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Q: Differentiate. f(w) 1 + sec(w) 1 - sec(w)

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Q: What values of a and b make the function f continuous everywhere? I -4 if z<2 H-2 az² – bz = 18, if…

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Q: Which expression represents the average rate of change of the function(x)=x²-x+1 over the interval…

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Q: find the absolute extrema of the function f(x) = x^2 - 6x on the intervals [- 1,6], (3,7], (0, 6),…

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Q: The marginal revenue function of a company is MR = 200- x, and the marginal cost is MC =x+100. Then…

A: The change in the total cost, when an additional unit of the product is sold is called the marginal…

Q: Determine if the function is continuous at the indicated point 12 1 f(z) = |2|= 1

A: To determine if the function f(z) is continuous at ∣z∣=1, we need to check the following: The value…

Q: f we use Trapezoidal rule to approximate * f(z)dx then find the value of x2, where n= 6 Select one:…

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Q: Please

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Q: a/ himit function fove/ メ A+メー be s- メ<1 X-1 @ existing and evennes Dexisting and cvennes 2. O Non…

A: Let's find limit.

Q: Kim throws a ball against a wall at time t = 0 At time t = 1 , it hits the wall and then at time t =…

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Q: (늘 가 G-2). Find the value. A relative extrema of the function f occurs at f(x, y) = 9x2 + 3y2 - 9x +…

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Q: Question 1 (10 Marks): Calculate of given function f(x,y) = ye**. əx²əy³

A: Definition used -       Partial derivative -             In partial derivative, we differentiate…

Q: 1 is IR? \ {(0,0)}. 22 + y2 The domain of the function f(*, y) True O False

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Q: True or False? If f (c) is a local min, then f"(c) must be positive.

A: the given statement is: If f (c) is a local min, then f"(c) must be positive. we have to determine…

Q: Determine the following function is differentiable F (z) = e¯²

A: Cauchy-Riemann Equations: The function fz=ux, y+i vx, y satisfies the Cauchy-Riemann equations if…

Q: Q2: EVALUATE * S I5(x) dx Js(x)

A: To find : ∫J5xdx Using the formula  ∫Jn+1xdx=∫Jn-1xdx-2Jnx Here n=4

Q: 5. Ôx (@) = ¢x (- w), if X is symmetric function.

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Q: Q4) Specify the intervals over which the function is increasing and the intervals where it is…

A: Given the function  y = - x3  , We need to find the interval where this function is increasing and…

Q: K L used in production does not depend on the input prices (w,r) True False

A: Production function - it is defined to have: Constant returns to scale if (for O &lt; a ) (Function…

Q: and What is the criteria of minimum manimum funcon

A: Criteria of Maximum and minimum values:

Q: Can you specify how you got the F=(y-x, x, y+x) on step 2?

A: The vector field F =(y-x, x , y+x) is given .

Q: If limit t y = f(x) write an expression for the differentia dy

A: Given: y=f(x)

Q: c) What is the actual revenue of the 250 000th CD player sold? (between 250000 and 250001) d) What…

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Q: What is the average rate of change for a quadratic function f(x) = ax? + 2 and x = 1 for fixed real…

A: The given function is fx=ax2+bx+c. Compute the average rate of change of function fx=ax2+bx+c from…

Q: 6. Find an equation of the tangent line to y = f(x) : = tan¬(2x) at x = 7

A: Given,

Q: Let f(x) = ²³ d. Find the value of ƒ¹ (2) af(x) 0 24 4 -8 -4 -24 12 -12 8

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Q: 2. Let a function of two variables be defined by f(x, y) = xy+x- y. What is the value of f(3,8) ?…

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Q: Since f(x) is continuous between a and b, the function needs to cross the x-axis. O TRUE O FALSE O…

A: Given fx is continuous between a and b

Q: Which of the following is not aproperty of the function y = e*? A. e"e® = eu+v B.(e")" = euv C. e =…

A: To check which of the following is not a property of the function  y=ex. A eu ev=eu+vB euv=euvC…