Derivatives 5.1) Find dy/dx

Q: Evaluate CurlF-nds F(x,y,z)=xi+yj + zk, and S: z=√√x² + y²₁ z≤2 and n is outward. S

A: ∬SCurlF⋅ndSwhere F(x,y,z)=xi+yj+zkand S is the surface defined byz=x2+y2 with z≤2,

Q: _. Let ƒ(x) = (x³ + x² + 1)e²³+1 and g(x) = ex³+¹ (a) Draw a rough sketch of the graphs of the…

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Q: You would like to purchase a Tesla Model 3 car for $55000. The average rate of depreciation of the…

A: Initial amount= $55000The average rate of depreciation of the car is 7% per yearFinal amount =…

Q: If cos a = 0.439 and sin ß= 0.944 with both angles' terminal rays in Quadrant-I, find the values of…

A: Formula

Q: J F. dr. (Check the orientation of the curve before applying the theorem.) F(x, y) = (²x + x²y, e²y…

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Q: The equation of the circle (x-1)2 + (y-2)² = 9 can be represented with the parametric equations:…

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Q: 39. f(x) = x³ – 6x² + 9x and g(x) = x² – 3x

A: The region is bounded by the curves  and  .The aim is to find the area of the region bounded by…

Q: مه (ع)f(x)g = Consider C0, 1 with inner product given by (J.9) - 6. 9) of z onto V. (r)g(c) de. Find…

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Q: U.S. Online Video Viewers The number of online video viewers in the United States was growing at the…

A: The number of online video viewers in the United States was growing at the rate ofr(t)=9.045e0.067t…

Q: ast 4 places. Determine the gradient of f(x, y) = e³* sin(2y) at (x, y) = (-3,-2). =e Vf(-3,-2) = (₁…

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Q: When a model rocket is launched, the fuel burns for a few seconds, accelerating the rocket upward.…

A: We have to find the velocity and time from the given graph.First we will conclude information from…

Q: Find the maximum rate of change of the function f(x, y) = 2yª Т at the point (2,3).

A: The given function is  The maximum rate of change of function f(x,y) is

Q: Please show your answer to at least 4 decimal places. Determine the gradient of f(x, y) = e³ª…

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Q: At time, t, in seconds, your velocity, v, in meters/second is given by the following. v(t) = 8 + 7t²…

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Q: a) Find the critical point(s) for the function f(x, y) = 3x² − 2xy + y² −8y. b) Classify each…

A: The given function is; f(x,y)=3x2-2xy+y2-8y

Q: The following relationship is know to be true for two angles A and B:, cos(A) cos(B) + sin(A) sin(B)…

A: Given that,.We know that, .

Q: The graph of f(x) is shown. y 12r tou 4 8 12 16 20 24 28 -8 -4 (b) Use the graph of f(x) to compute…

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Q: Evaluate the definite integral Бул 2 sin (z)dr using Part 1 of the Fundamental Theorem of Calculus.

A: The Fundamental Theorem of Calculus, Part 1,, Part 1, states that If f is continuous on the interval…

Q: Find a formula for the general term a of the sequence, assuming that the pattern of the first few…

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Q: webassign.net Use the given graph of f to state the value of each quantity, if it exists. (If an…

A: By using the graph of  to state the value of each of the following quantity.Note: Since the student…

Q: Find [[ cos (² + y²)dA where D = {(x, y) | 16 ≤ x² + y² ≤ 36}. Round your answer to four decimal…

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Q: Engineering data analysis show solution * There are 8 socks in vour drawer. 5 are black and 3 are…

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Q: Calculate the following limit. Show all your work. 2x²-6 x-√3 lim x√3 →√3

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Q: Use L'Hopital's rule to evaluate the following limit. Enter your work in the answer fields below. If…

A: The given limit is; Limx-0(x3+4x2)/(1-cos(pi x)).

Q: Let f(x) = 2x − 2 and g(x) = 1 – x².

A: Given Function

Q: Time (hr) 0 2 5 6 8 Velocity (mi/hr) 0 15 24 35 45 Estimate the maximum distance traveled in miles…

A: Solution is given below in step 2.

Q: 12. Solve. Show your steps. a) 8²+x = 1 16-3 Text b) log4 256 - log 10 = logx = 20736,

A: a) 82+x=116−3

Q: 7 For the function f(x) = x³ + 3x² find the following (Show your work) (a) Intervals of…

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Q: Find the domain and range of the function. 2 g(x)=√x - 7x

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Q: Newton's method question... 5sin(x)=x x1=2 what is x2 and x3?

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Q: Match each labeled point with its description. 1. f is greatest 2. f is least 3. f' is greatest 4.…

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Q: A car is driving away from the base of an 80-meter-tall building. a. Write an equation relating x…

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Q: Evaluate the indefinite integral as an infinite series. 6 £ ) n = 1 ex - 1 dx 5x 6e(5x") 1-1 ܐܐ…

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Q: Use the properties of limits to evaluate the following limit: T +42+3 lim >C 2² 3

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Q: Suppose that f(x, y) = x² + y² at which 0 ≤ x, y and 1x + 7y≤9. Please enter exact answers 1.…

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Q: 13. The supply function for a certain product is p = S(x)=x²+2x+32 where p is the price in dollars…

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Q: Let z(x, y) = xey where x = t³ & y = 3₁+ 4t. dx dy dz dt dt dt Calculate dx dt = by first finding =…

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Q: r∞ 1 + x x3 J (F) dx

A: The given integral .The aim is to calculate the integral value.

Q: A rocket is launched upward from a cliff. The position s(t) (in meters) of the rocket at t seconds…

A: A rocket is launched upward from a cliff.The position s(t) (in meters) of the rocket at t seconds…

Q: Cosa = 0.074 and cos ß= 0.473 with both angles' terminal rays in Quadrant-I, find the values of…

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Q: Find the value of the Riemann sum Σk-1 f(ck) Vk for the function f(x) = x² + 2 using the partition…

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

Q: Evaluate 1524-423 +7z² dz. Round your answer to two decimal places. ₁524-42³ +7z² dz = [Number

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Q: ∞ (6) Σ sin n 0

A: given series

Q: a) All logarithmic functions have a vertical asymptote b) -loga () = (²) c) Given that a > 0 and…

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Q: Q2-61 The eigenvalues co efficient are : and eigen matrix 6 *²= [² 2 =-=4] x 12 X₁ = 0 g * = [7²³]…

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Q: Evaluate the double integral Z 1 where R = {(x,y) | 0≤x≤ TT, 3 ≤ y ≤ 4} 4 2.5 2-1 1.5 11 0.5 Double…

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Q: (a) Use differentiation to find a power series representation for 1 (3 + x)²· Σ((-1) "3" (n+1)x²¹…

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Q: Decide whether L'Hospital's rule can be applied to each of the following limits. lim, 0 Olim In (3)…

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Q: 20. The quantity demanded (in thousands of pounds) of a Red Farms Butter each week is a contniuouis…

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Q: 1. Another way of writing 5-³ = A. log 1 5-3 125 13 is: B. log-35 = 1 125 C. logs 125 =-3 D. log5-3…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…