Find curl (8z i + 9x j+ 10y k). curl(8z i + 9x j + 10y k) = ( i )i +(i j + ( %3D i )k

Q: The sales function for a product is given by S(x) 124 + 37.8x? – 0.6x, wherex represents thousands…

A:

Q: Determine whether the improper integral diverges or converges. 0. -4x xe dx converges O diverges…

A:

Q: The graph of the function f(x) = tan x is given above for the interval x E [0, 27] ONLY. Determine…

A: Given, the graph of the function fx=tanx,   x∈0,2π We need to evaluate the one-sided limit.

Q: y²- 4y + 2x = 0, x = 2 and x-axis

A:

Q: Find exactly T(t) and N() for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct answer.)…

A:

Q: Solve the initial value problem y′′−10y′+50y=0 for y(0)=1 and y′(0)=5. After getting the equation…

A:

Q: 1. Find the derivative of the following. f(x)=13x* -7x²+5x²+11x+75 a.

A: Formulas:ddx(a f(x))=a ddxf(x)ddx(xn)=an xn-1ddx(a)=0;  where a is a…

Q: n-1 (-3)' is convergent or divergent. If it's convergent, b) Determine whether the series 4" n=1…

A:

Q: d d Calculate ri(t) · r2(t)] and [ri(t) x r2(t)] first by differentiating dt dt the product directly…

A:

Q: For the function f (x) = xe¬*: a) Determine the coordinates of the critical point. Use exact values.…

A:

Q: Evaluate the iterated integral. /3 6. y cos(x) dy dx

A: I=∫0π3∫09y cos x dy dx =∫0π3cos(x) ∫09y dy dx  =∫0π3 cos(x) y2209 dx  =∫0π3 cos(x)812 dx

Q: (3x-3) dx (x²-2x+1)(x²+2x+8)

A:

Q: Describe the domain and range of the function. KX, y) = 9x2 - y

A:

Q: (D² + 4)y=12; y(0) = 0 , y'(0) = 2 %3D

A: (D2+4)y=12

Q: Sol V= cotcex) dx /2

A:

Q: What is the equation of the plane that is tangent to the graph of z = x coS y – ye“, when (x, y) =…

A: Equation of the plane tangent to the surface z=f(x,y) :               Let   F(x,y,z) =0 ,then…

Q: Use the following information to answer the question below. lim f(x) = 3 lim f(x) = ∞ lim f(x) = -3…

A: Information of the function is given, we have to find the required values

Q: 4. Find the length of the arc of the curve 6xy=yt +3 from the point where y - 1 to the point…

A:

Q: alluse The g auss elemina fion to find the 2. -3 2. -2

A:

Q: x* +x² 5. lim,-. e* +1

A:

Q: I can't understant the solution :<

A: Let, radius = r Height = h When r = 8, then h = 22. Using this we get a relation between r and h.…

Q: The outside diameter of a thin spherical shell is 12 feet. If the shell is 0.3 inch thick, use…

A:

Q: What is the second derivative of f(x) 2x-3 2 x+1 10 (x+1)* 10 3 (x+1)° -10x+10 (x+1)* 10x-10 (x+1)*

A:

Q: Let f a) Simplity the expression tlath), f() XRt 50C43. Using f loc)

A:

Q: Solve

A:

Q: furt A)APproximate tue area unde hex)=X2 from x=0 to X=2u5ing four rectungles and X=0 a left and…

A:

Q: sin °od 1. 2 (xex* +3x5+3x"-x²dx 2. 3. 6

A: I = ∫0π4sin5θdθI = ∫0π4sinθ·sin4θdθI = ∫0π4sinθ·1-cos2θ2dθ                         1------------Put…

Q: 14) Find aset of parametnic equetians for the rectangular aquetiag d= 4x2 tust Setisfies fue…

A:

Q: Matching Type. Match the functions in Column A with their corresponding derivatives in Column B.…

A:

Q: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, find the…

A: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, then we have…

Q: Find div F if F(x, y, z) = (x² + y) i + z² j + (ey - z) k. 2x - 1 O 2xy i +k O 2x i -k 2хy - 1

A:

Q: Determine the value of the Wronskian W (y1, Y2) of y" – 2y +1 = e2 (x +1) if x=1.3 by using…

A:

Q: 8* – 2* 10. lim, »0 4x

A:

Q: dx хV х2+2х-1

A:

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

A:

Q: 291 pind the cenve over the ginenine fue lengty of ra s(itcos), 0LOS2T

A:

Q: Activity 1.5.3. A company manufactures rope, and the total cost of producing r feet of rope is C(r)…

A: A company manufactures rope, and the total cost of producing r feet of rope is Cr dollars.To…

Q: 5. S (3x-x²)dx x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: integrate (2x + sqrt(x)) dx from 3 to - 6 A. 27 +2√3+4√6 B. 27 + 2√3 C. 27 - 2√3+ 4√6 D. 27-4√6

A:

Q: ||(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 3 r(t) = e10ti + etj

A:

Q: Activity 1.5.3. A company manufactures rope, and the total cost of producing r feet of rope is C(r)…

A: This is a problem related to derivative of the function. For calculating the unit if derivative…

Q: Let f (æ) = (In(z³ + 1))". Find the slope of the tangent line at x = 1. (Give your final answer as a…

A: The slope of tangent to a curve y=f(x) at a point x=a is given by f'(a)

Q: 20) Find two sets f polar coordinetes, (r, o),0LOL2 IT Por the point (6,6) in recten- gular…

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t? + 7 lim t 612 + 7't 1° = (?, ?)

A:

Q: nance. A person wishes to have $27,100 cash for a new car 4 years from now. How much should be…

A:

Q: 1 Find the length of the curve y (x2 + 2)3/2 from x = 0 to x =9. 3

A:

Q: A tank is being filled with a liquid. Z (1), given below, is the amount of liquid in liters in the…

A:

Q: Find the particular solution determined by the given condition. 3) y' = 7 ; y = 20 when x = 1 A) y =…

A:

Q: While standing on a bridge 30.0m above the ground, you drop a stone from rest. When the stone has…

A:

Q: 8 3. y2 = x and y² = 2 – x (Answer: S. U. ) 3 - -

A: Given: y2=x and y2=2-x   Now find the point of intersection between the given curves. y2=x,…