Consider the following integral. √1 + 7x dx Find a substitution to rewrite the integrand as du. u¹/3 7 U = du = dx Indicate how the limits of integration should be adjusted in order to perform the integration with respect to u. [0, 1] → Evaluate the given definite integral.

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A: Consider the given marginal-demand function,

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Q: 17. Determine whether the sequence converges or diverges. Find the limit if converges: a = 2n+3 2n+1…

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A: we need to find f'(x)

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Q: (3, 7/7). 2 Plot the point whose polar coordinates are (3,

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Q: 2. Evaluate the integrals. a. b. C. L (6x - e²) dx [²₁12 +2 (2 + 2y)² dy 7T/4 3 3 sec Ꮎ tan Ꮎ ᏧᎾ

A: .

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Q: Sketch the graph of the function shown below. From the graph, find its domain and range. |xif -3<x<0…

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Q: amount for 6 Three kinds of tickets are available for a concert: up-front, main- floor, and balcony.…

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Q: Find the slope of the line tangent to the polar curve at the given point. 7x (-3- r= 6 sin 0; Select…

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Q: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

A: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

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Q: Find the cost function for the marginal cost function. 7 C'(x)=9x; 10 units cost $171.99 X Write the…

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Q: Evaluate ∫∫∫E(x+y−3z) dV where E={(x,y,z)∣−4≤y≤0,0≤x≤y,0≤z≤x+y2}

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Q: 3 [³ ex dx = e³-e, use this result to evaluate Given that 3 [²70 7ex +4 dx.

A: Given,.Let assume,

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Q: If you know that Q(x) is a quadratic function and that Q(5) = 10, Q(8) = 11 and Q(1) = 9 then: 1…

A: If you know that  is a quadratic function and that , then to evaluate the following integral.

Q: Evaluate the integral: Ox= Ox= Ox= (A) Which trig substitution is correct for this integral? 0x= 0x=…

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Q: Evaluate the following: lim In(e+h)-in e

A: To evaluate the following limit.

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Q: 1 if x > 0 - 1 if x < 0 c. Find the domain and range of f. Let f(x) = .a. Find f(-16) and f(14). b.…

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Q: j. lim sin x x →0 k. lim sin² x x→0 1. lim sin 3x X-Z 2 m. lim cos³ x X→= 2

A: To find:-(j) (k) (i) (m)

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Q: 18. Find the value(s) of c that satisfy the equation f(b)-f(a) = f'(c) in the conclusion of the Mean…

A: GMean Value Theorem

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Q: nn n=0 4"n! η!

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Q: Find the ninth term of the binomial expansion. (p+q) ¹¹

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Q: y = In[sin(x + y)]

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Q: Find the area of the shaded region. r = 4 + 3 sin(0) -5 y 5 -5 5 -X i

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Q: The graph of a one-to-one function f is given. Draw the graph of the inverse function f¹. For…

A: The graph of a​ one-to-one function  is given. To draw the graphof the inverse function .

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Q: dr Evaluate the integral: 2² (A) Which trig substitution is correct for this integral? Or=2 sin(0)…

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Q: Evaluate the indefinite integral as a power series. fin(1+x²) dx

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Q: k. y = ln x 1. m. y = y = 5 cos x + 8 lnx + 3x³ 3x¹+3x²+1 x

A: Given: y= ln(x)Solution: y= ln(x)Differentiating y with respect to x we have dydx= ddx(ln(x)) ⇒y′=1x

Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…

A: To find the demand function for the following marginal revenue function.Recall that if no items are…