Find the gradient of the function at the given point. f(x, y) = 4x + 2y2 + 6, Vf(4, 2) = eBook

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Q: %3D It has been determined that the cost of producing x units of a certain item is 8x + 365. The…

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Q: e Cobb-Douglas

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Q: 2. Let f(x) be a function of period 27 such that f(æ): over the interval 0 < x < 2x. a) Sketch a…

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Q: The following figure shows the graphs of y = f(x) and y = g(x), together with the indicated %3D %3D…

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Q: (r+)) (r-3) Gruen ( 3n2 find ŕ> which makes the power of x equal to 5 and find the of 2° coefficiend

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Q: Consider the transformation of two variables given by u = x + y and v = 2x - y. If J denote Jacobian…

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Q: Evaluate the following integrals. Show the solution. 1. S csc? (7x + 5) dx 2. fx? sec (4x³ + 9) dx…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: This question is based on application of definite integral and shell method.

Q: 1 Show that f(x) =7(1+x) - 5/4 is a probability density function on [0, o); then find the indicated…

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Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the…

A: This is a problem related to limit and continuity. Based on the given RHL and LHL we will plot the…

Q: 2. Let f(x, y) = (2x – y,x – 2y); (x, y) E R × R, (R is set of real numbers.) a) Show that fis one…

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Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: between x=1 and x=3

A: Given query is to find the area for the given intererval.

Q: Use the accompanying tables of Laplace transforms and properties of Laplace tr 9t sin 7t Click here…

A: L9tsin27t=L9t12-cos2·…

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Q: Let f(x) — 17ӕ + 3. Find f'(3). О А. 51 В. 54 О С. 17 O D. 3

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Q: The hourly cost function (in dollars) of 3 generators, each as follows: where x₁ is the output power…

A: Given problem:- The hourly cost function (in dollars) of 3 generators, each as follows: where x₁ is…

Q: Solve the differential equation dy æy? y(0) = 1 dx /1+ x² There is no need to isolate y.

A: A detailed solution is given below

Q: Question 8 The magnitude, M, of an earthquake is measured using the Richter scale. The scale uses a…

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Q: Solve the differential equations using the substitution suggested by the equation. (x + 2y - 1)dx +…

A: Given the differential equation is (x + 2y - 1) dx + (2x + 4y - 3) dy = 0; when x = 2 and y = -1.

Q: _9. Which of the following is equal to fo°dt? A. e C. ex+C D. et +C B. e° +C _10. What should be the…

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Q: Use the formula £{t" f(t)} (s) = ( – 1)" – (L{f}(s)) to help determine the following the…

A: We will use formula for derivative of u/v and given formula to solve as follows

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Q: A bacteria culture initially contains 3000 bacteria and doubles every half hour. Find the size of…

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Q: What is the minimum product you can achieve from two real numbers, if one of them is three less than…

A: This question is based on application of derivative.

Q: coskry) Im .y)- y-5

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A: We have to choose the correct option from the given options according to the given information

Q: The following figure shows the graphs of y = f(x) and y = g(x), together with %3D %3D the indicated…

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Q: Consider the differential equation y = yz+2z a) Use Euler's Method to estimate y(z) on (0, 1] using…

A: Given :y'=y2x+2xBy Euler's formula :yn+1=yn+h(xn+yn)We know that  y(0)=0, So, x=0 , y=0 and…

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Q: what is of the waximal domain gla) = Inf2x)

A: Maximal domain is the largest set of real numbers for which the function is defined. The given…

Q: Use the method of Laplace transforms to solve the given initial value problem. Here, x' and y'…

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Q: (a) Show that if seven integers are selected from the first 10 positive integers, there must be at…

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Q: (-2 if XS-1 S(x) = {x² -3x+8 if if -1<x<2 x22

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Q: Rojana is 8 years older than AJ, and the sum of their ages is less than 24. Find their possible…

A: Let Age of Rojana is x , and age of AJ is y. Given, Rojana is 8 year older than AJ. Therefore, x=y+8…

Q: 2. (x+2y-1)dx+(2x+4y–3)dy=0; when x = 2 and y = -1 %3D

A: We can solve the given differential equation by using the substitution . Substitute x +2y = v and…

Q: 4y" – 0 +12y' + 9y - 0 e. f. y" – 6y' + 9y – 0

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Q: Find u · v, u· u, ||v||2, (u · v)v, and u · (3v). u = (3, 11), v = (-4, 3) (a) u: V (b) u. u (c)…

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Q: Determine the following functions as homegenous or not, if homenenous state the degree. 1. √x-y…

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: dx Evaluate: XV x2 + 4 1 A) x² +4 – 4 + C x² + 4 +4 - x² +4 – 2 +C 1 (B 2 x² + 4 + 2 x² + 4 – 2 +C 4…

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Q: Find the derivative of the function. F(x) = dt

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Q: (Show your solution) Compute the inverse of the function f defined by f(x) V+ 2. Determine the…

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Q: determine the relation x^2 + y^2 = 13. dy/dx in terms of x and y using implicit differentiation.

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Q: ||r'(t) × r"(t)|| Use the formula k(t) = to find k(t). 13 r(t) = el2"i +e-j 12ts K(t)

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