critical points

Q: Consider the following functions. f(x) = 6 sin x g(x) = 6 cos 2x Esxst Sketch the region bounded by…

A: Given f(x)= 6 sin x g(x) = 6 cos(2x)  in the interval -π2≤x≤π6

Q: Use the properties of Fourier transform if f₁(t) = ē at ult) JF.T = S flt) ējwt dt ماز- Seat, ejust…

A:

Q: -u (w) = 3/w + πT (1) jw [{Br_mn]}x+(®on+m]x] } 2²2 ↑ 5

A:

Q: Compute the gradient of the following function and evaluate it at the given point P.…

A:

Q: Evaluate using integration by parts o a) (In 3x dx

A: As per the rules of the company we can only the first question and rest others can be reposted.

Q: Consider the first order differential equation a. y(-3) = -3.14. b. y(-0.5) = 1.7. or each of the…

A: Here, the given DE is: y'+tt2-4y=ett-3 Comparing it with y'+P(t)y=Q(t), P(t)=tt2-4 & Q(t)=ett-3

Q: How did he get the value (jw) ² x 10) = Uw)² x1w) = w2x/m) 1 inside the circle wa) A е (b-a) [ (@jwb…

A:

Q: For the next three 6²= 4r dr √1-4 1

A:

Q: Verify that the two planes are parallel. -x + 6y + 2z = 6 1 2t x + 3y + z = 7 Find the normal…

A:

Q: Use a power series to approximate the definite integral, I, to six decimal places. 0.1 60⁰ I I = 1 1…

A:

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent.…

A: We will apply Ratio-Test

Q: Given the lines 1₁ and 12; l₁ x = 1 + 3t, y = 26t, z = 7t - 3, 1₂: x=4=6-y=5—2 -8 3 5 (a) Show that…

A:

Q: Use matrices to solve the system of equations (if possible). Use Gaussian elimination with…

A: In this question we have to find the value of x, y and z using Gaussian Elimination with back…

Q: Consider the following differential equation to be solved by variation of parameters. 4y" - y = ex/2…

A:

Q: Determine the general solution of the given differential equation. -t y""+y" + y + y = et +9t NOTE:…

A:

Q: Find the general solution of the given higher-order differential equation. y"" - 9y" + 15y' + 25y =…

A:

Q: sinx(cosx)dx= A B C D esinx + C ecosx ( - sinx) + C - esinx + C None of the other answers are…

A: In this question, we want to compute the given integral.

Q: Calculate the iterated integral. 3 [² [² (6x²y - 3x) dy dx Show My Work (Optional) Submit Answer

A:

Q: Compute the gradient of the following function and evaluate it at the given point P.…

A: Solve the following

Q: A parametrization of curve describes the specific time and location of a particle moving along the…

A: To sketch the curves xt=t2-4, yt=t2 for -2≤t≤3 and xt=4t2-4, yt=t for -1≤t≤32 and evaluate their…

Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

A: A detailed solution is given below.

Q: Find the area of the parallelogram that has u = 2i - 3j + 2k and = 2j+ k as adjacent sides. NOTE:…

A:

Q: Consider the following function. f(x) = 1 |x - 51 (a) Find the critical numbers of f. (Enter your…

A: You must have idea how to find critical point of any function. By using those value you need to find…

Q: 5. S dovod ev

A: topic- indefinite integral

Q: Find the solution of the given initial value problem:

A:

Q: f(x) lim sin(5x) X I 0 -0.25 3 2 Estimate the limit numerically or state that the limit does not…

A: We have to find out limit

Q: tan x 3 sec x If f(x) ƒ'(x) = To two decimal places, ƒ' (1) = =

A:

Q: Find the radius of convergence, R, of the series. R = 00 Σ n = 1 I = 1 3 5 xn ..... (2n-1) Find the…

A:

Q: In the Midpoint Rule for triple integrals we use a triple Riemann sum to approximate a triple…

A:

Q: Find h' (1) for the function h(x) = f(x)f(x). h'(1) = f(1) = 5 and f'(1) = 1.

A:

Q: Solve the differential equation by variation of parameters. 4y"8y' + 8y = ex sec x y(x) =

A:

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 4 − x2,…

A:

Q: The number of bacteria in a refrigerated food product is given by N(T) = 22T² – 617 + 20, 3<T<33,…

A: The solution is given below

Q: Sketch a possible graph of a single function satisfying all of the following properties -DNE lim…

A:

Q: The indicated function y₁(x) is a solution of the given differential equation. xy" + y' = 0; Y₁ =…

A:

Q: y' =+y(y+2), y(0) = - 1

A:

Q: Solve the given differential equation by undetermined coefficients. y" + 2y = 2x + 3-e-2x y(x) =

A: Follow the procedure given below.

Q: How to work out the break-even???

A:

Q: r+∞ x e dx x ln x

A: We have to evaluate ∫e+∞dxx lnx                                            I = ∫e+∞dxx lnx…

Q: Given the function f(x) = 4x² - 3x + 5, find and simplify the difference quotient ( f(x+h)-f(x))/h.…

A:

Q: 3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

A:

Q: Consider the vector-field F(x, y) = y²i-xj, and let C be the arc of the parabola y = k – x² from the…

A:

Q: Find the solution of the given initial value problem. 3y""+66y'-1044y = 0; y(0) 11, y'(0) = 57,…

A:

Q: Calculate the appropriate limit to determine the equations 32³+2+1 f(x)= ar 2-1³ asymptotes for of…

A:

Q: NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time…

A: Topic- quadratic equations and application of derivatives

Q: Find the equation of the tangent line to the curve y = 8 sina at the point t ( 77, 4). The equation…

A: The curve y=8 sinx at the point π6,4

Q: 1.) Find polar coordinates (r,8) for the point P that has Cartesian coordinates (x, y) = (5,-5) such…

A:

Q: The function f(x) This function has a local maximum at x = with value - with value 5 + 8x + 72x and…

A:

Q: Find the solution of the given initial value problem. 3y""+66y' 1044y = 0; y(0) = 11, y'(0) = 57,…

A: The solution is given below

Q: Differentiate each function. f(t)=sin5t

A: We have to find derivative