Find a cartesian equation for the curve r2 cos(20) = 4. Equation Use your answer above to identify the graph of r cos(20) = 4.

Q: Solve the equation .11 y" + 3y' + 2y = x2

A: We can solve the given differential equation by using the method of undetermined coefficients.

Q: Solve the system of linear equations using Gaussian Elimination. -71[X1 X2 X3 15] [x4] 5 -10 3 14 8.…

A: To find the solution of given system of equation.

Q: (2х - 9)4 dx

A:

Q: Determine whether the following function is a polynomial function. If the function is a polynomial…

A:

Q: The growth rate in the weight w(t) in kg of a Persian cat can be represented by w'(t) = 6e-0.25t,…

A: Here we have to use the concept of integration for solving the given problem.

Q: _ア-1 x² - 1' y(2) = 2 dx

A:

Q: Which of the following is the solution of ди +2- ди Ox 0 = a) u(x,y)= e"-2x b) u(x, y)= (2x + y)³ c)…

A:

Q: Solve the equation .11 y" + 3y + 2y = x2

A:

Q: 9. S sec³ x tan x dx

A:

Q: 7x and y = 5x². Sketch the region enclosed by y Decide whether to integrate with respect to x or y.…

A:

Q: taylor tanox)

A: We have to find Taylor series of tanx

Q: dy = ky dx x = eky y = e-kx Option 2 O Option 4 O y = ekx x = e-ky Optio n 2

A: The given equation is dy/dx=ky.

Q: f(In) For the function f(x) = x + 3x + 1, write Newton's formula as En +1 = F(In) = In - %3D for…

A: Topic:- application of derivatives

Q: Evaluate the following sums using summation formulas. 10 10 10 Σ b. ) k? а. C. k=1 k=1 k=1 10 а. k=1…

A: We have to evaluate the sum

Q: This equation is. . .differential equation dy y2 = X x² + dx ху Bernoulli Separable Homogenous…

A:

Q: If f is continuous at a number, x, then f is differentiable at x. True

A:

Q: * The solution of the differential equation below is dy = ky dx %3D x = eky y = ekx Option 2 O…

A:

Q: Find fxy when f(x, y) = 8xeXy.

A: To find fxy when fx, y=8xexy.

Q: Three equally sized corrals are constructed next to a river. if the area to be enclosed is 19600…

A: Use concept of minimizing of fencing

Q: Evaluate the limit. 12 lim х — 5 - x-5 x2 + 2x – 35 Give your answer in exact form. If the limit…

A:

Q: The Leslie matrix below describes a population with four age groups consisting of juveniles,…

A:

Q: Find the points on the curve where the tangent is horizontal or vertical. You may want to use a…

A:

Q: Find the solution of the following BVP given that y(0)=2 and y(1)=0. d’y_12dy. dx +36y = 0 dx

A:

Q: Find f. - Vi- () -- 8. f'(x) = 9 %3D V1-x2 f(x)

A:

Q: *?Which of the following equations Is an exact differentlal equation (x² + 1) dx – xydy = 0 2xydx +…

A: We have to choose correct options.

Q: * This matrix is a -7 -5 11 7 -11 diagional matrix symmetric matrix An upper triangular matrix skew…

A:

Q: A: By using Linear equation solve the first order differential equation y' + sec(x)y = cos(x)

A:

Q: Find the length of the curve of the graph of the indicated function. y = In(sen x), between points…

A:

Q: Find the limit.

A:

Q: Evaluate with out hoH LnX lim

A: The given limit is: limx→1lnxx-1   As we know from the Taylor series with center 1:…

Q: stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

A:

Q: The solution of the differential equation below is dy 3y- + 4x = 0 dx %3D

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t? + 4 1 lim 5t2 + 6 7t (?,?)

A:

Q: ICLO-1) Three players (Ady, Brenden, and Cara) are sharing a pie that is worth $15. Suppose that the…

A: This is a problem related to percentage. Based on the general formula and concepts we will answer…

Q: Find the x- and y-intercepts for the function. x+1 r2+36 f (x) Enter your answers as points, (a, b).…

A: The given function is: fx or y=x+1x2+36   As we know that; To determine, x-intercept, we need to…

Q: Show that the following functions satisfy Laplace's equation dx? = 0. dy? f(x, y) = x³y – ry³

A: Given :f(x,y)=x3y-xy3

Q: S cosh? 2x sinh² 2x dx

A: This question is based on indefinite integral.

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: Find the slope of the tangent line to the curve y = (1+4x)? at the point x = 2.

A:

Q: Find the exponential function that contains the points (2,48) and (3,192).

A:

Q: Find the average value of f(x) = 14 – |x| over the interval [ – 14, 14]. fave

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: Calculate the surface integral / G(r) dA, where G = (12xz + 36)1/2, the surface S is given by the…

A:

Q: Q2/: Full the following blanks by the suitable solution (Undetermined Coefficients method) If y" +…

A:

Q: Given the curve y = x´ and the lines y = 0 and y = 2 – x wwww Find the ordinate of the centroid Y חו…

A:

Q: Solve the following differential equations of (2x' + y)dx +(x²y-x)dy =0

A: This is a problem of differential equation. Based on exact differential equation concept we will…

Q: -2 *y"+6xy' + 6y = x²

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Let's find.

Q: Find an equation of the plane through (-7,2,1) that is perpendicular to the line x - 2 = 3t, y +3 =…

A:

Q: Find u + v, u – v, and 3u 5v. Then sketch each resultant vector. | u = (-4, 1), v = (3, -5) %3D (a)…

A:

Q: 10 (5, 10 -x, x>5 x55 Use geometry to evaluate f(x) dx for f(x) = O 12.5 O 25 37.5 Cannot be found

A: Given that fx=5,x≤510−x,x>5 To evaluate ∫010fxdx