y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the antiderivative of the resulting function: |(10x – 3)dx = f 10r de - f 3dx = 10 :dx – 3 | dx = 10 — Зх + С = 5x? – 3x + C_

Q: dy Given the equation below, find de 1722 + 8x8y + y° = 26 dy dx Now, find the equation of the…

A:

Q: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

A: Topic:   Linear Equation problem Here is the answer

Q: Maximum Area An animal shelter has 176 feet of fencing to enclose two adjacent rectangular playpen…

A:

Q: Find the velocity and acceleration vectors in terms of u, and ue. do a0 r= 9 e and :3 dt v=Ju, +Jue…

A:

Q: | 4r* cos y dA; R = {(r, y) : 1 s r s 2, 0 sysa/2}.

A: Given: I=∫∫R4x3cosydA and Rx,y: 1≤x≤2, 0≤y≤π2   As we know that; ∬dA=∬dxdy or ∬dydx And The Power…

Q: 15. xydx + 2(x² + 2y²)dy = 0

A:

Q: The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = VT. Find the…

A:

Q: cot X dy Cos X Sinx

A: To solve the given differential equation.

Q: Let B be the region in the first octant inside both x + y + z? = 1 and Vx2 + y² . Z. 3= a) Find the…

A:

Q: Sketch the region enclosed by 2y = 5/a, y = 4, and 2y + 2æ = 7. Decide whether to integrate with…

A:

Q: 2. Determine if the following integral converges or diverges. If the integral converges, find its…

A: We need to check whether the given integral converged or diverges.

Q: lim (5x + 1)cot* x-0+

A:

Q: Lit Pibrithe plane comtrining the porente (1-1:0). (1:0-1) and (0-1-1)- and Pabetheplane usith…

A:

Q: 7. Find f(x) given: 2 f" (x) = 48x 6x + 1 and f (0) = 1 and f (0) = 2 %3D

A:

Q: Find the Average Rate of Change of the following function ver the interval [1, 7] (That is, from t=…

A:

Q: Exercise 14.5.1 dz for the the following functions To calculate z = f(x, y) = 2 – 3ry + 2y? I = r(t)…

A:

Q: sin(4z) 7. lim I-0

A:

Q: Find a unit vector that has the same direction as 8i - j+ 4k. Write the numerical coetficient in…

A:

Q: Q1: Define each of the following b) Normal group c) Nilpotent element d) Prime ideal e)Field.

A: Define each of the folowing:- b) normal group c) nilpotent element  d) prime ideal e) Field

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x°, y =…

A: Here we have to find the volume.

Q: Find and classify the critical points of the function: f(z, y) = 1' + y* – 144zy + 4 Local maximums:…

A:

Q: Evaluate f e 1 dx 3 x

A:

Q: 4. For the following motion equations = 2t° - 15t + 36t – 22, t>0 a. Find the velocity and…

A: A detailed solution is given below.

Q: Which of the following properties of the logarithmic function in the form g(x) =log.(x) where a >0…

A:

Q: 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in the form of…

A: Given problem:- 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in…

Q: A man 2 m tall is walking away from a lamppost which is 6 m tall at a rate of 2m/s. Find the rate of…

A:

Q: Evaluate the following integral. Expand the integrand and write the resulting integral. | dx (Type…

A: Given:         ∫6x2x2+9dx   Expand the integrand.      =∫6x2·x2+6x2·9dx         =∫6x4+54x2dx

Q: Problem 1 Solve the inequalities and sketch their graphs on the real number line. (a) 4r – 6 > 10…

A: We have slove inequality  As per guidelines we have to solve 1 question if you need please repost…

Q: Find dy/dx of 6x² – 4y² = 10 at (1, 2) 3/2 None of these 4/3 -3/4 4/3 On the circle x + y? = r²,…

A:

Q: 3. Cylindrical Method a. y = 9 – x2,y = 0, about the x – axis b. y = Vx,y = x, about x – axis

A: Given

Q: 8" n=1 /-

A: this is converegent so the sum S = 1/(1-8) S = -1/7 S = -0.1429

Q: 135 2. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: s. u.) 4

A:

Q: Use the tabular method to evaluate the integral fa (x³ + 2x-1) cos(4x)dx COS

A:

Q: Find the area of the region enclosed by the two functions y = 7x² and y = a² + 6. Area =

A:

Q: Find an equation ( in point - nomal form) of the plane containing the point (1.-3, 5) and the line…

A:

Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (z? + y?)° = 25(x² – y²) at the…

A:

Q: At t = 0 the tank was empty. (3.9) (s.9) .(12,9) gal min 7 10 min (9,-4) How many gallons were in…

A:

Q: Use your calculator to find the area shown in RED. 8 f(x) = sec(.5x+2) + 2 tan(.5x + 2) +3 Round the…

A: The region is bounded by the curve,fx=sec.5x+2+2tan.5x+2+3 from x=0 to x=5

Q: Find the area of the shaded region below. x = y? – 4y (-3, 3)

A:

Q: 3 dx 2 х2+1

A: Given problem:-

Q: Find the following for the vectors u = - 5i + 8j + V5 k and v = 5i – 8j – /5 k. a. v•u, v, and Ju b.…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: 1. Using the graph below, answer the limit and continuity questions. 2, 6 8. -2 Graph of f Find the…

A: we have to find out the limit

Q: Solving Separable Equations: 1. dy - x-5 dx y2 2. = dx 3x²(1+ y?)

A:

Q: Find the area bounded by the given curves, axes and/or lines. 1. y2 + x – 4y = 5; y-axis 2. y = 3x –…

A: Solution is given below:

Q: Ift=2cos (y² + 2), find the derivative of t with respect to y. A. 8y sin(y² + 2) cos(y² + 2) B. –8y…

A: The given function,  t=2cos2y2+2

Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

A:

Q: Q3: A right circular cone has the radius of the base and the height which at a given instant (to)…

A:

Q: Find the derivative of y = Arccot (tan 2x).

A: The objective of the question is determine the derivative of the given function.

Q: A window consists of a rectangle surmounted by a semicircle. If the perimeter of the window is 32…

A: We have to calculate radius and height

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

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