Q1. If g = xy — yz — zx and F = x²y ī − 2 y²zī – z²x k, find F. grad g and cross product of F and grad g at the point(1,-1,2).

Q: Determine whether the following equality is true or false. √32-x² ₁ f(x, y)dA = √ √₁xY where D =…

A:

Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, f'(1) = 1, g'(1) = 5. For the following…

A:

Q: 16. Use properties of logarithms to expand log (²₁¹). t14

A:

Q: Calculate the accumulated amount of end-of-month payments of $9,000 made at 5.89% compounded…

A: The given data is: Monthly payement=$9,000Interest rare r=5.89%=0.0589Time t=5 years  Compounded…

Q: Yaster Gadgets manufactures and sells a smartphones per week. The weekly price-demand and cost…

A: NOTE: Refresh your page if you can't see any equations. . the demand and cost functions are where…

Q: The hypotenuse of right triangle is 74 meters long. The difference between the other two sides is 46…

A: We know that for a right triangle , Let hypotenuse is c and other two sides are a and b. Then…

Q: Given that logp q = x 2 and logq p = 1 2x−1 , find x

A:

Q: The region D is bounded by the curves y = 5, and y = 5x². Which of the following can be used to…

A:

Q: Graph the function showing all relative extreme points and inflection points. f(x)=√√√x6 + 4 ++ 2 3…

A:

Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

A: answer is in next step. please give a like !!

Q: Find the function f(x) such that f'(x)=e^(3x)-6x+2 and f(0)=1. Thank you.

A: We need find the function f(x) such that f'(x)=e3x-6x+2 and f(0)=1

Q: III. Improper Integrals. Determine if the following integral is convergent or divergent. If it is…

A:

Q: Sketch the graph of the equation by point plotting. ( y = x + 2 10 0

A:

Q: y = √√2x-5, y = 0, x=4

A:

Q: Q5 a) 100 5² +2³+ [In(Inr)] lim 1+ 7 +6² + [In (In x)] 200 cos x ln(x - *) *-+*+ In (e² - e*) b) lim

A:

Q: II. L' Hôpital's Rule. Evaluate the following limits using L' Hôpital's Rule. 3-x 1. lim 1-3 2-8

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is the area of the region between the curves 3 y = x³ and y = x², from x = -3 to x = -1? Select…

A:

Q: Convert the point (ρ,θ,ϕ)=(6,11π/6,π/2) to Cartesian coordinates. Give answers either as…

A:

Q: Find the absolute extreme values of the function on the given interval. g(x) = x(10-x) on [0, 10]…

A:

Q: Find the following limits (if they don't exist write DNE, ∞ or -∞ as appropriate): Answer: lim x-3 2…

A: We have given to find limit  Let ,  y=limx→3x2-2x-3x-3 y= limx→3x2-3x+x-3x-3 y= limx→3xx-3+1x-3x-3…

Q: Determine whether the sequence is divergent or convergent. If it is convergent find the limit. If it…

A:

Q: A homeowner wants to enclose three adjacent rectangular pens of equal size, as in the following…

A:

Q: an = (1 + ² (1 + 2.6) "

A:

Q: If zis implicitly defined as a function of x and y by xy-yz+xz=0, find dz/dx. (y+z)/(y-x)…

A:

Q: Find the smallest number n of terms needed to obtain an approximation of the series 10-6. Hint:…

A: To find the smallest number of terms needed to obtain an approximation of the series

Q: Find the equation of the tangent line to the graph of the function f(2)=sin(7√) at the point (²,0).…

A: NOTE: Refresh your page if you can't see any equations. . the given point is  so we can take

Q: Relative to the basic function f(x): shifted 3 in which direction? O a) left Ob) down Oc) up O d)…

A: We can answer the question as below.

Q: Identify the surface y − 3 = x² +.

A: Solution: Given data, y - 3 = x2 + z2

Q: an = (1 + 2,60) ² =

A:

Q: Plz

A:

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

A:

Q: A spring is stretched 6 in by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism…

A: Given :The spring is stretched 6 in by a mass that weighs 8 lband damping constant…

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 7 sin(t). The initial…

A: Given: a(t)=7 sin(T) ,Initial velocity v(0)=-6m/s

Q: Find the equation of the tangent line to the curve y = 2x cos x at the point (₂ The equation of this…

A:

Q: Revenue The Better Baby Buggy Co. has just come out with a new model, the Turbo. The market research…

A: Given ,  The Better Baby Buggy Co. has just come out with a new model, the Turbo The market research…

Q: Sketch the graph of the equation by point plotting. y = 5-x² -3 X y -2 0 2 3

A: Sketch the graph of the equation by point plotting

Q: Determine whether the equality is always true -10√x-9 (x-9)² f(x, y)d ydx = ₁ + f(x, y)dx dy. ²+9…

A:

Q: ∞ Σ k=1 23k e-0.38k2 accurate to 10−5

A: We will find.

Q: So (2+7x) et ¹ dx

A:

Q: Compute the general term an of the series with the partial sum Sn = √n, n > =

A:

Q: 1. Answer the questions below and then sketch the graph of the exponential function f(x) = (-)* + 1.…

A:

Q: Graph the function. {# +1₁ 45-5 42 y

A: Consider the function  g(x)=x+1,          x≤-512x-7,      x>-5

Q: Sketch a right triangle corresponding to the trigonometric function of the acute angle 8. sin(8) =…

A: topic- trigonometric ratios

Q: Solve the equation for 8, where 0 ≤ 0 ≤ 2π. (Enter your answers as a comma-separated list.) 2…

A:

Q: y=x² + 8x - 9 -intercept: (x, y) = -intercepts: (x, y) = (x, y) = (smaller x-value) (larger x-value)

A: Given query is to find x and y intercepts.

Q: first order partial derivatives, i.e. dz/dx, dz/dy: xy³. z = In√√xy Z

A:

Q: Find dw/ds and aw/at using the appropriate chain rule. Evaluate each partial derivative at given…

A:

Q: receiving his first income, Juan dela Cruz invested P20,000 in a bank for his future family. The…

A: Given the query is to find growth rate, money after 10 years and time taken to double the amount.

Q: After receiving his first income, Mr. J invested P20,000 in a bank for his future family. The annual…

A: This question can be solved by applying the concept of compound interest.

Q: Find the surface area of the torus generated by revolving the circle given by r = 5a about the line…

A: Given :r=5ar=7bsecθ0<5a<7b