Convert to a rectangular coordinate. 5T – 4, 10. -

Q: Find AB. Round your answer to the nearest tenth. A 28 mi 31 C B 15 mi 17 mi 18 mi 23 mi 24 mi

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Q: Find the equation of the tangent line at the given value of x on the curve. 3 4 2y° + xy - y =…

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Q: . Evaluate [10x cos(x²) dx . A) sin(x³)+C C) 30 sin(x') +C 3 B) sin(x') +C 10 D) 3 sin(x') +C 10

A: Our Aim is to evaluate the integral given below:-∫10 x2 cos (x3) dx -(i)

Q: Write the vector v in terms of i and j whose magnitude Iv] and direction angle 0 are given. Ivl - 7,…

A: This question can be solved using the concept of component form of vectors.

Q: dx x2 – 6x + 10

A: We can find the integration as below.

Q: Find the Jacobian of the transformation. x = 6u/v,    y = 7v/w,    z = 4w/u ∂(x, y, z) ∂(u, v, w) =

A: To find the Jacobian ∂x, y, z∂u, v, w of the following transformation.x=6uv, y=7vw, z=4wu

Q: 2dt 15. J (E+3)vE +6t-7 arcsec(+c d. arcsin(+c a. 2 Invt2 + 6t -7 +c c. t+3. b. 2 (t2+6t-7)/2 +c 1/2

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Q: Solve the triangle. Round your answers to the nearest tenth. a = 23, c= 27, b= 24 mLA = 53.2°, mZB =…

A: The Cosine rule: a2=b2+c2-2bccosAb2=a2+c2-2accosBc2=a2+b2-2abcosC Given: a=23, b=24, c=27

Q: 1.) Which of the following are TRUE about differentiable function: I If rx) exists, then the…

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Q: 3) Find the area of the region bounded by x? = y and y = 1. a. 1/3 sq.units b. 2/3 sq.units c. 4/3…

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Q: 4x 12. Using tools from calculus plot graph of f(x) = Make sure to find critical 1+x²° points,…

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Q: 1 | y/35y² dy 2

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Q: Determine the x-values at which the graphs of f and g cross. If no such x-values exist, then state…

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Q: Find an equation of the ellipse with minor axis length 6, and vertices (3, 1) and (3,9).

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Q: - dx. 3. Evaluate J9x -16 C) 271n|9x° +16 +C D) In px" +16 +C A) 27In|9x° -16 +C B) Inpx° -16| +C 27…

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Q: sin y dy 3

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Q: Problem 4 Solve x Iпy lnx dy + dx

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Q: Let D be the solid unit cube: 0 < x < 1, 0 <y< 1, 0 < : < 1. Let S be the closed surface boundary…

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Q: Change the following rectangular equations to polar form. Show work on separate paper. 14. x² +y°…

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Q: complete

A: As per policy only first three questions are answered. Please refer to the image below

Q: (с) (2x3 + у) dx — x dy %3D0..... [EXACT DE]

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Q: The following statement is correct: cos y . sin x •1 cos y . sin x - dx dy. x3 dydx = [* ' ery exy…

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Q: e2 dx 4e2x – 8e* + 5

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Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

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Q: əf. dy and In each of the following, find dx (n) f(x,y) = tan x tany %3D

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Q: .3 4 cos³ 4y /sin 4y dy

A: To find out the integration.

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

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Q: 4.For the 2 curves xy = 8 and x2 = 64y, find the angle between the two tangent lines at the !! %3D…

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Q: Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we…

A: This question can be solved using the concept of function.

Q: लि dx dx 3. case 2 (x + १) १/

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Q: 4 8. + 6. 16 Consider the following geometric series: 2+ + .... Identify a and r, find a formula for…

A: The given series is  2+4/3 +8/9 +16/27+...

Q: x sin¬1 x² dx

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Q: Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its trace on y…

A: The given equation is: -225x2+100y2+36z2=0⇒-x2602+y2902+z21502=0

Q: A) lim x→3−    f(x)= B) lim  x→3+    f(x)= C) f(3)= D) Determine whether the function f is…

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Q: P7: x3 + x – 1 dx J x(x – 1)(x + 5)²

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Q: x5V16x6 – 24x3 + 9 dx -

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

A: Topic:- trigonometry ratios

Q: 8 Find tong 20. 1f (us @=4 and sn e

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Q: 2) xe-X dx 0. A) -Se-7-1 B) -8e-7+1 C) -6e-7+1 D) -8e-7

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Q: Written Works. 1. Find the area bounded by the curve y = x2,y 0, x 1 and x = 2. 2. Find the area…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: 2. lim b.) Caiり→(2)×り - 1

A: Put x=1,y=2,z=3 in the given expression to obtain the answer

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

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Q: sin(x) 1- sin? (x) 3. Evaluate the integral O 2ln|1 - sin2(x)| + C O -csc(x) + C sec(x) + C O None…

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Q: dx 1-Cos r

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

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

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Q: At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

A: Given problem:- At what point on the line y = b does the line segment from (0,0) to (a,0) subtend…

Q: Give a solution to the system -Lis -10. 2 3 - 15 ¤(0) by solving the IVP with initial condition…

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Q: Which of the following is the particular solution of the differential equation dy = e ;y = 1, when x…

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Q: The derivative of a function F(x) is f(x)=4x3. If F(x)= 10, what is the constant of integration? a.…

A: Topic:- function And its antiderivative

Q: (c) cos 27 (d) tan

A: Cos(π/4)= 1/√2= 0.707106781