4. Convert the following rectangular coordinates to polar coordinates, then find 3 additional repre of the point. b. (-3,-3) a. (3,-3√3)

Q: Find the measures of the angles of the triangle whose vertices are A=(-2,0), B=(3,3), and C=(1,-1).…

A:

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: We have to find the volume.

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 4 4. Lim - x 0 Arctanx.

A: Given :limx→01x-1arctanx

Q: 5. Ssin' x dx.

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

Q: Assume that y is a differentiable function of x such that y^2 = x^2 + 4xsecy. Find

A:

Q: 7) y = — - cos (40-32) 2 D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The general solution of y" + y = sec³ x

A:

Q: 10) x² + y²-28x-6y + 189=0

A:

Q: 6. Find 0²y of z = In(xy)

A: We can find the partial derivative as below.

Q: Suppose that an equilateral plate that is 2 feet high is standing straight on the bottom of a 6 feet…

A: Solution of the problem as follows

Q: Find the length of the curve y=In (cos x), -≤x≤0. The length of the curve is. (Type an exact…

A:

Q: Sand is pouring out of a pipe and is forming a conical pile on the ground. The radius of the pile is…

A: Given:-radius of the pile  is increasing at a rate of 4 ft/daydrdt=4 ft/dayheight of the pile is…

Q: The general solution of y" - y = x²ex + 5

A: To find the general solution of y''-y=x2ex+5.

Q: Find the number k> 0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

A:

Q: Л ST 6 77 6 EN F/3 2 3 -0 i 11 6 4) V3 2² 2 27 3 F|N 11 6

A:

Q: 3. f(x)=(5x² - 4x³ )³(secx + tanx)³

A: Given; f(x)=(5x2-4x3)3(secx+tanx)3.

Q: = In ( ²² +2²³v-_-²³ ) · then x +y is da by x-y If the function u = ln

A:

Q: Prove the following identities : a) Csc0+tan 0.Sec0=Csc0.Sec ²0

A:

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Given problem:- Solid S is bounded by the given surfaces. (1) Sketch S and label it with its…

Q: xcosx 2. Lim: xo sin²x 2

A: We can find the limit as below

Q: zze Find of z = In(xy) a²y

A: Topic:-  application of derivatives

Q: Evaluate sin(x) 1+cos(x) -dx

A:

Q: 8y^4+12y^3-2y divided by 2y^2+y

A:

Q: ***********Please print your data chart and graph on Excel and attach to this sheet************ You…

A:

Q: find given f (x, y) = e² + 2xy² – 4y at (0,3) af dy'

A:

Q: 14. The vectors a and b are given below. Use these vectors to sketch each of the following. za + b…

A:

Q: Find the limit. x² - 25 lim x 5 x²8x + 15

A: We need to find the limit:limx→5x2-25x2-8x+25

Q: 2. The Minimum point of y= 8x+4 (x-2)²

A:

Q: The graph of a rational function, f(x), has a point of discontinuity when x = 2 and an asymptote…

A:

Q: 1. Lim X→2 2x³+2x²+2x+6 x3+4x+3

A: Apply limits to find the solution

Q: Numerical Integration: 2 1 Jo √x 1. =dx

A: We can find the answer as below

Q: 14) x² + y² - 4x + 24y + 144 = 0 16) x² + y² + 10x - 14y+ 25 = 0

A: Solution is here

Q: 9. Name the polar coordinates of the point graphed below. 플 S ㅍ 3π 10 -0

A: one radial line show one unit radius here point is at 4 number so point is (4,π/3)

Q: Prove the series diverges through Alternaeting Test. +∞ Σ (−1)α α1/2 α=1

A: Alternating series test

Q: 5. Given the matrices below, find B. A 2 1 2000000 A = 3 4 0000000 B = [5 -3 0]

A:

Q: Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find a)  The intervals on which f is increasing. b)…

A:

Q: (x - 2) is a factor for x2 - 5x + 6. صواب (خطأ

A: For   x-a to be a factor of a quadretic equation then x=a is a solution of the quadretic equation.

Q: (d) On what interval(s) is f(x) ≤ g(x)? (Enter your answer using interval notation.) (f) On what…

A: To answer the given questions using the given graph.

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A:

Q: 9 B = 10 2 4-[1 ² 3] and 5 6 A = 6. Given EXPLAIN WHY you can multiply AB but cannot multiply BA.

A:

Q: Lim x-0 et - 10t X

A:

Q: 9² P 2 -2- -N -6 -4 4 6 f (x) above, find the following limits. answer field, in text entry mode…

A: Topic:- application of calculus

Q: 3. y = 1 √x Calculate y'. 1 V3

A:

Q: 4. Consider the sequence {n} (a) Write out the first five terms of the sequence (b) Determine…

A:

Q: 1. The Maximum point of y = (x²+2x+10) (x-3)

A: Find out the maximum point.

Q: f cot rda Hint: 1. Final answer should be in terms of cosecant. 2. Any constants that arises due to…

A:

Q: 3.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: apply Pythagoras

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t)= -…

A: Given query is to find the height when velocity is 100ft/sec.

Q: Find the values of p for which each integral converges. 2 80 dx dx b. x(In x)P x(In x)P GELEH 2 dx…

A:

Q: Let R(t) = (t²,1 − t², t) and r(t) = cost. Determine the parametric equations of the line tangent to…

A: