Graph the circle given below by moving the key points: (x - 2)² + (y + 2)² = 16 To graph the circle, drag the center point to the desired location, and then drag the radius point until the ra desired number of units. Provide your answer below:

Q: Solve the initial value problem dy € + ² = 5x√ỹ, _y(1) = 2.

A: standard form is dydx+p(x)y=q(x)given  dydx+yx=5xydivide by y  both sides 1ydydx+1x×yy=5xwe know…

Q: ← dy (a) Show that y* +x-6=0 is an implicit solution to dx Part 5 of 6 1 on the interval (-∞,6). 4y…

A:

Q: enclosed

A:

Q: Find a polar equation for the curve represented by the given Cartesian equation. x² + y² = 4cx k

A:

Q: The volume of a sphere is increasing at a constant rate of 198 cubic feet per second. At the instant…

A: let Volume = V V = 43πr3S = 4πr2dVdt= 198 ft3secfor an intance V = 18 ft3

Q: 6. Given that (a) sin csc x=3, 90° <x<180° find X 3+2√2 6 ×IN Answer: sin- 2

A:

Q: 44 If 2x=y¹/5 +y=1/5, then express y as an explicit d²y dy = 25 y. dx dx² function of x and prove…

A:

Q: Find the area of the region bounded by the graphs of the equations. f(x)=sin(2x), g(x) = cos(x), -…

A: Please see the below picture for detailed solution.

Q: Find F'(x) given F(x) = f ³² z S³ z³ dz. <-3x ○ F¹(x)= 54x³ ○ F'(x)=0 ○ F'(x)=81x³ ○ F'(x) = 162x³

A: fiven  F(x)=∫-3x3xz3dzwe know  ∫zndz=zn+1n+1+cdxndx=nxn-1

Q: 20. The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as…

A:

Q: mpute the following integrals using suitable method. [xy dxdy, where R is theregion bounded by y=1,…

A:

Q: A farmer plans to fence a rectangular pasture adjacent to a river (see the figure below). The…

A:

Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

Q: Consider the following function: f (x) = x4− 18x2 + 6 Enter the x-values of any local minima,…

A:

Q: Given f(x) = 19x - 3| +2 25. f'(²-) = If f(x)=(√3x-2)5 then f'(9) = Given f(x) = sin(3x)² 26. f'() =

A:

Q: Determine the solution of the following differential equations. a) (D² +9) y = 81x² + 14cos3x

A:

Q: A population is modeled by the differential equation dP P d = 1.2P(1 - 2200) dt (a) For what values…

A:

Q: Find the radius of convergence and interval of convergence of the series. n=0 (-2) ¹ 3n+1 -(x + 3)"…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  substitute n+1…

Q: Use the chain rule to find the derivative of 3 10√/2r³ + 10x¹0

A:

Q: (b) Given the graph of f (x) below (blue), select the correct graph of the transformation y = 2f (x)…

A:

Q: So Lov (x + y) dy dx to polar coordinates. a. Convert the integral b. Evaluate this integral. Hint:…

A:

Q: Solve the equation dy 2y² S 3ry

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here…

Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

A:

Q: 7. Let f be a function defined for all real numbers x and for all real such that f'(x) < 0 and f"(x)…

A:

Q: Let C be the curve defined by the following system of √x+6y²-2²=0 3y = z 14:

A:

Q: Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the…

A:

Q: Differentiate the function. g(t) = 9t + 8t² g'(t) = 9+16x X

A: given  g(t)=9t+8t2we know  dtndt=ntn-1g'(t)=d(g(t))dt

Q: Differentiate the function. g'(x) = g(x) = In(xe−8x)

A:

Q: Find the general solution of the homogeneous differential equation (D³+2D²+D+2)y=0

A:

Q: In the figure, the regions A, B, C and D bounded by the x-axis and the graph of f have the following…

A:

Q: › = √²) f(u)du what is dg / dx? Suggestion: Let x² = v and use the chain rule. _g(x) =

A: Given query is to find the derivative.

Q: 6. f(x) 10. f(x) 12. j(x) f(x) 14. 16: Function 3. 7. 9. 11. f(x) 13. f(x) 15. f(x) 17: f(x) 15.…

A: Match the function with the graph of its derivatives.

Q: sing the method of variation of parameters to olve the nonhomogeneous DE: y" + 6y + 25y = 7+ 2x² we…

A:

Q: Find the mass of the lamina bounded by the graphs of y = x² and y = x with mass density p(x, y) = x

A: As we know the expression for the mass of the lamina body is: m=∫cd∫abρx,ydydx   The given curves…

Q: ppose h(x) = f(g(x)). Given the table of values below, determine h' (2). x f(x) g(x) ƒ'(x) g'(x)| 2…

A: Given query is to find indicated derivative.

Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

A: The given initial value problem:x+1y''-2-xy'+y=0 ; y0=8 ; y'0=-1

Q: 14. The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30…

A:

Q: 7s +5 s² + 25 Is true or false? Select one: O True O False Give your reasons } = 7 cos (5t) + sin…

A:

Q: Find the length of the loop of the given curve. x = 6t - 2t³, y = 6t²

A:

Q: 6) Show that (2xy, 2yz + is conservative.

A:

Q: Consider the following function: Step 4 of 4: Enter the x-values of any local minima, maxima, and…

A:

Q: a building so that its foot moves away from the building at the note of 3 feet per second. When the…

A:

Q: X √√ ( 2² + 2)² This can be transformed into a basic integral by letting Consider the indefinite…

A:

Q: Match the following functions with the general shape of their graphs. Functions f(x) = ln (x + 2) -…

A:

Q: Find the area of the shaded region. Ay 121- 99- 77- 55- 33- 11- y=121-x² -33- -55- -77- -99- -121- X…

A: To find the area of the shaded region.

Q: b) Solve by direct integration: er dy dx dy 8 given y-5, when x=0

A:

Q: Find dy/dx and dy/dx². x = e, y = te-t dy dx² For which values of t is the curve concave upward?…

A: Given query is to find indicated derivative.

Q: 28-30) Given f(x) = 2x + 3 and g(x) = 3x + 5 28. If P(x) = f g then P' (2) = 29. If D(x) = then…

A:

Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.