3. Determine the point(s) where the function y wirte the answer in EXACT form. You must use the First Principles Formula. has a maximimum and/or a minimum. Find BOTH coordinates and

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Q: Q1) B- IF f(x)=√4-x, g(x)=x², Find : fog(x) draw them & determine (domain ,range). 9 gof(x),Then

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Q: Talse. If f is not piecewise continuous on [0, co>), then {f(t)} will not exist. True False

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Q: Factor the polynomial completely. P(x) = 625x4 − 25

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A: Please refer to the image below

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Q: 1. Find the maximum value of f(x, y, z) = x + y − z subject to the constraint x² + y² + z² = 6.

A: f(x,y,z)=x+y-z   x2+y2+z2=6 Rewrite it as: x2+y2+z2-6=0 L(x,y,z,λ)=(x+y−z)+λ(x2+y2+z2−6) Find all…

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Q: potential

A: Please refer to the image below

Q: Given: F(s) = (2s+3)/(s² -2s +5). Evaluate: f(1) Use 2 decimal places. 5.67

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Q: Calculate the indicated Riemann sum S5, for the function f(x) = 26 - 3x². Partition [-4,6] into five…

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Q: 14. The solution of the differential equation: (D - 2)³y = e²x is k a) y = (₁ + C₂x)e²x + xe²x b) y…

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Q: Eliminate A and B. y=Ae2x+Bxe2x Oy -4y2y=0 Oy +4y +4y=0 Oy²-2y-4y=0 |y-4y +4y=0

A: Given a solution of differential equation as y=Ae2x+Bxe2x. We need to eliminate constants A and B,…

Q: • . 19

A: the equation of ellipse is given  below

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Q: II. Consider the function f(x, y) defined for all (x, y) by ƒ(x, y) = 232/32 + 2xy + 4x²y (a) Find…

A: Here we have to find the critical points.

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A: To find out the arc length of the curve.

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A: We will find the required solution.

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Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then ¹{F(s)G(s))} = f(t)g(t). True False

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Q: 7. Evaluate I = S ads, where S is the part of the plane x+y+z = a lying in the first octant.

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: x²+xy 20. If f(x, y) = x-y -, (x, y) = (0,0) 0, (x, y) = (0,0) Then the value of fx (0,0) is a) 0 b)…

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Q: -5-4-3 fa 7 The function graphed above is: Increasing on the interval(s) Decreasing on the…

A: Given data÷

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Q: Find the Taylor series generated by f at x=a. f(x) = 5x , a = 7

A: We have to find Taylor series of f(x) =5x about x=7. Let us see first what is Taylor series…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Our Aim is to find the inverse Laplace Transform of the following function given…

Q: 5. Hance sits at one of the points on the curve y = 2x³ -3x²-12x +20 where the tangent is parallel…

A: Please see the below picture for detailed solution.

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Q: Let y Ay - 5x² + 8x + 4. If Ax = 0.4 at x = 5, use linear approximation to estimate Ay I Submit…

A: We know that ∆y=f(x+∆x)-f(x). So,             ∆y=f(x+∆x)-f(x)      =f(5+0.4)-f(5)      =5·…

Q: What is the gradient of f(x, y, z) = x³z2 + y³z +125z - 1 at P(5,5,-1) ?

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Q: For the function f(x)=x²-5, write Newton's formula as n+1 = F(x) solving f(x) = 0. Type in x_n for n…

A: The given function is: fx=-x2-5 And the given Newton's formula is: xn+1=Fxn=xn-fxnf'xn   As we know…

Q: and a "0" to be false. P 1 1 1 1 0 0 0 0 q 1 1 0 0 1 1 0 Write a truth table for the proposition:…

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Q: 11 described. • f'(2)=0 Use the given conditions to sketch a possible graph of the function f(x)…

A: Given: f(2)=-3 f'(2)=0 f'(x)>0 if x<2 f'(x)0 if x>2 f''(x)<0 for all x Since f'(x)>0…

Q: Determine whether following series convergent or divergent. Indicate the test you are using. If you…

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Q: Find curl(4z i+ 5x j + 7y k). curl(4z i + 5x j + 7y k) = ( i )i + ( i )j + ( i )k

A: Topic- Curl of a vector

Q: Differentiate y = (2x³ + 3x² - 1)5 30x(x + 1)(2x³ + 3x² - 1) O 5(6x² + 6x)+ 30x(x+1)(2x³ + 3x² - 1)4…

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Q: june 6 Screenshot (1689).png Screenshot (1683).png Show that the differential equation x²y³ + x(1 +…

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Q: Consider the following function. x + 2 X-1 What is the domain of f? (Enter your answer using…

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