Find the maximum value of f(x, y) = -7x²+2x+4y² +4 on the region x² + y² ≤ 25. Enter an exact answer. Provide your answer below:

Q: | r - 1 dr

A: To evaluate the given integral.

Q: Use the arc length formula to find the length of the curve y=√16-x²,0 ≤ x ≤ 4. Check your answer by…

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Q: 1. The distance travelled by a model train over a bridge is described using the formula: t² 8 d(t) =…

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Q: K Total personal income of the country (in billions of dollars) for selected years from 1957 to 2002…

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Q: Solve the equation. (Give an exact answer. Do not round.) 52-8- 2x-7 6 x= 41/3 X

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Q: Consider the function f(x): this interval. = on the interval [3, 10]. Find the average or mean slope…

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Q: (1) Check that y = ½x²+x+3 satisfies the differential equation d½ = x + 1.

A: Topic- Differential equation We need to check whether y=12x2+x+3 satisfies the differential equation…

Q: 11-20 Find dy/dx by implicit differentiation. 11. x² + y² = 100 12. x³ + y³ = 3xy² 13. x²y + 3xy³ -…

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: The function f(x) = 2 + 6x + 54x has one local minimum and one local maximum. This function has a…

A: The given function is: fx=2+6x+54x-1   First, we have to find the critical point by solving f'x=0.…

Q: The Total Revenue is increasing when the demand is inelastic and the price is increased slightly.…

A: Given data÷ The Total Revenue is increasing when the demand is inelastic and the price is increased…

Q: Find the directional derivative of f(x, y, z) = 2³ ay at the point (-5, 1, 1) in the direction of…

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Q: Given y = f(u) and u = g(x), find (1) × ² y=9u-2,u= dy dx = f(g(x))g'(x).

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Q: ax-1 = 81 solution set =

A: Given query is to find the value of x.

Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = 6t² – 24t +…

A: Given : vt=6t2-24t+18 we know that when particle is moving to right v(t) > 0

Q: A particle moves along the x-axis so that at time t≥ 0 its velocity is given by v(t) = 6t² − 24t +…

A: We have to determine the intervals when particle is moving right.

Q: Find the half-life of a radioactive substance if 220 grams of the substance decays to 190 grams in 5…

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Q: Answer

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Q: Determine whether the equation x² + y² + 2² − 8x + 4y + 2z -4 = 0 is a sphere, a point, or a null…

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Q: Factor the polynomial and use the factored form to find the real zeros. (Enter your answers as a…

A: Here we have given a polynomialp(x)=x4-3x2-4. Now let x2=t ⇒p(t)=t2-3t-4 Now using the Quadratic…

Q: Suppose that the function graphed below is f'(x), the derivative of f(x). Find the locations of all…

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Q: Find the derivative y'(x) implicitly for the equation y' (x)= 9x+8 V = 2x + 1³.

A: The given equation 9x+8y=2x+y3 We have to find the derivative using implicit derivative.

Q: Give your final answer in interval notation. Find (by hand) the intervals where the function…

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Q: 7. Let f(x, y) = 2, where x = 2 cos u and y = 3 sin v. Find fu(x, y) and f(x, y) and y exprees them…

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Q: The answer wasnt correct

A: Given; f(x,y)=xy, point (-4,-1) and direction is <-3,-5>.

Q: Solve the initial value problem. Chapter 6, Section 6.2, Go Tutorial Problem 16 Find Y (s). Y(s) =…

A: We have to find the Y(s).

Q: ? Question Suppose a product's revenue function is given by R(q) = 4q² + 600q. Find an expression…

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Q: What initial investment at 7% compounded continuously for 9 years will accumulate to $70,000? (Round…

A: We have to find the initial investment at 7% compounded continuously.

Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

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Q: Use the chain rule to find First the pieces: ow dr Ow მყ dw dz dr dt dy dt dz dt Now all together:…

A: The objective is to solve the above question.

Q: the area of the les triangle Te with 1,3), R(2, 4, 62 SC1F-1,9). 1

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Q: A homogeneous function is one such that f(tx, ty) = ta f(x, y) for some a. (a) Show that f(x, y) =…

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Q: Find the value of c so that the equation lim x →-1 Oc=4 O c=1 Oc=-2 Oc==3 sin(x²–2x+c) x+1 = - 4…

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Q: For the given cost function C(x) = 12100 + 300x + x² find: a) The cost at the production level 1200…

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Q: Suppose that you can calculate the derivative of a function using the formula f′(x)=4f(x)+5x. If the…

A: Using derivative

Q: Find the equation of the tangent plane to the surface z = cos(5x) cos(6y) at the point (2π/2, π/2,…

A: The equation of the tangent plane to the surface ?=?(?,?) at the point (?,?,?(?,?)) is…

Q: First the pieces: dz dx 8z dy da dt dy dt Use the chain rule to find dz dt || || || End result (in…

A: To find derivative of z.

Q: Let f(x) = 4ln(x). Then f'(x) is and f'(7) is f''(x) is and f''(7) is

A: Given query is to find indicated derivative.

Q: Find the inverse Laplace transform L-¹{F(s)} of the given function. 12 s² + 16 Your answer should be…

A: To find the inverse Laplace transform L-1Fs of the given function.Fs=12s2+16

Q: ✔ BOTTOM LINE QUESTION Find the antiderivative tan* tdt.

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule

Q: Please show your answer to at least 4 decimal places. 4x Determine the gradient of f(x, y) = e¹*…

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

Q: If n=600 and p (p-hat) =0.93, find the margin of error at a 99% confidence level Give your answer to…

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Q: 3 x³ - 2-x. If ƒ (4) = 6 and dy = (f(u) +3.x)² an and u= x -2 = 18 when x = 2, find f'(4). Let y =

A: NOTE: Refresh your page if you can't see any equations. . . take derivative

Q: Find f'(x) for the function f(x) = ²+4 ²-4

A: Find the derivative of the function,  f(x)=x2+4x2-4

Q: Find the derivative y'(x) implicitly for the equation y'(x)= 2 3y -4y 3 5+2y +4x X 4x + 5 y = 3x+p².

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Q: lim x→0 tan(2x) - 2x x3

A: Topic = Limits

Q: Suppose the second derivative of f(x) is given by f" (x) = 35x¹ (x+6)5 (x² + 9). Determine the…

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Q: BOTTOM LINE QUESTION Find the exact area under the curve f(x)=x²e* from x=0 to x=2. Show your work…

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

Q: Find the partial derivatives of the function fz(x, y) = fy(x, y) = 1 f(x, y) = 4x 2y 1x + 2y 1

A: Given: Now, fx(x, y)=∂ ∂ x4x-2y1· x+2yTreat y as a constant             =∂ ∂ x4x-2y1· x+2y-∂ ∂ x1·…

Q: 6x Find the derivative of h(x) = 2 h'(x) = 36log, (x) 6

A: Topic:- application of derivatives

Q: In the previous Problem Set question, we started looking at the position function s(t)st, the…

A: Consider the position function s(t)=e5tsin(7t)   Formula  v(t)=ddt(s(t)) Product rule of derivatives…