

Q: 2 √(√sinx + cosx)² dx

A:

Q: Let g(u) be a function such that f g(u) du = ln (1 + 8u²) + C. Evaluate fxg(x²) dx.

A: This question can be solved using the concept of integration by substitution and definite integrals.

Q: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

A: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

Q: Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ≈ T₁(x) when x lies in…

A:

Q: 4. At which points does the function f have absolute maximum or minimum, or local maximum or…

A: We have to find the absolute minimum, absolute maximum, local minimum, and local maximum.

Q: Hallar a de modo que h sea continua para todo ax²-x, x≤-1 ax - 5, x>-1 h(x) =m Envie sus comput X…

A:

Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A:

Q: Determine whether the limit exists. If it exists, find its value. lim x → 1+ f(x) 5 4 3 2 -1 Does…

A: Given, graph we need to calculate the value of limx→1+f(x) Here we need to calculate the value for…

Q: Use Gauss-Jordan elimination to solve the given system. 3x + 6y – 3z = −2 -2y + 3z = 1 6x + 6y + 3z…

A: Follow the procedure given below.

Q: he following represents the dor 4- x² - y² ? (C) y x Y X

A: We have to choose the correct option from the given options according to the given information

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A:

Q: Use the remainder theorem to evaluate the polynomial for the given values of x. g(x)=6x³-7x²-36x+42…

A:

Q: Utilice el teorema de Sandwich (emparedado) para demostrar que lim [x Envie sus computos a…

A:

Q: Evaluate 1) |x-2| dx

A: To find out the integration.

Q: Use integration by parts to solve for J x secx tanx dx.

A:

Q: Solve the following differential equations: a- cos (x+y) dx +(3y2 +2y +cos (x + y) dy=0 b- y = (x +…

A: Given a- cos (x+y) dx +(3y² +2y +cos (x + y) )dy =0 b-y'=(x+1)e-xy2

Q: 6. Find complementary function and particular integral of the following differential equation: (D- d…

A:

Q: Find the limit as x approaches 3 for x²-3x 2x²-5x-3

A:

Q: 2) S (x³ - 7) dx

A:

Q: Problem 8. [10 pts] For each of the following answer True or False. If it is false, explain it. (a)…

A:

Q: find a set of parametrix equations of the line through the point (5,6,2) parallel to vector v=

A: find a set of parametrix equations of the line through the point (5,6,2) parallel to vector…

Q: 1. Which of the following is the value of n so that a. 0 b. 1 tan tan"x cos³x dx = c. 2 d. 3 1 sin³x…

A:

Q: Q5/ find the Fourier expression of f(x). f(x)=x+x² for _π< x <π -

A: I have done solution step by step in detail....go through the solution

Q: Find the volume of the solid generated by revolving the region bounded by the curves y = sin x + 1…

A:

Q: 1. Solve the differential equation dy dx + 2 Y sin r 22

A:

Q: Find the solution to the initial value problem. dy = 2√√√√t, y(1) = 7 dt y(t) =

A:

Q: Find the average value of f(x) = -x+1 x3 Submit an exact answer using fractions and/or roots if…

A: The given function is;  f(x)=(-x+1)/x3 over the interval [-3,-1].

Q: (a) Give the linearization L(x) of f(x) at x = 2. (b) Use your answer from Part (a) to estimate the…

A: Solve the following

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y = 11e2x, y(0) = 1, y'(0) = 1 2x -7.x 7e…

A:

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y= 11e²x, y(0) = 1, y'(0) = 1 2x 7e -7.x…

A:

Q: A rectangular field is to have an area of 500 m². a. Write the perimeter, P, of the field as a…

A: The solution is given below

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

A:

Q: The figure to the right shows the area of regions bounded by the graph of f and the x-axis. Evaluate…

A:

Q: ind the area bounded by y = sinx - e*, the x-axis and the lines x = HT onfe 10 7 juo 44 KI4 x = ².…

A: This question is based on definite integral.

Q: The rate of growth of the population of a city is predicted to be the following, where p is the…

A: topic - differential equation

Q: At which octant will you find (-8, 13, -1/2)?

A:

Q: Find the tangential and normal components of the acceleration vector. r(t) = cos(t)i + sin(t)j + tk…

A:

Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

A: