Use spherical coordinates to evaluate the mass of a solid given by the integral below: 2 To LT SVET z² dzdxdy

Q: Find all x-intercepts and y-intercepts of the graph of the function. 2 f(x)=1³-1²-9x+9 If there is…

A: We will solve.

Q: (5). a. The length of one side of a square tile is 1½ feet. Determine the area of the tile in square…

A:

Q: The given family of functions is the general solution of the differential equation on the indicated…

A:

Q: Determine whether the vector field F is conservative. F(x, y, z) = ye²i + zexj + xe k conservative…

A: We have to check if F is conservative or not.

Q: Consider the following second-order differential equation. 3y" + 2y' + y = 0 Find all the roots of…

A: We have to find the general solution.

Q: Find the points on the graph of the function that are closest to the given point. F(x)=x², (0, 9)…

A: f(x)=x^2, (0,9)

Q: The tank shown is full of water. 3 m E. 8m 3 m (a) Find the work required to pump the water out of…

A:

Q: A vector with magnitude 9 points in a direction 160 degrees counterclockwise from the positive x…

A:

Q: Find the equation of the tangent line to the curve at the given point using implicit…

A:

Q: 9 (4) Giver Sifon dx = 37 g(x) dx = 16 So Find S (2 f5r1 + 3 ger)) f(x) dx and

A:

Q: For the differential equation y(n) + p₁(t)y(n-¹)+...+Pn(t)y = 0 with solutions y₁, ·, yn Abel's…

A:

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A:

Q: Express the number –2 in the form R(cos(0) + i sin(0)) = Re where R> 0 and 0 ≤ 0 ≤ 2π. NOTE: Enter…

A:

Q: Əw Find Ət using the appropriate Chain Rule for w = x² + y² + z² where x = 10rsin(s), y = 10tcos(s),…

A:

Q: 8 9 10 11 e centroid of the region displayed in the graph.

A: Topic:- Geometry

Q: Use this to find the equation of the tangent line to the parabola y = 3x² - 2x + 7 at the point (-2,…

A:

Q: QUESTION 2 a) Evaluate the area of a region that lies inside the circle x² + (y-3)2 = 9, but outside…

A:

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = √√√x, 3≤ y…

A:

Q: Use the equation Σ x" for [x] < n=0 (Express numbers in exact form. Use symbol 6 1 - x4 Σ 1 1-x Σ…

A:

Q: the artery, Artery = distance of dv dt x mm per sec per yr R ne blood from the center of the artery,…

A: topic:- application of derivatives

Q: Write an exponential formula of the form f(t) = a b' to represent the following situation. Assume t…

A:

Q: If f(x) = = f'(x) = 3x (sin x + cos x), find f'(x). Evaluate the derivative at x = 4. Enter an…

A:

Q: So if I write the position vector r(t)=OP=, is it correct? or does it has to be r(t)=<x,y,z

A: Solution is here

Q: Question 1 [ 1 a. [ Use the method of multipliers to find the extreme value(s) of f(x, y) = x² + y2…

A:

Q: For function f(x, y) = 5- | 2 E find the maximum value of the directional derivative at (3, 2).

A:

Q: Find all real zeros of the function. f(x) = -5x (1²-16)(x-2) If there is more than one answer,…

A:

Q: Find the exact length of the polar curve. r=0², 0≤0 ≤ 6π

A:

Q: Use a graph to find approximate x-coordinates of the points of intersection of the given curves.…

A:

Q: Sketch the region R and evaluate the iterated integral -1.0 O [²L²¹²- -0.5 (12x+8y) dy dx y 3 £₁ […

A: We can evaluate the given integral by using the integral formulas.

Q: The following chart shows student population in a certain elementary school over a 5 year period.…

A:

Q: The equation implicitly defines as a function of t. Find dr dt da dt 11 2 cos (6 x) = -8

A:

Q: Use Green's Theorem to evaluate the line integral. √y² dx + xy dy C: boundary of the region lying…

A: We have to evaluate the integral.

Q: Express the number as a ratio of integers. 1.325 1.325325325.... -

A:

Q: 8²f Let f(x, y) = cos(xe¹²) + cos(x + ey²), find əxəy O a. O b. O C. O d. -2yey² (sin(xe¹²) - x…

A:

Q: Determine the region R in the xy-plane that minimizes the value of JJ (x² + y² - 8) dA. OR={(x, y):…

A:

Q: Step To sketch the graph of f(x) = 4x - x², first construct a table of values by evaluating the…

A:

Q: the Factor Theorem to determine whether x+2 is a factor of P(x) = 2x² + 3x² +4. cifically, evaluate…

A: Here given that x+2 is factor of p(x)  so according to factor theorem x+2 is the factor of p(x) then…

Q: Draw a slope field for dy/dx= -6x^2/y.

A: we have to draw a slope field for dydx=-6x2y

Q: Evaluate the limit. 1-x² lim *+1 sin(27x) a) lim b) x+2x² C) lim - - 2x *→(π/2)- (2-) tan r Show all…

A:

Q: xy³ lim (x,y) (0,0) x²+2y6, O a. Does Not Exist O b. Infinity О с. 0 O d. 1/3 =?

A: limx, y→0, 0xy3x2+2y6

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? (fg)' =…

A:

Q: -1 O -5 -10 -4 2, IP 2 IP 3 4 10 5 X X -1 y 10 -1⁰ IP 2 3 4 X -5 -4 -3 IP -2 -1

A: Topic:- application of derivatives

Q: Evaluate the triple iterated integral. LLL Jo π/4 6 6-r rz dz dr de

A:

Q: Find the power series for f(x) = 123 (1 − x4)² in the form Σ an. n=1 Hint: First, find the power…

A:

Q: Question 19 -6 -5 -4 -3 -2 구 -2 244 1 + -2 -3 -6- -7 k(w) Find an equation for the graph above.…

A:

Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y) = x²…

A: Here we have to use the concept of gradient

Q: Y₂ = 1/² { Ур 1+cos 2x D²+1 Уp = Ур { Т Ур - D2+1 y, = + { +++ 1 + +7c0$ 2+} D=+1cos +++cos 2x} -4+1…

A: This is aproblem related to differential equation. Based on concept of particular integral we will…

Q: Write a polar equation of a conic with the focus at the origin and the given data. parabola,…

A:

Q: Evaluate the integral using the following values. 8 [³x x³ dx = 1,020, 2 [²x dx '8 8 L³x dx - 30,…

A:

Q: ƒ(x) = (x³ – 4x) 10

A: Solve the derivative