Find the critical points of the function f(x, y) = √√√x² + y² + 4. List your answers as points in the form (a, b).

Q: 0 ven ₁ = 10 9 -8 (:). -8 compute the cross products as listed. -5

A:

Q: Draw the region(s) of integration and write the following integrals as a single iterated integral. […

A: Given :- ∫01∫0y2fx,ydxdy+∫1e∫lny1fx,ydxdy

Q: Use Implicit Differentiation to find f'(1/4) at (1/4 , 1/4) where y=f(x) and sin^2 (pix) +…

A:

Q: b) Compute the angle in Radians between ₁ and ₂ Round your answer to 3 decimal places.

A:

Q: Differentiate the function. R(q) = 7 lnq

A:

Q: Please find the area of a triangle with vertices (1,0), (2,2), (3,1) using integration Using this…

A:

Q: The distance from the point (1, -1, 1) to the point (-3, -3, -3) is 3 AO 5 BO 4 CO 6 DO

A: Solution: Given coordinates are

Q: We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10…

A:

Q: 0 KIT √1+tan² x dx|

A:

Q: Find the direction N from P0(1,2) in which the function f=1−x^2−y^2 increases most rapidly and…

A:

Q: Use reference angles to evaluate sec (137). Enter the exact answers. For the number 7, either choose…

A: Given sec13π4

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: The pressure is =24.774 atmospheres

Q: Prove that the answer for (y + 2x) dy + dx = 0 is: x=-y-+²e-²y

A: I am attaching image so that you understand each and every step.

Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

A: As per our guidelines we can answer only 1 question, so kindly repost the remaining questions…

Q: Find a unit vector n that is normal to the surface 4z² x - 2y = 46 at P = (2, 1, 4) that points in…

A: See this solution in below

Q: Find f"(x) for f(x) A) D) -42 x7 -42 7 x6 = B) F) 294 x8 -294 C) - -7 F)-

A:

Q: Find the maximum rate of change of f(p, q, r) = arctan(pqr) at the point (2, 6, 2).

A:

Q: Which ordered pair is in the inverse of the relation given by x2y + 5y = 9      A (2,1) B (-2,1) C…

A:

Q: SX IF X <1 Let F(X) = (^(X-2) IF XZ1 a, Find Limx→1¹ and lim x⇒ F(x) b. does LIM X→1 f(x) exist? C,…

A:

Q: Find the limit of the following. lim 848 2 (√9x² + 3x - √9x² - 2x)

A:

Q: IV. Given the functions f(x) = 2x+5, g(x)=x² - 6x +7, and h(x): = the following. Show complete…

A: Given, f(x)=2x+5, g(x)=-x2-6x+7, h(x)=3-6xx-4

Q: Find the gradient of f(x,y,z)=xyz2. ∇f=_______ i+___________ j+______________ k

A: Given, f(x,y,z)=xyz2

Q: •ffe -32²-3y² dA; R= {(x, y)\x² + y² ≤ 4, x ≤ 0,y>0} R 4. (Section 16.3) Evaluate

A:

Q: 1. g(x)= 3tan 3x

A:

Q: and the radius and center of the sphere. [Hint: Complete the square in each va x² + y² +z² - 4x-8y =…

A:

Q: Find the derivative of y with respect to t: y = sec¯¹ (9t5 + 8). dy dt

A: Given; y=sec-1(9t5+8).

Q: Determine all points P at which the tangent line to the curve given parametrically by x(t) t³ - 6t,…

A: NOTE: Refresh your page if you can't see any equations. . the given parametric curve is

Q: Find two positive numbers that satisfy the given requirements. (Enter your answers as a…

A: NOTE: Refresh your page if you can't see any equations. . the first positive number is x and the…

Q: ft³ Water is draining from a right circular cone-shaped funnel at a rate of 0.03 The height of the…

A:

Q: Write an equation for a function that has a graph with the given characteristics 8. The shape of y…

A:

Q: Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to…

A: This question can be solved using the concept of application of derivatives and  integration.

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: Here we have to differentiate the function.

Q: The dye dilution method is used to measure cardiac output with 2 mg of dye. The dye concentrations,…

A:

Q: Find f'(x) using the QUOTIENT RULE if f(x) = 6-2² 3+x² f'(x) = Find f'(4). f'(4) =

A:

Q: The region A enclosed by the line y the graph of the curve given 1 t is similar to the shaded region…

A: Given

Q: 10. Refer to the figure and find the volume generated by rotating the given region about the…

A:

Q: Solve the polynomial inequality by graphing. -x(x + 1)(x - 1)(x - 3) > 0 410- 15- $30 (-1,0) U…

A:

Q: d) Compute the angle in Degrees between ₂ and №3 Round your answer to 3 decimal places. Compute the…

A:

Q: Each of the graphs of the functions in Exercises 17-24 has one relative maximum and one relative…

A:

Q: 4. A farmer has 80 hectares of his farm available for planting maize and cabbages. He must grow at…

A: Total land= 80 hectares  Let, a hectare for maize and b hectare for cabbage.

Q: An airplane is flying at an elevation of 6000 feet directly above a straight highway. Two motorists…

A: I am attaching image so that you understand each and every step.

Q: 8. y = cos(x + y) = ysin(x)

A: derivative

Q: Factor the following expression completely given that one of the roots is -6: w³+1w² - 44w - 84 =

A:

Q: and the condition y(0) = 1. y(t) = e^(t^2)(1+2t^3) dy dt -2ty=-61²e¹²

A:

Q: Find the volume of the solid generated by revolving the region about the y-axis. The region in the…

A:

Q: properties. 19. Both the function and the slope increase as x increases 20. The function increases…

A: To draw the graph of a function with given characteristics.

Q: Use a graphing utility to graph the function. (Select the correct graph.) 8|x| x + 7 O -40 -40 f(x)…

A:

Q: Evaluate the integral by interpreting it in terms of areas. L₁ (5+ √1-x²) dx

A:

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A:

Q: 2. Find the limit of the sequence defined by an = wit 1+ 71 2 n don

A: