Question 5 Evaluate: a. 40 O b. 30 O c. 20 O d. 10 SS (3x²+9y²) dxdy 0 0

Q: Evaluate the integral. Check your answer by differentiating. (Remember the constant of integration.)…

A: ∫( x3 - 9x2 + 4 )dx Formula used ∫xndx = xn+1n+1 + C

Q: Suppose that f(x, y) = 4x + 4y at which {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4} D Then the double integral…

A: The given function is: f(x, y)=4x+4yD= (x, y) | 1≤x≤2,  x2≤y≤4

Q: Find the curvature and radius of curvature of the plane curve at the given value of x. y = 5x - ,…

A:

Q: Consider the vector field F = • /. F F. dr along the curve C: F(t) = 3 cos(t)i +3 sin(t)], 0≤t≤ 1…

A:

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x =…

A:

Q: Find the curl of the vector field F = (4y cos(x), 2x sin(y)) curl F = Calculator Check Answer

A: F¯=4ycosx, 2xsiny

Q: dy 2. + dx у >IX = бу

A:

Q: Which polar coordinate pair labels the same point as the one shown below? (-5,0) Select all that…

A: Polar coordinates system.

Q: sin COS CSC cot 349 T 720 223 T 500 40 a. b. 1.171 0.048 C. 0.383 d. 1.015

A:

Q: • To calculate an inverse function, you need to solve for r. Here, you w would start with A-2 m2 +16…

A: NOTE: Refresh your page if you can't see any equations. . the area of the cylinder is given by the…

Q: Question 2 11= S™ L ²² 0 X Let I= siny dydx. y 7-

A:

Q: = Find the volume of the solid bounded below by the circular paraboloid z = 8 - x² - y². the…

A:

Q: = The region D above lies between the two red lines and the red parabola y describe in two ways. 4…

A:

Q: 3. (D3 + 4D24 9D + 10)y = -24e* when x = 0, y = 0, y' = -4, y" = -10

A: D3+4D2+9D+10y=-24ex

Q: Find the principal unit normal vector N for the curve r(t). r(t) = (8 sin t)i + (8 cost)j + 8k

A:

Q: Use the Divergence Theorem to calculate the surface integral F(x, y, z) = (x3 + y³)i + · (y³ + z³)j…

A:

Q: Use the ratio test to determine whether the series is convergent or divergent.

A: To solve the following

Q: Find the mass of the solid bounded below by the circular paraboloid z = x² + y² and above by the…

A:

Q: tered at x = 0 and then give the first 5 nonzero terms of the power serie f(x) = T 9x8 + 1 T (Give…

A:

Q: Replace the Cartesian equation x-y-19 with an equivalent polar equation. The equivalent polar…

A: Given the cartesian equation is x-y = 19. We have to convert it into an equivalent polar equation.

Q: The wind-chill index (in degrees C) is modeled by the function W = 13.12 +0.6215T-11.37v0.16…

A: The wind-chill index (in degrees C) is measured by the function…

Q: 5.3.1. If f R→ R is continuous, find F'(x) for each of the following func- tions. a) b) c) d) F(x) =…

A:

Q: Solve the ODE equation ✓² +3Y²_4Y = 4 cos 3t, where you = 1 and Y'(0) = 3

A: NOTE: Refresh your page if you can't see any equations. . write the auxiliary equation for the…

Q: The vector parametric equation for the line through the points (2, −5, 5) and (3, −5, −4) is L(t) =

A: Given that the points on the line are (2,-5,5) and (3,-5,-4).  Here we have to find the vector…

Q: Find d ſf (x + 4y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0}

A:

Q: . Find the equation of the tangent to the curve y = In(2x+1) at the point where x = 0.

A:

Q: Use the indicated substitution to evaluate the integral. 5/2 [5²2 x² √ 25-x² (Give your answer to…

A:

Q: 3x-y BLACK 15+ 10

A: 3x-y<-1   y+3≥x2

Q: h=1 3-7 Sh Use the limit Comparison test, comparing it to the series. 1-4 Zrn where r= ? n=1…

A: NOTE: Refresh your page if you can't see any equations. . use the comparison test Let  0≤an≤bn If…

Q: 4 Find the direction where f(x, y) = xey z and that rate of increas Clital) to increases the Mogu at…

A:

Q: 11) Find the smallest number n of terms needed to obtain an approximation of the series 5 K4…

A:

Q: Verify the identity. tanh²(x) + sech²(x) = 1 First, use the definitions of the hyperbolic functions…

A: To verify.

Q: Let v = (2, (2, 3, 2) 3,

A:

Q: For the following indefinite integral, find the full power series centered at x = 0 and then give…

A: The given integral is ∫tan-1(7x)xdx

Q: √ √ Find • LOVE ¹ [** [V** rysin(x² + y²) dedy

A: ∫02π3∫05π6xysinx2+y2dxdy

Q: 3. y' + y tan x + 1 = 0

A: Firstly find integrating factor and then General solution.

Q: Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we…

A:

Q: Find the surface area of the part of the plane z = 3 + 5x + 4y that lies inside the cylinder x² + y²…

A:

Q: Question 6 19 T Which angles are coterminal with an angle with a measure of 36 radians? Select all…

A:

Q: 1. Compute the dot product between the vectors (2,1,-1) and (-1,1,-1). Are the vectors orthogonal?…

A:

Q: The integral that represents the length of the curve y = x7/2, where 1 ≤ x ≤ 4, is the following: 1…

A:

Q: Sketch the region enclosed by the curves x - 6 = 2y and x - 10 = (y-2)², and compute its area. A =

A: Here we have to find the area of the region enclosed by the curve x=2y+6 and x=(y−2)2+10:-

Q: nd an equation for the line tangent to the curve at the point defined by the Py at this point.…

A:

Q: Use Green's Theorem to evaluate Si Fnds, where F =(√x + 5y, 2x + 5y) C is the boundary of the region…

A:

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

A: We first need to write all the data÷

Q: tan ¹(1/√3)

A: Given inverse trigonometry function tan-1( 13 )  for this expression we can find both general and…

Q: Find the surface area of the helicoid (spiral ramp) with vector equation r(u, v) = = (u cos v, u sin…

A: ∫a2+x2 dx = xa2+x22+12sinh-1(x) .

Q: a = 34, b = 69, a = 74°

A:

Q: Determine if the series converges or diverges. Discuss/prove how you arrived at your conclusion and…

A:

Q: Find the absolute maximum and minimum of f(x, y) = 1x + 2y within the domain x² + y² ≤ 5 1. Absolute…

A: