Chouse a SPFU AL FUNCTION 6ve niew / explan atim a Provide an of how the differential equati n corres ponding t the sye ecial function is Golved - you may bullet points wse b) Write detailed Golutiim c) Sell the special functiion. what are its pro perties! why is it wse ful expucially wi pey sica?

Q: Let f(x) = r-15z + 27x + 11. (A) Use interval notation to indicate where f(z) is increasing. Note:…

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Q: them to evaluate Ax) f'x) b. dx а. 3 -4 Ix=9 -2 9. 6. 0.25 6.

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Q: ck < cre ISP Question af Calculate for the function f(x, y) = x² + y². dr Select the correct answer…

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Q: function g defin g(x ,y) = cos (TX JG) Consider the (b) calculate the instanta

A: Given: Function g(x,y)=cos(πxy)+1log3(x-y) To find: Instantaneous rate of change of g at the point…

Q: 14. Consider the function f(x) = xª – 2x?. %3D - a) Find the interval(s) where the function is…

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Q: 13. Show that the following functions are contin- uous but not differentiable: (a) z (b) |z²2 (c)…

A: 13) We need to show that given functions are continuous but not differentiable. We know that , a…

Q: By using caushy Rieman find the derivative of f(z) =|z| IT 1"

A: We are solving first Que only as per the guidelines. If you want others to be solved kindly post it…

Q: 1.0 0.5 g -2 -1 1 2 h -0.5

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Q: Q.10. Q.10./ Let [a, b] be an interval of R. Let f[a,b] R be a function such that f is M-times…

A: I will use Taylor theorem of remainder form to prove this.

Q: 4[8,(t-2) rect(r)dt

A: we have,  I=4∫020δ4t-2recttdt we know that  ∫t1t2xtδt-t0dt=xt0 ;   t1&lt;t0&lt;t20       ;…

Q: 66-68 Assume that all of the functions are twice differentiable and the second derivatives are never…

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Q: Let f(x) = 36 – 5z – z?. (A) Use interval notation to indicate where f(z) is increasing. Note: Use…

A: Answers are provided below.

Q: +=-2 ounimo tot+5 o f4) = lim fct th)-f(t) | Ist find f(-2 th) ! fodd fl4+h) bysubstituting ta (-4…

A: Let's first discuss the definition of differentiation from the first principle. Let y = f(x) be a…

Q: Consider f(x) =x² – 3x. In which interval is the function decreasing? [-1,0] [3,4] [0,1] [2,3] [-1,…

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Q: At x = -2 the function y = +2 true 5 is differentiable but not continuous falco

A: This question can be solved using the concept of continuity and differentiability

Q: Pls help w this ques, use only given rules. I need help with #c. Full details in solution. Thnk u.

A: Step 1: Step 2: Step 3: Step 4:

Q: 6. f (x) = 4+x2 Find the intervals where the function is monotonically increasing and monotonically…

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Q: Find a function f and a number a such that, for all x > 0, S. f(t) -dt = 2/x. t2 6+ a

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Q: 3. Consider the function u(x, y) = f(3x +4y) + e2(3x-4y) + 3x - 4y and let s = 3x +4y and t = 3x -…

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Q: True or false? The function f(x, y) is continuous at x2 + y? the origin. True O False

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Q: By using Ordinary Pifferentiation Equotion (Initral laluel) Compute k coefficrent for f(332,2) by…

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Q: If f and g are differentiable functions on (– 0, 00), then y- f(g(x)) isdifferentiable everwhere and…

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Q: Y Vx2 – y? %3| da

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Q: If the derivative of the function is zero everywhere, the function is always O a. variable O b. None…

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Q: This is part of the curve sketching unit for calculus solve using proper steps and give right answer

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: dy 1. If y is a function of x, find dx a. 4x? + 3xy+7 y³ +4y? = 2 +3xy+7y³ +4y? = 2 а. b. y +4y? +…

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