Sketch the graph x² 16 a. + 2²=1 4 x² b. 2-2-1 4 16 =

Q: Find a unit vector in the direction in which f(x, y) = 8 - x² - y² decreases most rapidly at…

A: f(x,y)=8-x2-y2

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: y = (x²+8)

A: y=(-x2+8)4  formula used is d dx(xn)=nxn-1

Q: ind the relative extreme points of the function, if they exist. Then sketch a graph of the function.…

A: In this question, we want to find the relative maximum and minimum point of the given function f(x).

Q: Find the absolute and local maximum and minimum values of f(2)=3e2 +5. If there are multiple points…

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Q: Suppose that in the interval 6 ≤ ≤ 18 you know that the graph of y = f(z) falls as you move from…

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Q: F 13-12-11-10-9-8-7-6-5-4-3-2 A 11 10 9 8 7 65 4 3 21 1 -10 -2 -3 -4 -6 -7 -8 -9 -10 -11 -12 1 2 3 4…

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Q: Consida a function that has all of the following properties: Ind w Janga дко for r <2 20 for ملو 9"…

A: Please see the below picture for detailed solution.

Q: Find the angle between vectors →→ →>> →→ à = 37 = 3i- j and b = 2i+j+ 4k to the nearest degree. ,…

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Q: Graph the system of inequalities. x≤2 y≥3-3x Use the graphing tool to graph the system of…

A: x≤2 line x=2     y≥3-3x draw line y=3-3x x y 0 3 1 0 check for orgin y≥3-3x0≥3-3(0)0≥3…

Q: Let ƒ(x, y, z) = x² z and let C be the curve given by r(t) = (6e¹,6√√/2t,6e¯) for 0 ≤ t ≤ 1. Compute…

A: Find ds and then solve the given problem.

Q: 1. A wrench is used to twist a bolt. A force of 60 N is applied in a clockwise direction at 80° to…

A: Torque is the measure of the force that can cause an object to rotate about an axis.

Q: Find f. f(x) = f'(x) = = (x + 1) √x X f(1) = 4

A: Given: f'=x+1x, f1=4 To Find: function f(x)

Q: Let f(x, y, z)= y³z + ln(xy + 1) + ye*. Then the maximum rate of change off at the point A (0, -1,…

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Q: Find Duf at P. f(x, y, z) = 6x²y³z¹; P(1, −2, 2); u = 1+ 2 3 k

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Q: aw Əw at w=f(s³ +1²) and f'(x) = ex. Find - and at əs

A: Given that the two variables function

Q: K Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: etermine where the function is concave upward and where it is concave downward. (Ent g(x) = -x² + 7x…

A: given function is :-g(x)=-x2+7x+1then we have to find the interval in which function is concave up…

Q: Find the area of the shaded region.

A: given

Q: hello, thank you for the help but can you verify the answer.

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Q: Medicine The graph shows the estimated number of milligrams of a pain medication M in the…

A: We have given a graph and we have to find the average rate of change over interval [3,5]

Q: Determine possible values of x and z such that a is perpendicular to b and a is perpendicular to c…

A: We have to determine possible values of x.

Q: Determine which value best approximates the area of the region bounded by the graphs of f and g.…

A: Topic = Area

Q: Blanche has recently inherited $7900, which she wants to deposit into a savings account. She has…

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Q: (a) k=0 (-2)2k+1 3k-1

A: The given series ∑k=0∞-22k+13k-1. We have to find the sum if it is possible.

Q: Find the dimensions of the rectangle with area 169 square inches that has minimum perimeter, and…

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Q: A particle is moving with the given data. Find the position of the particle, s(t). v(t) = t²-6√t,…

A: v(t) = t2 - 6√t and s(4) = 8  We have to find s(t)

Q: Solve the separable differential equation dx 1 = x² + dt 49 and find the particular solution…

A: dxdt=x2+149 ; x0=1

Q: Determine which value best approximates the area of the region bounded by the graphs of f and g.…

A: Solution: So. the intersection point is x+3=(x-3)2 x + 3 = x2 +9 -6x x2 +9 -6x -x -3 =0 x2 -7x…

Q: Solve the system of equations by using the inverse of the coefficient matrix of the equivalent…

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Q: Consider the system -3x1+3x2+x3=2 3x1-2x2+x3=2 -2x1-2x2-3x3=-1 (a) Find the reduced row echelon…

A: We need to solve system of equation using RREF method.

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A: The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 1/128…

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Q: 1) Lines I, n and m are parallel. Find the measures of angles a through e. a = b= C= d= e= 2) Find…

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  the given points…

Q: Evaluate the limit 9 lim (e-¹₁ + e²j + ₁ ² 4k) ‚ t→0 Enter your answer in i, j, k form. Note: You…

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Q: 2

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Q: Time spent running (minutes) 0 15 30 45 60 75 Speed (mph) 11 9 7 5 5 0 Shown in the…

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Q: Use l'Hôpital's rule to find the following limit. lim (In 5x - In (x + 6)) X→∞ lim (In 5x - In (x +…

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Q: 2. Let f(x) = x² +2 . It can be shown that f 2x+1 f'(x) = 2x² + 2x2-4 (2x+12² T Answer the following…

A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: A woman 6 ft tall is standing near a street lamp that is 13 ft tall, as shown in the figure. Find a…

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Q: A cylinder is inscribed in a cone as shown in the figure. The radius of the cone is 2 inches and the…

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Q: Select the expressions that are equivalent to 7(q+5)

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Q: Find the linear approximation of f(x,y) = 8 - x² − 3y² at (2,2). Then use the approximation to…

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

Q: Blood flowing through an artery flows faster in the center of the artery and more slowly near the…

A: The solution is shown in step-2

Q: Find the area of the shaded region. y=0 square units y 9|2 9|2 y=x√√9-x² y=0 3 - X

A: Area

Q: X lim -In xx 4 lim x→0+ 5x – ln(x) 4x e ¹x 4 7 (1-1) lim x 0+ x - lim x→0 sin(5x) - 1 8 e2x - 1 lim…

A: there are seven indeterminate forms : 0/0, 0×∞, ∞/∞, ∞ −∞, ∞0, 00, 1∞

Q: Find the most general antiderivative. (Use C for the constant of integration. Remember to use…

A:

Q: A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it…

A: Given :   Area= 1500000 ft2

Q: Find the derivative of y with respect to x. 1 ( 16 ) y = In x√√x+6

A: The function is given by y = ln1xx+6 To determine: The first derivative of the function.