M Question 1. Use the Second Derivative Test to find and classify the critical points of the function f(x, y) = 6xy - x²y - xy².

Q: 1 = [₁² ( ² + ¹ ) dz ₁ Estimate I = dx using n = 4 subintervals and

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

A: The useful formula is: ∫1udu=lnu+C and ∫udu=u22+C

Q: Use the graph of the function f(x) above to complete the following. f(2) is_ OA. Positive OB. Zero…

A: value of the function at x=2

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: Magnitude || v || = 6 || v ||= 10 Direction u = (-3, 3) = (-10,0) u = Answer V = < V = < V

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Q: Consider the following. Find g'(x). g'(x) = g(x): = In(x) - 1 In(x)² X In(x) Solve g '(x) = 0 for x.…

A: NOTE: Refresh your page if you can't see any equations. . the derivative of the function already…

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: 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: J exp (x+3) dr

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Q: e function based on the following headings: domain, x & y intercepts, critical points and intervals…

A: we will find the required.

Q: 2 [dz - dr by computing left-hand and right-hand sums with 3 and 6 subdivisions of equal length. You…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find Vz. 4x (47) NOTE: Give your answer in unit vector notation; that is, in terms of i and j. Vz= z…

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

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Q: Use the graph of the function f(x) above to complete the following f(1) is OA. Positive OB. Zero OC.…

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Q: Write a recursive rule for the sequence. a_(n)=3n-7

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

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Q: Where does the line x = 3 + 1, y = 8 -1, z = 21 intersect the cylinder x² + y² = 121? Enter your…

A: We have to find the coordinates.

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

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Q: Use Newton's method to estimate the one real solution of x + 5x-2=0. St x₂ = (Round to four decimal…

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Q: Find the limit. 17 2 Inx lim (1+2x)" X→∞

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Q: Find parametric equations of the line that satisfies the stated conditions. The line that is tangent…

A: arametric equation of circle.

Q: An object in a room warms at a rate proportional to the difference between its temperature and room…

A: Let Tt be temperature of object at time t and Ts be room tempaerature

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: The given equation is;  3x2+xy+2y2-71=0.

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: Show that (0,0) is a critical point of f(x,y) = x² + kxy + y² no matter what value the constant k…

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Q: 15+ 20 9 A 400 + 20 *How did you becoume this 20 9A 400 0-1503 +0.150-0-0454= -18 How !!! Help me to…

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Q: Find the value or values of c that satisfy the equation the given function and interval. f(x)=√x-5,…

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Q: Given: z = x² + xy²³, x = uv¹+ w²³, y= u + ve" ôz ow Find when u = -1, v = 1, w= 0

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Q: Let (Q) be the quadric surface given by the following equation x² + ² = 9 Then:

A: check the equation

Q: Consider the following piecewise-defined function. f(x) = = x-3 3x + 4 if x -4

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Q: Find the following limit. lim <5t²5t + 2, t→7 answer=< t² - 4t - 21 t-7 2. cos(t) V

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Q: Two sides of a triangle are 14 and 4. Find the size of the angle θ ​(in radians) formed by the sides…

A: we will find the required.

Q: Estimate I (a) Left endpoints. I≈ 5 = √ (4.2² + 4x + 1) da using n = Sº (b) Right endpoints. I≈ 3…

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Q: Find the volume formed by rotating the region enclosed by: y = 5√x and y = x about the line y = 25…

A: Given that  y = 5√x  y = x  about line y = 25

Q: ← Minimize Q=6x² + 3y², where x + y = 9. X= ... y= (Simplify your answer. Type an exact answer,…

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Q: You are given the graph of a function f. 0 concave downward 1 Determine the intervals where the…

A: You are given a graph of a function f. To determine the intervals where the graph of f is concave…

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: A company is going to make open-topped boxes out of 14 x 15-inch rectangles of cardboard by cutting…

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Q: 0 K A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 900…

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Q: dx 3 Assume that x = x(t) and y = y(t). Let y = x³ +7 and 4 when x = 1. dt Find dy dt || dy dt when…

A: given  y=x3+7dxdt=4  when x=1we know d dx(xn)=nxn-1d dx(constant)=0

Q: Consider the function f(x) = x^2 − x −1/2ln(x^2). (a) Find critical numbers and the intervals on…

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Q: A rectangle is inscribed in a semicircle of radius r= 11, as shown in the figure. Find a function…

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Q: A basket contains 8 apples and 12 oranges. Two fruits are drawn with replacement from the basket.…

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Q: 1 Let C = 0 1 a) Find C-1 b) Use C¹ to solve the following system. 1 x + 3y 30 14 - 1 2 = 7 y + 4z =…

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Q: Find the derivative of y = cos The derivative of y = cos 1 5 X 5 X with respect to x. with respect…

A: In this question, we want to find the derivative of the given function.

Q: The population of a town is now 15,000 and t years from now will be growing at the rate 100√t people…

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Q: Mike and John take the same math class. The probability that Mike will attend the class today is…

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Q: Q1:What is the limit of Riemann Sums as the number of rectangles (N) increases toward infinity?

A: Solution: As the number of rectangles (N) in a Riemann sum increases toward infinity, the…

Q: The general form of an antiderivative of the function f(x)=csc(x)(5csc(x)−6cot(x)). is F(x)=

A: f(x)=cscx(5cscx-6cotx)we know∫csc2xdx=-cot(x)+c