6. If f(x)= V3x + 4 , find (7).

Q: then fxy Q4: If f (x, y,z) = x²y³ – y²z3 %3D -

A: we have to find partial derivative

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A: Given function f(x)=mx+b where m and b is constant our aim To evaluate linearization of f(x) at…

Q: = x² – 6x + 13, y = Inx, x = 1 ve x = 5

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Q: 1 If y = V1-x then y' = 2/1-x

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Q: f(x) = 2+ 3x² – 8x3 -

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Q: Given that f(3) -2 and f'(3) = 4, estimate f(3.5) using a linear approximation.

A:

Q: For a short run production function q=10lnL if L=5 and the wage rate is $3 the extra cost of to…

A: Answer:----.               Date:----3/10/2021

Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx +b at any given…

A: Givenf(x)=mx +b where m and b are constantsTo find linearization of f.

Q: Find y' by implicit dif ferentiation for 2y³+4x² –y = x6 . 6x5- 8x y '=- 6y2 – 1 A 6r5 + 8x B 6y2– 1…

A: Given, 2y3+4x2-y =x6 We have to find y' by using the implicit differentiation.

Q: Find dy for given Values OF x and AX y= 4x315x X=-3 and AX = 0.3

A:

Q: Suppose the cost per hour incurred in operating a cruise ship is 5a + b^4v^3 dollars per hour, where…

A: Step:-1 Note:-  your cost expression is not clear here as it can be 5a+b4v3   or   5a+b4v3 , So i am…

Q: Find for following 1.y = (x + v3x)S

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The linear functions m(x) and n(x) are perpendicular to each other and intersect on the x-axis. If…

A: Two lines with slope m1 and m2 are perpendicular to each other if m1m2=-1 Given: m(x)=4x+48 Let the…

Q: 1. Come up with the equation of any function f (x, y) satisfying fx = x + y and fy = x + 3y³

A: The objective is to find the function f(x,y) satisfying fx=x+y and fy=x+3y3 Now take, fx=x+y Now…

Q: 14. The f'(4) for y = v3x2 + 1

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Q: 8) Use the Trapezoidal Rule to evaluate V1+ x² dx;n = 3.

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Q: Find two positive numbers x and y that minimize the product xy, and satisfyx + 4y = 120.

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Q: I Eliminate the arbitrary constants y = x²+ ax + be*

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Q: Ex 2. Find the critical points for: a) f(x) = 2x³ +3x² b) f(x) = Vx² – 1

A:

Q: Show that Inx dx = -/Zn². x3/4(1+ x)

A: The given integral is: ∫0∞lnxx341+xdx

Q: If the total revenue function for a blender is R(x) = 84x − 0.01x2 where x is the number of units…

A:

Q: x^2=Axy+By

A: Simple value put

Q: What happens when you try to approximate V3 by using fixed point iteration of g(x) = 3/x?

A: To determine what happens when 3 is approximated using fixed-point iteration.

Q: (b) Differentiate (Vx+ 1) with respect to x. 2/3

A: as per our guideline we can solve maximum one question you can repost other questions

Q: y = v1- x+ x2 ||

A:

Q: 4. Find dyax and d2 x =V4- t , go t²-2t ye t'-2 get'.

A:

Q: If y = ((5z² + 8z)³ – 5-)°, then dy/dr is:

A:

Q: 2 The Range (Ry) of y = v9 – x² -

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Q: Find the streamlines corresponding to: f(z) = z²

A:

Q: What is the counterexample of x/x=1

A: Follow the steps.

Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx + b at any given…

A: The given function is: f(x)=mx+bSo,f'(x)=m

Q: Solve for fazy for f(x, y, z) = 4x³y²z - e²zy¹ + + 4y - x¹6

A:

Q: Find f(t). 2s + 3 s2 + 4s + 13,

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Q: Suppose z – 2z +x=5, What is the value of y ?

A:

Q: 4. Suppose y = 3x + 2. What is Ay if x increases by 3?

A:

Q: Calculate fxyy for f(x,y) = x 3 + y2ex.

A: Given function is fx,y=x3+y2ex. To calculate: fxyy. Solution: fxyy means first partial derivative of…

Q: Find all critical points of the following function. f(x,y) = 10x²-5y²

A: Please see the below picture for detailed solution.

Q: Suppose that 3x² - y² = t² and y=tsin 0. Find dy ().-0 (27). and X

A: Given 3x2-y2=t2 and y=tsinθ

Q: Suppose we have a revenue function given by R(x)=3x^3−αx, where α is a constant. What would the…

A: Formula used:

Q: A department store has found that its value of sales (z) depends on the mumber of advertisements in…

A: Given that number of advertisements in circular = x number of advertisements in news papers = y…

Q: Find the roots of the given equation where f(x) = 0 with the stopping criterion of 0.001. f(x) = (x…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Write down a solution to y' = 4(y − 5) that tends to −∞ as t →∞.

A:

Q: (1, if x 2 %3D plot

A: f(x)=1, ifx<01-x2if 0≤x≤2x+1if x>2

Q: note that X - y +z = e2 and 4x – 3y + 2z = e2

A:

Q: 8 If f(x) dx = 37 and g(x) dx = 12, find %3D [2f(x) + 4g(x)] dx.

A: Given ∫08f(x)dx=37 and ∫08g(x)dx=12We have to find ∫08(2f(x)+4g(x))dx

Q: In a certain company, the income from the sale of x thousand pieces of products is given by I (x) =…

A: We first try to find the profit function.  Profit= Income - Cost…

Q: = 0 for F = yz²î +xyj + yzk

A:

Q: 4 Q1: If y = (x4-3x2) x5-3Vx3+Vx find y' 리x2-2

A:

Q: The demand for nurses in the US between 2000 and 2015 is estimated to be: D(t) = 0.7t2 + 0.265t +…

A: Derivative indicates the rate of change. Positive derivative meaning positive slope, which indicate…