Kindly solve the following completely within 20 minutes and draw thecomplete figure.    1. FIND THE AREA BOUNDED BY: x=y^2 and y= -x^2

Q: Let f(x) = 2log, (x) - f'(x) = ƒ' (1) =

A:

Q: Find the total mass of two turns of a spring with density p in the shape of the circular helix…

A:

Q: Find the partial derivative of the function with respect to each variable. h(p.p.0) = p sin o cos 0…

A:

Q: Match each function with its derivative. Y • x² x4 + 5x 1. cos x - - x8 8. sin x + x4 3x x4 -1.…

A: Concept: Differentiation of xm dydx=xm=mxm-1 dydx=ax=loge(a)· ax

Q: Calculate the fluid force on one side of the plate using the coordinate system shown below. Assume…

A:

Q: 3. Determine the 4th derivative of: y = 2x'e* [y(4) = 2e*(x³ – 12x? + 36x – 24)I

A: I am attaching image so that you understand each and every step.

Q: Find the vertices, the foci and asymptotes of the following hyperbola. 4x? – 49y? = 196 Vertices :…

A:

Q: Solve the problems below using the following steps; i.) Sketch the area, ii.) Determine the…

A: The given curves are; x=8+2y-y2, x=0 (y-axis), y=-1 and y=3   So, the bounded region is as shown…

Q: Find the points of intersection of the graphs of the equations. 2+y = 18 -2x + y = 15 %3D %3D (х, у)…

A:

Q: Q3: Find f(t) ( Inverse Laplace Transform )of the following functions s+1 2.F(s) = s4+s2

A:

Q: 1 11. lim, -2 Inx x-1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The two-dimensional Laplace equation, f(x,y)= -9x-6y +4 2²f ax 2²f Find for the given function. 2²4…

A: The given function,  f(x,y)=-9x-6y+4

Q: nd the area bounded by the given curves, axes and/or line 1. у? + х — 4у %3D5;B у-аxis 2. у %3D 3х —…

A: Here I am providing my handwritten solution

Q: ude 5. Find the area of the triangle created by the

A:

Q: df Find and dx dy for the following function. 7 f(x.y) = x' - 3xy + 6y? df

A:

Q: y''  +  y'+  2y  =  3e^2x

A:

Q: Find the slope, m, of the equation of the tangent line to the graph of y= (2x + 1)e* at the point…

A: derivative

Q: Find the curvature of the curve F(t) = (cos(5t), sin(5t), 3t) at the point t

A:

Q: 4)3y-4z = -2 3x-4y+z=-9 3-3x-2y-2z = -5 %3D |

A:

Q: determine the following log1o 10? b. log e?. c. log1o 800 с.

A: Since you have posted multiple questions i can do first three question as per our company guidelines…

Q: En²e-n³

A:

Q: What is the derivative of the expression (xy)" = e 1+ In(xy) 1+ In(xy) y O Option 1 Option 2 1+…

A: Given (xy)x=eTo find Derivative:

Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

A:

Q: 5. If fx) = ene0", find f"(0). a. e b. 1 C. 7 d. 0

A: Derivative

Q: 2) 1 V1-x² dx

A: The given integral,      ∫11-x2dx

Q: The equation below defines y implicitly as a function of x: 2x2 + xy = 3y2 Use the equation to…

A:

Q: Let f(x) = 4ln(4x) f(x) = £' (5)

A:

Q: Find all the second-order partial derivatives of the following function. 5 3 9 f(x.y) = x°y -x +y 7…

A: Given :f(x,y)=x5y3-x9+y7

Q: : Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) 2.F(s) (s +2)+n?n2…

A:

Q: Identify the type of quadric surface defined by the equation 5æ? + 6y? + z = 30, and find all x-,…

A:

Q: A solid lies between planes perpendicular to the y-axis at y = 0 and y=2. The cross-sections…

A: A solid lies between planes perpendicular the the y‐axis at y=0 and y=2. The cross‐sections…

Q: 2 2Y と xe didy ーy

A:

Q: Q2:Find the Laplace of the following functions: 1- cos(2t) 1. f(t)

A: We will find the Laplace Transform

Q: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

Q: Let u = (– 2, 4, 0) and v = (– 1,0, – 3). Find the angle 0 <0 < 180° (in degrees) between u and v.…

A:

Q: 6 4 Verify that for f(x, y) = 3x°y* - 4x°y°. дх ду ду дх of

A: Given problem:-

Q: Life Expectancy of a Female Suppose that in a certain country the life expectancy at birth of a…

A: In order to get g(t) integration need to be done.

Q: Find d. dx (36x+4)

A: Find d/dx .

Q: Use the theorem of Leibniz in the following problems: If y=x³e2x find y(m) and hence y(3). julm) =…

A: Leibniz rule states that (f(x)⋅g(x))n=∑r=0n Cr nf(n−r)(x)⋅gr(x) Let fx=e2x and gx=x3

Q: Solve the following by using Higher-Order Diffential Equations-Homogenous Linear Equations with…

A: Given that     (D5+D4-7D3-11D2-8D-12)y = 0

Q: This is a weird polar graph question in calc II, I don't know how to answer it. If you can provide a…

A:

Q: Find and sketch the domain of the function. f(x.y) = /y- 6x – 4 Find the domain of the function.…

A:

Q: Find the exact x-coordinate where there is a horizontal tangent line to the graph of f(x) = x8*.…

A: To find the exact x- coordinate.

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 16 + x²-y²…

A:

Q: 5s F(s) %3D (s + 7) (s? + 4) 35 35 10 -7t Answer: f(t) G, cos2t + sin2t) 53 %3D 53 33

A:

Q: Shen is driving to Phoenix. Suppose that the distance to his destination (in miles) is a linear…

A: This question is related to linear equations, we will solve it using given information.

Q: Use the shape of the graph to name the function. Standard cubic function Constant function Identity…

A:

Q: 2. Let f(x)=x²-5x. Find the difference quotient for f(-2+h)-f(-2) h

A:

Q: Kindly solve the following completely within 20 minutes and draw the figure/graph for each,…

A:

Q: ah find and 3x + 8y For the function h(x,y) = 9ху - 1° ду dh dx

A: