Find the partial derivatives of the function dw Or dw dw Ot W= √√2r² +58² +4t²

Q: x 1 3. Bauh. Bd. J... A Xdy. (X² 3y).d.x.=... Jo 2 ....................

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Q: af af 6. Find and where f(x,y)=√√/24 - x² - 2y². Interpret the value of fx (2, 2) in əx ду two ways…

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Q: Find the equation of the line tangent to the curve -2x² - y5 + 3x + 6y = 6 at the point (1, 1).…

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Q: Consider the function f(x) = 3x² - 2x +9, 0≤ x ≤ 10.

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Q: Write the function below in the form y = f(u) and u = g(x), then find y = cos (csc x) What are the…

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Q: Compute the derivative of the given function. sin ¹(³+4) O O O d dx d dx d dx [sin ¹(x³ + 4)] = [sin…

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Q: Give two other polar coordinate representations of the point, one with r 0. (r, 0) = = (smaller…

A: Topic - Cartesian coordinates to polar coordinates we are given x=-5 ,y=0we know…

Q: Evaluate the triple integral. III TV where G is the rectangular box defined by the inequalities T…

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Q: Suppose that f(x, y, z) = x²yz - xyz³ is a function of three variables. 1. Find the gradient of f(x,…

A: The objective of the question is determine the gradient at  a point and directional derivative at a…

Q: If f(x) f"(2) = x2 4 + X find ƒ”(2). x

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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: 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 equation of the line tangent to the curve 8x4 + 8y² = 16 at the point (1, 1).

A: To find the equation of the line tangent to the curve 8x4+8y2=16 at the point 1, 1.

Q: What is the result of multiplying out (2x − 7)(Ax² + Bx + C)? • Your answers should contain capital…

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Q: Find the exact arc length of the curve over the stated interval. 1 1 x==y+y from y = 1 to y = 2…

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Q: 8.) What is the 20th derivative of y=sin(2x)?

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Q: Find the first partial derivatives of x - y x+y f(x, y) = af -(1, 1) = д х of ду -(1, 1) = = at the…

A: Concept: Let's say we have a function f(x, y) that depends on the values of two independent…

Q: Assume that f (x) and g(x) are both differentiable functions for all x. Find the derivative of h(x)…

A: Given h(x)=f(x)·g(x)2

Q: Let Y represent the profit (or loss) for a certain company X years after 1975. Based on the data…

A: We have given model Y=-0.68X+21.75 To get profit in 1993 Put, X=1993-1975 =18 So, Y=-0.68×18+21.75…

Q: Given the function 8(x)=. 2 3 Which of the following will lead to the solution of the domain of…

A: Here is the solution:

Q: Find the inverse transform of the given function of s. 5 F(s) == / A There is no correct answer from…

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Q: Consider the function f(x) function on this interval. = The smaller one is and the larger one is…

A: Given function:- fx=2x3-5x

Q: The function is neither increasing nor decreasing. (x)=x+5x+3 O False

A: Topic:- function And application of derivatives

Q: e 13 X-1 =(e)x Solution set 11

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Q: The function f(x) = 2x³ − 33x² + 108x - 7 has two critical numbers. X = (enter the values separated…

A: Topic- Application of derivatives We are given, f(x)=2x3-33x2+108x-7we know that critical numbers…

Q: 3. Given the function f(x) = -log₂ (x + 1)-2. Do the following. a) Determine the parent function and…

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Q: Given the function (fog)(x) == and g(x)=3+√√x, which of the following is the expression for /(x+2) ?…

A: Topic = Function

Q: Find the first partial derivatives of f(x, y, z) = z_arctan =; Caution: ay/bx and ay/(bx) are very…

A: The given function fx,y,z=z arctan-4y3x We have to find its first order partial derivatives.

Q: Determine where the graph of f(x) = 2x³ + 27x² − 45x-60 is concave down. f(x) is concave down where…

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Q: -3x+6y = 9 x-2y = -3

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Q: List all the primes between 20 and 40 in increasing order (in the form 2,3,5,7,9,11). A/

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

Q: -9 -8 (-inf,) -7 -6 -5 -4 -3 a. Select an x-value in the first interval, (-∞, - 2/2 ): -2 -1…

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Q: 9 Find the with a area of the parallelogram Verticles vertices; PC0,0,0), QC3₁=3₁-9), R (3₁-1₁-²5)…

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

Q: Q3 Calculate the area of the shaded region in the given figure y Focus point Parabola curve P- 2p 8p…

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Q: Between 2000 and 2010, the use of opioids was exploding in the USA. We use MME (Morphine Milligram…

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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: 50. y = x¹/x

A: To find : Derivative of the function y=x1x Take logarithm to both sides, we get logy=1xlogx …..(1)

Q: (5+51)³

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Q: Find all of the following for the function y = x¹ ex a. x-intercept(s) b. y-intercept(s) C.…

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Q: Graph the following in polar coordinates (a)  3<r<5,    2π/3≤θ≤4π/3  (b)   r=−8sin⁡θ , Label at…

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Q: A company that produces cell phones has a cost function of C = 5x² - 155x + 6619, where C is the…

A: Given query is to find the number of units need to be produced to minimise the cost.

Q: Calculate g(b) and g′(b) where g(x) is the inverse of f(x)=(5)/(x+2), where b=5/6.

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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: Find an equation of the curve that passes through the point  (0, 2)  and whose slope at  (x, y)…

A: Topic = Differential Equation

Q: 1. The half-life of a radioactive substance is 3200 years. Find the quantity Q(t) of the substance…

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Q: 1. Find the area of the region enclosed by the curves y = x² and y = x by integrating with respect…

A: Please see the below picture for detailed solution.

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: H f(x) = 2x²+x-6 (a) Express fin standard form. f(x) = (b) Find its vertex and x- and y-intercept(s)…

A: We have to find out

Q: The cost function for folding bicycles is given by C(x) = 1450 + 900x + 0.1x² and the demand…

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