ts) Suppose that f (x) = 3x-10 %3D and g(x) = %3D 15x-6 Find and simplify f(g(x)). tha domain of f(g(x))?

Q: For the equation x - 4x + y - 8y = 16 , do the following. (a) Complete squares for the quadratics x2...

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A: Given,  (A∩B')∪C

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect tox or y. D...

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Q: a. Consider the function f(x) = 6 cos(8x). i. How much must x increase by for 8x to increase by 2? P...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Suppose that f(x)=(3x^2+6x−45)/(x^2−11x+18) The function f can be written in factored form as f(x)=3...

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you ...

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Q: Evaluate the triple integral, (2x + z) dV where E is the region bounded inside the cylinder a – y" =...

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Q: Let b be a real number satisfying b> 0, b# 1. Given that P, Q, R, and S are positive real numbers an...

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Q: 1 , log(8 – t) > Vt + 6 Find the domain of the vector function 7 (t) = < vt + 6, Domain: {t くtく }

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Q: Prove the identity. cotx = cscx- sinx cscx Note that each Statement must be based on a Rule chosen f...

A: cotx= cosxsinx csc(x) =1sin(x) cos2(x) =1-sin2(x)

Q: 2. A culture of bacteria is growing at a rate of 200e0.1or cells per day, where t is the number of d...

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Q: Find the exact value of each of the following under the given conditions below. 12 sin a = 1 X <B<x ...

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Q: Determine from the graph whether f possesses extrema on the open interval (a, b). Y y= f(x) a b No m...

A: Question is solved.

Q: The joint cost (in dollars) for two products is given by C(x, y) = 48 + x2 + 3y + 2xy where x repre...

A: Given query is to find the marginal cost function with respect to x and y.

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Q: 2. Air is leaking from a spherical-shaped advertising balloon at the rate of 26 cubic feet per minut...

A: Let r be the radius and v be the volume of balloon, Given dvdt=26 cf/minuteswe know thatv=43πr3v=432...

Q: The plane through the points (8,4,5), (-3,7,-5), (7,8,-3) has equation Ax + By+ Cz = If A = 16 find ...

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Q: 4x + 5x 3 - V64x® + æ² +1 g(x) = (Select one or more of the following.)

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Q: Find a vector, v, in component form, that is orthogonal to the plane containing the points P = (4, 3...

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Q: Problem 2: Find the Maclaurin series, and determine the interval of convergence for each of the foll...

A: Question - (a) Given function: fx=x3cosx

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Q: 6. S-2x-3 if x 2-2) f(x) = { 4x+ 6 if x < -2 ) %3D Graph

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Q: MY NOTES Find the indefinite integral and check the result by differentiation. (Use C for the consta...

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Q: Please show the coordinates.

A: Solution is here

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Q: The function f is defined as f(x)=(x-6)/(x+5)^2. Answer the following questions without using a grap...

A: The given function is,               fx=x-6x+52 Numerator of the function is x-6  Denominator of the...

Q: Suppose M = max{2x for x E [0, 4]}, then the value of M is

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Q: Given polar equation is r = 2- cos 0

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Q: 4. (a) 4 sin 3t (b) 3 cos 2t

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Q: Based on the graph above, estimate to one decimal place the average rate of change from `x=1`to x-D4...

A: Formula for average rate of change is as below :

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Q: Find the distance between the parallel lines. 3x − 4y  =  9 3x − 4y  =  13

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Q: Suppose that G(x) = log 2(2x - 2) –3. %3D (a) What is the domain of G? (b) What is G(3)? What point ...

A: Use graph

Q: (8) Suppose that f(x) and g(x) are differentiable and one-to-one and f(2) = –1, f'(2) = -3, f(-1) = ...

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Q: 6t dt +1 5.

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Q: Let F(t) = (- t + 1, t – 2t", - 2t). Find the line (L) tangent to r (t) at the point (- 15, – 24, – ...

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Q: Let f(x) = (2+ 3x) f(x) has one critical value at A = For x A, f() is Select an answer Question Hel...

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Q: on the interval Minimum value %3D Maximum value %3D

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Q: 5)Let w-f(u, v), where u = X -y andv = a) Using the chain rule, express x-y in terms of x, y, of and...

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Q: Select the correct response: a) 57 b) 84 c) 87 d) 79 e) 85 f) 83

A: Here, this problem is dependent on even odd concept.Odd number which is not divided by 2Even number-...

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 7 sin x) dx

A: Given the integrationI=∫(4cosx+7sinx)dx

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Q: The graph below is the function 'f(x)`

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Q: 3/2 Find the length of the curve. y = (x* +4)" OSxs2

A: see below the answer and calculation