Find the point on the curve h(x)=x2−8 that is closest to the point (−18,−8). Enter your answer as an order pair.

Q: Find the particular solution for y' = x3 – 2xy when x = 0, y = 1

A: We are given a differential equation: dydx=x3-2xywith the initial cobdition x=0, y=1 We can solve…

Q: Find for y = x. -

A:

Q: Find high order DE 6. (D4-5D² - 36)y = 0

A:

Q: Find the general solution of y' = y secx

A:

Q: Determine an approximate solution of the equation z3 + 3xyz? – 5x²y²z+ 14 = 0 for z near 2, as a…

A: To determine : an approximate solution of the equation               z3+3xyz2-5x2y2z+14=0 for z near…

Q: f(x) = 2+ 3x² – 8x3 -

A:

Q: A company which produces scooters has revenue (in dollars) given by R = 300x – 0.02x², where x is…

A:

Q: Does y' = −4(y − 5) have a solution that tends to∞as t →∞?

A:

Q: If y2 is negative, then y1 + y2 will lie _______ y1 by a distance equal to ____.

A: If y2  is negative, then y1+y2  will lie _______ y1  by a distance equal to ____.

Q: y = 8e*, on x e [0, 2]

A:

Q: If y2 is positive, then y1 + y2 will lie _______ y1 by a distance equal to ____.

A: Consider a function y=sinx+1. Here y1=sinx and y2=1>0positive.

Q: A company which produces scooters has revenue (in dollars) given by R = 300x – 0.02x², where X is…

A:

Q: Calculate y*)(0) for 0 < k < 5, where y = x* + ax³ + bx² + cx +d (with a, b, c, d the constants).

A:

Q: Consider y = xe^x on the interval [-5, 0]

A: In order to find global minima of the function, check the values of the function at end points and…

Q: Suppose that |(3x4-x2) dx=Ax+Bx³+C, for constants A, B, C. What is the value of C if the curve…

A:

Q: Solve by reduction of order. Find y2 and y (x² + 1)y" – 2xy' + 2y = 0 yı = x -

A:

Q: , y = X = t+2 t+2,

A: The solution of the problem is given in the next step.

Q: find all possible functions with the givenderivative. y' = 2x

A: According to the question, we have to find all possible functions with the given derivative y'=2x.…

Q: When x = 2s+7t, y=5st and z= 3.x2 – 3, in the form of s and t. express

A:

Q: 2t + 3 r(t) -, In(t² + 2) t2 +1

A:

Q: A company which produces scooters has revenue (in dollars) given by R = 300x – 0.02x, where x is the…

A: The revenue is given by R=300x-0.02x2So the rate of change in revenue=R'=300-0.04x

Q: h(x) = Vx – 2 on the domain [2, 5]. -

A: The given graph is:

Q: For a company that manufactures tennis​ rackets, the average cost per racket is found to be…

A:

Q: I Eliminate the arbitrary constants y = x²+ ax + be*

A:

Q: t² - t dt 0, = (x)6 g'(4) =

A:

Q: Find dz implicitly of the relation r + y³ = 3ry.

A:

Q: Find the DE by eliminating the arbitrary constants |.cʻy² = xCx- )° %3D

A:

Q: y = In /2x

A: The function is given by y = ln2x

Q: e^3z analytic or not ?

A:

Q: Eliminate the arbitrary constants of  y=e^(-3x) (Acos5x - Bsin5x) + Cx Where A, B,  and C are the…

A: It is given that, y=e-3x(Acos5x-Bsin5x)+Cx. Obtain the first derivative as follows:…

Q: ed by F(x, y) = (-: %3D

A: The function given is , F→x,y=-x,y. Draw the table for the points plot on the graph for the vector…

Q: For a company that manufactures tennis rackets, the average cost per racket is found to be C = 400 +…

A: GivenC=400x+3+12x

Q: Evaluate [ T 1-x² x² + y² dydx.

A:

Q: Find the initial value of the relation y = 3(x+3)² + 7

A:

Q: y = x2 - 2x over the interval (0, 2]:

A:

Q: What is the DE for A(x^2)+Bx+C using elimination of arbitrary constants.

A:

Q: x, y) Edy is

A:

Q: Is the equation t²y' (1) t + 4 - separable? y?

A: t2y't=t+4y2

Q: y = v1 - x2 from a = 0 to r = ;

A:

Q: Write down a solution to y' = 4(y − 5) that tends to −∞ as t →∞.

A:

Q: Solve for y when x=o degrees: y=2sinx

A:

Q: Differentiate with respect to t 100 = x2 + y2

A: give equation ;- 100=X2+Y2 when we differentiate above equation with respect to t , we get

Q: Is the function y = Cx² a solution to the ODE y" – xy' + y = 0?

A:

Q: c. Reflection over the x-axis and a y- intercept of 5

A: Given the attribute :

Q: Solve for y in terms of x and z. z = xy

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Find: TxTyrTxyjTzy 下x TメッTxx,Te Tez デツッこ,四己 ーXそ

A:

Q: Calculate y(k)(0) for 0 ≤ k ≤ 5, where y = x4 + ax3 + bx2 + cx + d (with a, b, c, d the constants).

A:

Q: find the first order linear y(t)=4et-1-t-1

A:

Q: "+y = sec³ x

A: