On what interval(s) is the function g(x) = −x¹ − 2x² increasing and concave down? To advance in the circuit, select the x-value from the choices below that is on the answer interval(s).

Q: # Find a and b so that the function e-ax, x ≤ 0 f(x) = {₁² + 5x + b,x>0 is differentiable…

A: To find out the sum a+b.

Q: Cable AB passes over the small ideal pulley C without a change in its tension. What length of cable…

A: Solution

Q: + 192t +9. Find its maximum height. - 16t²+ The height (feet) of an object launched in the air t…

A: Second Derivative Test: If x=a is a critical point of the function f(x) and f''(a)<0 then f(x)…

Q: y' x y+x²y ) y (0) = -2

A:

Q: Differentiate the function. Hint: although you can use the quotient rule, you don't need to use it…

A:

Q: use Green's Theorem to evaluate the f(x² - 3y) dx + 3xdy where C is a circle x² + y² = 4 and…

A:

Q: ....... ds. By the same way find the power series of coshix. ..

A: ex = 1+x+x22!+x33!+x44!+...

Q: Q5) Solve the following using Trapezoidal rule with n6 f(x) = f*xinx. dx

A:

Q: Find the roots of the differential equation: y" +4y' +6y= 0

A: See the details solution in below

Q: # 000000 JUUUO Find the area of the region enclosed by the graphs of y = √9-x² √9-x² and -0.1x + 1.…

A:

Q: Q.1B) Prove that: Iff, Cos) dxdy - = sin (1) where R the region bounded by x + y = 1, x = 0, y = 0

A: We use the change of variable to prive the given equality

Q: Use the p-test to decide if the following integrals converge or diverge. If it converges finds its…

A: Topic:- application of integration

Q: Solve the given differential equations: dy 1. 2+y² dx

A:

Q: 3x²y dx − (x³ + y³)dy = 0,_y(1) = −2 -2

A: See the details solution in below

Q: y = In O it Vsin 0 cos 0 1+2 ln 0 4 0(21n0) In (YS [cot 0-tan 0 another answer 1 1 [cot…

A: Given

Q: i) The terminal arm of θ contains the point P(x,y) where P is on the unit circle. If sinθ = 1/2 and…

A:

Q: Use the revenue and cost functions below, to answer parts (A), (B), and (C). R(x) = 75x - 3x² 1≤x≤20…

A:

Q: Find a particular solution yp of the following equation using the Method of Undetermined…

A: answer is in next step.

Q: = f(x, y) = { x² + y² 0 Determine whether the function z = (why or why not) for (x, y) = (0,0) for…

A:

Q: D-the result of the following limit is 1² lim x-0 In (sec x)

A: Let's evaluate given limit.

Q: Find the first four nonzero terms of the Maclaurin expansion of the given function by using the…

A: Given problem:- Find the first four nonzero terms of the Maclaurin expansion of the given function…

Q: For the differential equation = (1+y)(1y) there are 2 equilibrium solutions. The first equilibrium…

A:

Q: 小 7) In x √x - dx

A: I have stated the used formula in the solution

Q: For the following, problems, find the volume generated when the region between the two curve is…

A:

Q: Solve the intial Value problem (IVP) 2t ý -by-Zy - 6e

A: Note: Since, the student has mentioned "initial value problem (IVP)" but he has not given the…

Q: Evaluate f 9-4x² dx x²

A:

Q: 6. 7. 8. Determine the derivative of the curve with equation y = 4²x a) 4²x ln4 b) 42x In2 c) 4* In2…

A: We have to find out derivative

Q: ) Calculate the indefinite integral using Partial Fraction Decomposition. X Sax- dx (x-2)(x + 1)2²…

A:

Q: Q1. Find the half-range sine and cosine Fourier series for f(t) = t in each case. 0 < t < 2. Draw…

A:

Q: Find the roots of the differential equation: y"+4y' + 6y = 0

A:

Q: Given x = t, y = 1/t, find the curvature at t = 2. 16 17√/17 O 16 17 O 16/17 17 16 √17

A:

Q: Q4) A) Determine the following 1)√√²/1dx 1)ƒ cosxdx 2) S dx 2+3sinx

A:

Q: Find product solutions of J² 2x² 4 Ju sy

A: Given

Q: 3- The result of dot product between A=(2, 3, 1) and B=(-1, 5, 1) is: a) A. B=14 b) A. B=-34 c)…

A: 3.

Q: (x2 + y2 + z²)5 = -23. Calculate əz/ax using implicit differentiation. O əzləx = x/z O əzləx = 2x/z…

A:

Q: (x) + Find the general solution аху- х+у о у-xlncxЈtc 2 x² Ў= х²-хутуг у-х- х Нихте з y = x + y + y…

A:

Q: y' || = X y+x²y y(0) = −2

A:

Q: 3a. Find the coordinates of the relative maximum and relative minimum of the following equation:…

A: solution:-f(x)=x-32e2xf'(x)=x-32ddxe2x+e2xddxx-32…

Q: 1. y' = x y+x²y

A:

Q: help

A: We will solve the problem.

Q: Evaluate the indefinite integral. Use C as the constant of integration. -3+ 6 cos 0 do 02 sin 0

A: To Find: ∫-3+6cosθθ-2sinθdθ

Q: The coefficient of (x - 1)5 in the Taylor series for a In x centered at x=1 is Hint: you can't do…

A: This question can be solved using the concept of expansion of Taylor series centered at x=c.

Q: Carlos invested $70,000.00 for 5 years at 8.50% compounded monthly. Calculate the future value of…

A:

Q: Question 1. Tangent and Velocity Problems Exercise 2.1, Problem 3. I need answer part b and c only…

A: Slope of a secant line is =( f(x2)-f(x1))/(x2-x1) we have to find the the slope of the tangent line…

Q: y = √√x(x² + x³) Calculate the derivative using the product rule. f(x) = and g(x) = which means that…

A: Topic:- application of derivatives

Q: stion4: Find the general solution for the following second-order ODE as a D-operator form: (D²-3)y=…

A:

Q: Evaluate √16-x² dx

A: ∫16-x2dx

Q: B) Find derivative of the following function d -6tanx dx

A:

Q: Consider the function f(x) = vx and the point (4,2) on the graph f. (a) Graph fand the secant lines…

A: You must have idea about the graphs and secant of any function to understand it better.

Q: y = ln (sec (ln 0))

A: