Describe the graph of the equation. r = 18 sin 27 i+ 18 cos 2t j It is a circle of radius 18 in the xy-plane, with center at (2, 2). It is a circle of radius 18 in the xy-plane, with center at the origin. It is an ellipse in the xy-plane, centered at the origin, with major axis of length 18. It is a parabola in the xy-plane, with vertex at the origin. OIt is a circle of radius 2 in the xy-plane, with center at the origin.

Q: Find T(t) and N(t) at the given point. t x = e¹ cost, y = e¹ sint, et sint, z = zet; t = 0 T(0) N(0)…

A:

Q: 1 1 0.104 = x Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) =…

A: Solution : Given that

Q: c) = = 4x + 1. If the limit does not exist enter DNE. ] lim h→0 ƒ(6 + h) − ƒ(6) h

A: Topic:- calculus

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

A: The solution is given below

Q: 11 described. • f'(2)=0 Use the given conditions to sketch a possible graph of the function f(x)…

A: Given: f(2)=-3 f'(2)=0 f'(x)>0 if x<2 f'(x)0 if x>2 f''(x)<0 for all x Since f'(x)>0…

Q: 8. DETAILS ZILLDIFFEQMODAP11 7.2.017. Use appropriate algebra and Theorem 7.2.1 to find the given…

A:

Q: The function f(x)=x^{2/3} does not satisfy the conditions of the Mean Value Theorem on [-8,8]…

A: To find out the correct option.

Q: Consider the following function. f(x)=√x-4, x>4 What is the domain of f? (Enter your answer using…

A: Here, the given function is: f(x)=x-4, x>4

Q: Find all points of inflection and discuss the concavity of f(x) = x^2 *(3x - 5)^1/3

A:

Q: 1. (ex-y)(1-e²y)¹/² dx = dy

A:

Q: st, enter DNE.) f(x, y) = x² + y² + 4x 10y6 minimum maximum point (x, y, z) = (x, y, z) = (x, y, z)…

A:

Q: 5. Find (In 3) for a solution (y + x² e) dx - xdy = 0; y(ln 2) = 0 (x) to the initial value problem…

A: The given equation is; (y+x2ex)dx-xdy=0; y(ln 2)=0

Q: V. (VXF) =

A:

Q: or Questions 1-3, use the differential equation given by 1. Complete the table of values -1 X y dy…

A: Put value in function

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: If two objects travel through space along two different curves, it is often important to know…

A:

Q: Solve the initial value problem y" — y' — 12y = 0, y(0) = a, y′(0) = 15. - Find a so that the…

A: We need to solve the initial value problem and also need to find out the value of a.

Q: Fill in the blank. (Enter your answer in terms of t.) [ L-1) 1 5²-2) =

A:

Q: Determine the vector field of F. F(x, y) = yi-xj X X

A: Solution: F(x,y) = yi - xj We can sketch it by looking at a small number of vectors to get a general…

Q: II. Consider the function f(x, y) defined for all (x, y) by ƒ(x, y) = 232/32 + 2xy + 4x²y (a) Find…

A: Here we have to find the critical points.

Q: The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. Use linear…

A:

Q: The linear approximation at x = 0 to sin (7x) is A + Bx where A is: and where B is:

A:

Q: ← Screenshot (1913).png + New 0 My Drive Computers Shared with me Recent Starred Trash Storage 7.8…

A:

Q: Which is the center and radius of the circle given by the equation, x² + y² - 6x 10y + 11 = 0?

A: The answer as follows:

Q: (True/False) Suppose the work done by a force F on a particle moving along a path C is given by x,…

A: True.

Q: Give the General Solution of the following Differential Equation 1. (ex-y)(e²y + 1)¹/2 dx = dy

A: We have to find the general solution of differential equation

Q: Find a power series for the function, centered at c. 8 5-x £( n = 0 f(x) = C = 1 Determine the…

A:

Q: -9-8-7 6 5 4 3 C Ce N f 5 w N www T P Mar www ww S d Write an equation for the ellipse graphed in…

A:

Q: A tank contains 400 liters of brine. Twelve (12) liters of brine, each containing 2.50 N of…

A: Given: 400 litres of brine are kept in a tank. The tank receives 12 litres of brine each minute,…

Q: Find curl(4z i+ 5x j + 7y k). curl(4z i + 5x j + 7y k) = ( i )i + ( i )j + ( i )k

A: Topic- Curl of a vector

Q: Find f"(x) for the function. f(x)=(7x^2-2)^6

A: Find f"(x) for the function. f(x)=(7x2-2)6  Derivative of y= (ax2 +b)n  y'= n(ax2 +b)n-1.(2ax)  And…

Q: TE: Use c for the constant of integration. 3 t²54 t + 486 + 9y' +y = 3t² C es utions converge to the…

A: Topic:- differential equations

Q: Find the critical point of the function. Then use the second derivative test to classify the nature…

A:

Q: Convert the given exponential function to the form indicated. Round all coefficients to four…

A:

Q: Determine if 4x² + y = -5 is an ellipse. O Not an Ellipse O Ellipse, we can write the equation of…

A: Here given that 4x2 +y =-5  now  4x2 = -(y+5) x2 = -(y+5)/4

Q: C: boundary of the region lying between the graphs of y = 0, y = √x, and x = 9

A:

Q: Use a surface integral to calculate the area of the disk S given by z = 5 − y that lies inside the…

A:

Q: Find the limit. lim (t i − 4 j + t² k) : = t→8 i i+ i lim (t i 4 j + t² k) t→8 j+ i

A: Given query is to find indicated limit.

Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

A: Given function, f(x)=x2-3x-18

Q: Use logarithmic properties to expand the following logarithm as much as possible into a sum and/or…

A:

Q: Which are the foci of the ellipse represented by 25x² + 16y² = 400?

A:

Q: -4 -2 ora y 8 6 4 2 -2 f(x) = |x| 2 4

A:

Q: Below is the function f(x). 6 5 54 63 2 " 7 6 5 4 3 2 -1 3 27 7 4 4 5 -2- -3 -5- 1 2 3 4 5 6 7 -7…

A:

Q: DETAILS ZILLDIFFEQMODAP11 4.1.002. The given family of functions is the general solution of the…

A:

Q: Consider the following function. y = 6x In(x) Find y'(x). Y'(x) = 6 + 6(in(n)) Find y"(x). y"(x) 6 x…

A: Solve

Q: Find div F and curl F if F(x, y, z) = 10y³zºi – 8x³z¹ºj – 5xy³k. div F= curl F=

A:

Q: 6).  For the sequence, determine if the divergence test applies and either state that lim n→∞ an…

A:

Q: Which of the following represents the graph of (x + 2)² = 4y - 6)? O -83 4 ry 14 11 10 9 8 " 5 4 3 2…

A: The given function is x+22=-4y-6

Q: 1 For r(t) = − i − j + m(1) k - j + ln(t)k and u(t) = t²i − 2tj + k. t d Find [r(1) · u(1)] ²3 +…

A:

Q: Solve: x"-x+ 5 y'=t y" - 4y-2x = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

A: