4 Determine if f (x) = - 2x if x < 1 2x? if x > 1 is differentiable at a = 1.

Q: onsider the functionfx) 5x" + 8x 1. f(x) has a critical point at x ind the value of A: A, does f(x)…

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Q: 12 (2). Here is an Ry region, in the XY plane: Consider the change of variable u = xy and v = 3y +…

A: Here we have to write the integral by using change of variable.

Q: 7. (2x-y)dx+x dy = 0 Ans x+=c

A: Given problem:- solve (2x2-y) dx+xdy=0

Q: Select the correct graph for the given function y = 5+log(x+2) > 10 6 ++ 2 -10 -8 -6 -4 -2, 4 6 8 10…

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Q: 2x-x -2x +1 3 2x-1

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Q: 5,7 4.6 Find the four second-order partial derivatives for f(x, y) = 3x°y' +5xy "y %3D "yy

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Q: Consider the function f(x) = 6x? – 10x + 8, 0 < x < 9. The absolute maximum of f(x) (on the given…

A: Explained below

Q: Given the vector-valued function R(t) = -6cos(1-2t) i+8t j+6 sin(1 2t) k. Find: (a) the length of…

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Q: 10. Let R be the region that is bounded by the graphs of y = 2x and y = 22 +x - 2. Graph the region…

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Q: Evaluate the following integral: (Note that the constant of integration has been added for you.) | =…

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Q: Evaluate the definite integral. i+e"j+t – (e~1 – 1) j + 5 i-ej+: (e – 1) i – (=" – 1) j + -1)j+극k i+…

A: We have to find the solution of  integral

Q: Compute the value of the improper integral. (If the integral diverges to oo, type oo; if the…

A: Solving

Q: Choose any 5 of the following problems to complete. Solve the problem by following the procedure for…

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Q: Graph the function using translations. f(x) 3*+1 4

A: Given, y= 3x+1 Let y=0, 3x+1=0 Therefore, x-intercept doesn't exist.   Let x=0, y= 31+0=31 y= 3…

Q: Sketch the graph of r = 6/ (3 + 3 cose).

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Q: ...

A: According to the company rule we can answer only first question and rest can be reposted.

Q: valuate. (Be sure to check by differentiating!) 1 dx, x - 3+7x 3/7

A: Given query is to find the value of the integral.

Q: Let Ax) = (x- 1)/3+3 with domain [0, 8], which of the following is true about %3D the graph of f? O…

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Q: Find the maximum and minimum values of the function g(0) = 30 – 8 sin(0) on the interval [0, T]…

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Q: Identify the value of the function f(x)=log10x at x = 315, Round to 3 decimal places. 3.498 2.498…

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Q: 12. The function f(x) and its first and second derivatives are as given below. f(z) - 2 6- 2z g"(z)…

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Q: A woman wants to construct a box whose base length is twice the base width. The material to build…

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Q: 2 tan theta / sin 2 theta = r in rectangular coordinates

A: Solving

Q: 6х3-5х2 +9х+15 Зx+2

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Q: Graph the function. f(x) = 3*

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Q: Evaluate the indicated function for f(x) = x² - 1 and g(x) = x - 3 algebraically. If possible, use a…

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Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

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Q: Consider the function f(x) = 3x? + 10x – 3. f(x) has a critical point at z = A. Find the value of A:…

A: The function f(x)=-3x2+10x-3

Q: Simplify the expression log; 175.

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Q: Let us model the number of automobile sales in a developing country as 151,000 N(t) t 2010 1+5.6e…

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Q: Choose the letter of the correct answer. Write your answer in a separate sheet of paper. 1. In the…

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

Q: A 25-year-old woman burns 600t cal/hr while walking on her treadmill. How many calories are burned…

A: Given  Amount of calories burn per hour = 600t

Q: tan The integral -dx is equal to ONE of the following. (HINT: Use Maclaurin series) (-1)" ó 2"+'(2n+…

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Q: Find the Indefinite Integral using the substitution x 7 sec(0). (Use C for the constant of…

A: Solving

Q: y = y (4, 13) 12

A: We will find the exponential function.

Q: Q2\Find the point at which the tangent to the curve y = v4x² +1- 2 has its slop 2

A: 1

Q: HWit Solve the fallowihg first order OLE ス -x(4) P sin DでSma Sloメ=

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Q: Evaluate the function at the indicated value of x= 3. f(x)=log243* -5 5

A: To find the value of given function at x=3.

Q: A(8, 3,8), B(9, 8,33), C(9, 5,12), D(9, 7,24) a

A: answer is in next step

Q: A retail company estimates that if it spends a thousands of dollars on advertising during the year,…

A: Explanation of the answer is as follows

Q: A rectangular garden is to be fenced in next to a garage so that fencing is needed on three sides…

A: topic -application of derivatives

Q: We must also convert dx into an expression involving u. We know that du dx, and so x3 dx = X du.

A:

Q: Find

A: We will find the derivatives.

Q: Consider the points below. P(3, 0, 3), Q(-2, 1, 4), R(6, 2, 5) (a) Find a nonzero vector orthogonal…

A: We need to solve plane problem.

Q: Let X(t) = f(t, W (t)). Give an integral expression for X(t) – X(0) in the following cases: a)…

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Q: 51. y= 2x - 3x3

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Q: 15. Evaluate each limit below. Write oo if the limit is infinite. x2+x-6 (a) lim x-2 x2-4

A: Here we have to find the limit of the function.

Q: length of the curve r = 4 sin 20 for ÷sos 6 2

A: To find the length of the curve r=4 sin 2θ for π6≤θ≤π2.

Q: Given vectors ū and v , draw 2ü – v .

A: We have to draw given vector.

Q: given funchiow: fox) = x?e?" Defermine any pants of inflectro

A: Given :f(x)=x2e7x