дz For z = x² + xy³; x = uv² + w², y = u + vew, find when u = 2, v = 1, and w=0 dv

Q: The function f(x) = 2x³ - 30x² + 144x + 6 has one local minimum and one local maximum. Use a graph…

A: The given problem is solved below in detail.

Q: QUESTION 17 Find a MacLaurin's series centred at x = -2 for.f(x) ==

A:

Q: A payment of $700 is due in 3 years, and $5,000 is due in 5 years. What single payment made today…

A: Solution of given question is written in below steps.

Q: 6. ၂ 3z+1 -4) -dz

A: ∫3z+1(z2-4)2dzExpand:=∫3z(z2-4)2+1(z2-4)2dz=3∫z(z2-4)2dz+∫1(z2-4)2dzNow solving…

Q: Determine the constants a and b in the equation of the curve y = ax + b³ + ca+d having a critical…

A:

Q: 2t³ +11t+8 3 t³+4t² +4t 7. S -dt

A:

Q: A company determines that its demand function is given by p(q) = -0.4q+ 1841 and that its cost…

A: To find out the marginal revenue at 2785 items.

Q: Directions: Find the area of the region bounded by the curves. Use a clean sheet of paper for your…

A: To find out the area bounded by curves.

Q: B = {x ER: x is a counting number} = {1,2,3,...} C = {x ER: x = 2n + 1 where n is a nonnegative…

A:

Q: 149. Determine the real number a such that vectors a = 2i +3j and b = 9i+aj are orthogonal.

A:

Q: Which situation shows the concept of the global minimum point? O Solving for the largest possible…

A: topic - global minimum point

Q: xp 11. 1. f, dxx -X

A: Let's solve  given integral.

Q: Find the direction angle of v for the following vector. v=3i-8j What is the direction angle of v?

A:

Q: Consider the function f(x) = 3x² − 8x + 6, 0 ≤ x ≤ 9. The absolute maximum of f(x) (on the given…

A:

Q: Consider the solutions Y(t) of with a, b, d constants and a, b>0. Calculate lim y(t). t-x Hint:…

A: This question can be solved using the concept of linear differential equation and limits.

Q: Change the order of integration of the iterated double integral: -8 r2 To for Y dx dy. 1/3 x7 +1…

A: Let's change the order of given integration.

Q: DETAILS LARPCALCLIM4HS 5.3.063. Solve the equation. (Enter your answers as a comma-separated list.…

A:

Q: The scalar equation of the line perpendicular to (x, y) = (5, 2) +r(1, -3) through the point (2, -2)…

A: The scalar equation of a line is of the form Ax+By+C=0

Q: F Find the area of the region bounded by the curve y = x³ and the lines y = -x, y = 1. (Draw the…

A:

Q: What is the derivative of y = (-3x²-x+4)e5 ANSE

A:

Q: Which equation shows the correct derivative of the equation y = 2x² + 16x +3?

A:

Q: Determine the derivative of the function g(x) = ex^2 - e(2x-5). Do not simplify your answer.

A:

Q: 1. y = Ax² + Bex 2. y = C₁ ex cos3x + C₂ ex sin3x 3. y C₁e* + C₂e²x + x 4. Iny = C₁e* + С₂е¯* 5. x =…

A: As you have asked multiple questions so that I have answered first question as per the guidelines.

Q: 1. Find each derivative. a) y = sin- X c) f(x) = ln- sin x COS X b) y = cos(x² - 2x-8)

A:

Q: [Select] the derivative of y? y = x⁹e²x+1 18. Which rule is applicable when solving for A.…

A:

Q: Gi‎ven: ∫ 40∫ 4−z0∫ 2√y f (x, y, z) dx dy dz a. Sk‎etch the so‎lid of integr‎ation of the give‎n…

A: Let's solve.  1.   Sketch the solid.

Q: Live of y = e(x+ln x) cive of ƒ(x) = 5x6 – sec jye of y = e(sin x) e(sin x) - sin(e

A: We have to find the derivative of the given function

Q: The fox population in a certain region has a continuous growth rate of 4 percent per year. It is…

A:

Q: Evaluate and Solve the function using the product and quotient rule of differentiation. Show your…

A: Here we have to use the concept of derivatives.

Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

A:

Q: bacteria culture starts with 200 bacteria and triples in size every half hour. After 2 hours, how…

A:

Q: Given a second order differential equation d²x dx 3: + 2x = 2e³t dt² dt dx where t = 0, x = 5 and =…

A: The given differential equation is: d2xdt2-3dxdt+2x=2e3t  where x0=5, dxdtat t=0=7.The above…

Q: Question 12 ( What is the function of cos that has an amplitude of 4 a period of at (0,2)? and has a…

A:

Q: 12 [ sin* ‡nxdx

A: We can find the answer as below

Q: Jonathan invested $240,000 to purchase a home. After 14 years, he sold the home for $320,000.…

A: The given problem is solved below in detail.

Q: 11. Oil is being pumped continuously from a Texas oil well at a rate proportional to the amount of…

A:

Q: If f"(x) < 0 at x = c, f(x) at x = c is

A:

Q: A payment of $2,300 is due in 2 years and $3,700 is due in 4 years. These two original payments are…

A: To find:The payment required 3 years for the rescheduled option.First we have to take effective…

Q: 15. [sec xdx

A: Trigonometric Identity: sec2x=1+tan2x

Q: dx (5-4x-x²) 18. 8. f

A:

Q: Q = - ST 8-x²-y² x² + y² y dz dx dy

A:

Q: S e2x x2 dx

A:

Q: 10. X dx

A:

Q: Find using implicit differentiation. Enclose final answers. dx (a) 4x³y² + x¹y³ − x + y = 0 (b) x…

A: 4x3y2+x4y3-x+y=0Differentiating both sides and isolating y' we…

Q: Find the derivative of f(x) = √5 - 4x. To enter √a, type sqrt(a). f (2)

A: The objective objective is to find f'(x).

Q: If f(x) = 5x(sin x + cos x), what is f'(x)? O 5 (sin(x) + cos(x)) -5x (cos(x) - sin(x)) No correct…

A: Derivative of product: ddxuv=udvdx+vdudx

Q: dx √2+√x −1 14. f-

A:

Q: Find the volume of the solid underz = 6 - 5x and above the plane bounded by y plane. O a. 19 O b. 11…

A:

Q: 5x Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x=-₁ 4 (A) 3.667…

A:

Q: For each of the following, find (i) the direction of P₁P2 and (ii) the midpoint of line segment P₁…

A: Given, P1(1,4,5)P2(4,-2,7) Therefore position vector of P1 and P2 is p1=i+4j+5kp2=4i-2j+7k