attached

Q: ydy 3. Jo (a2 – y2)z

A: Topic:- integration

Q: Evaluate the following. Give an exact answer, not a decimal approximation (a) csc 2 (b) sec (c) cos

A: Topic:- trigonometry ratios

Q: y - arcsin(4 + sin(x)) dy Calculate da Type sin(x) for sin(a), cos(x) for cos (a), and so on. Use…

A: The given equation is;  y=arc sin[4+sin(x)].

Q: 16) 4xy dx - (6x² +y)dy co

A:

Q: Find the area of the region bounded by the graph of f and the x-axis on the given interval. f(x) = x…

A:

Q: Find by implicit differentiation. dx x 6x + 7y = 8 dx

A: we have to find the derivative

Q: Find y'' of x⁵ - y⁵ = 1.

A:

Q: answer item 2

A: Topic:- limit

Q: f (x) +f (1 – 4 ) = x

A:

Q: dy Use implicit differentiation to find dx 2x - 3 5y? 2x +3 dy dx

A:

Q: sV 49 – x2 49 — х" dx

A:

Q: Find the arc length of the curve with parametric equations x = e-t cost and y = e-t sint on the…

A: We have to find the arc length.

Q: ydy (a2 (а? — у?)2

A:

Q: 3 14- Find L {r'} for (a)n="; (b)n=;:(a)n= 15- Find L[e" t 2 2

A:

Q: For items 14-16. Solve the following systems of inequalities graphically. x- ys 2 14. x+ys 2 X2 - 2…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: If the differential equation ydx+xdy= 0 is being solved, what is the geometrical figure represented…

A: Differential equations

Q: x2-4 dx S xVx2-9

A: solution:-∫x2-4xx2-9dx=∫xx2-9dx-∫4xx2-9dx                            =12∫2xx2-9dx-4∫1xx2-32dx…

Q: 1) Calculate 21+v3i

A:

Q: Find the following limit or state that it does not exist. x - 4x +3 lim X-3 x-3

A:

Q: 2. Which of the following is the process of finding the antiderivative of a function? A) Limits B)…

A: Topic:- integration

Q: S ey (x – 4) daæ dy - O a. O b. (a-b)(a²b?/6) O c. (b-a)(a²b?/6) (b+a)(a²b?/36) а. С. O d.…

A:

Q: If f(x, y) = 16 − 4x^2 − y^2 , find fx(1, 2) and fy(1, 2) and interpret these numbers as slopes.…

A:

Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: Given equation is quadratic so accordingly draw the graph and then solve .

Q: Evaluate the following integral. 6x cos x dx - 4x

A: Given,  ∫-4π6πcos2x dx

Q: The demand and supply equations for an MP3 player are given by p = 123 - 11x p = 72 + 6x Demand…

A:

Q: ) Use the Integral Test to determine whether the series 1 is convergent or divergent. n=1 (3n – 1)?…

A:

Q: Evaluate the following integral. 2. Cos x dx -4n - 4n

A: ∫-4π6πcos2xdx=∫-4π6π1+cos2x2dx=∫-4π6π12+cos2x2dx

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

A: Given, f(x)= 2x²+1 [1,6] n= 5

Q: Next Solve the system of differential equations 17x – 8y | y' 36х — 17у æ(0) – 10, y(0) - 23 || The…

A: We have to find the eigen values and eigen vectors.

Q: 1. Consider the point in the plane whose Cartesian coordinates are (x, y) = (-10, 24). 1.1. Find…

A: From cartesian to polar coordinates we have the following conversion formulax2+y2=r2 i.e.,…

Q: (x+y–1)dx+(2x+2y+1)dy=0 Coefficients Lincar in Two Variables: %3D

A: The given equation is: (x+y-1)dx+(2x+2y+1)dy=0⇒dydx=-x+y-12x+2y+1⇒dydx=-(x+y)-12(x+y)+1...(1)

Q: Vector u is represented by the directed line segment RS and vector v is represented by the directed…

A:

Q: Use substitution to determine whether the given x-value is a solution of the equation. -5 tan x= 3 O…

A: topic- trigonometric equations tan(-θ)=-tan(θ)tan(π-θ)=-tan(θ)

Q: 4) lim (ei – 1) x 3

A: Let's find.

Q: Find the equation of the two lines that are tangent to the curve x 2 + 4y 2 − 4x − 8y + 3 = 0 at…

A: Given

Q: Question 17 Write the vector v in terms of i and j whose magnitude Iv and direction angle 0 are…

A:

Q: dx 1-Cos r

A: The Given integral is 1/(1-cosx).

Q: The figure shows a scale drawing of a water feature and a coin pond that are being installed in a…

A:

Q: Barbados A cruise ship maintains a speed of 5 knots (nautical miles per hour) sailing from San Juan…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: -1 cos х ах

A: We can find the answer to the integration in the following steps.

Q: If f(x) = 4x sin-), find f'() = f' (0.4) -

A:

Q: In AZXY, y = 11m, x = 12m, mZZ = 141°. Find the area of the triangle and round to the nearest tenth.…

A: Find the area of triangle

Q: 1. Coefficients Linear in Two Variables: (x+ y-1)dx+(2x+2y+1)dy=0

A:

Q: Let f(x) = (7sin a + 4cos z)tan-a f' (2) -

A: Topic:- derivatives

Q: The graph of f(z) is shown below. Which of the following statements are true? 7. 6- 5- Select the…

A:

Q: - 12i + 4j+ 6k| Select one: О а. 14 О ъ. 20 О с. 16 O d. 18

A:

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i +11 sin(t)j +…

A: Apologies for the inconvenience. The answer should have been simplified more.…

Q: 1. For the curve x²y? = 25 at (-1,-5), find the equation of the normal line. %3D

A:

Q: b) sin(xy) = sin(x) + sin(y)

A:

Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 500 + 600t – 120t2, where t…

A: