Complete the table. y = f(g(x)) y = (3x - 4)4 Need Help? Submit Answer U= Read It u = g(x) y = f(u) y =u4

Q: Find the sum of all rectangles shown in figure below in terms of x and y. x x/2 x/4 y/4 y/2 y

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Q: When fully multiplied out, what is the 8th term of (x-3y)¹22 A -1,732,104x5y7 B -1,082,858x³y7 C…

A: We have to find out term

Q: 2. Find the sum of all rectangles shown in figure below in terms of x and y. X x/2 x/4 y/4 y/2

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Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

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Q: 8. Solve the following equations for x (show all solutions for 0°≤ x ≤ 360°): (4) (a) 4sin(x-30°) -…

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Q: OA = (3,4-1) OB = (2,0,1) AB

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Q: c- Show that the following limit does not exist (x² - y²) lim (x,y)-(0,0) x2 + y² 2

A: Given ; lim(x, y) -(0,0)[(x2-y2)/(x2+y2)]2.

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

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Q: Find the Laplace transform for e¹t (t² + 3t+5)

A: Given e4t(t2+3t+5)We need to find the laplase transformApply transform ruleif L{{f(t)}=F(s) then…

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

A: Let's find area enclosed by given  curves.

Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded above…

A: We want to find the volume.

Q: Starting point: (3,1) End Point: (5,1) Domain: (XERI 3 ≤x≤ 5) Range: (YERI 1 ≤ y ≤ 2) List of…

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Q: 9. For the polynomial function f(x)= x³ - bx² + cx-24 where b,cel, all of the following are…

A: The given function is a cubic polynomial: f(x)=x3-bx2+cx-24     , here b,c∈I If p is a zero of that…

Q: will have a critical number -1 and a x Find a and b so that the curve y = ax³ + corresponding…

A: Given :f(x) = y=ax3+bx

Q: Obtain the particular solution 1. (D³ +6D² + 12D + 8)y=0 when x = 0, y = 1, y'= -2, y" = 2 2. y" +…

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Q: Suppose the inequality (2² - 4x + 3) ≤ f(x) ≤ cos (#) Find lim fx if it exists. 3 x-2 OA) -1 OB) O…

A: We use sandwich theorem to find limit

Q: 2) Let T be the order total in dollars. The total T does include the cost of shipping and tax. a.…

A: Given the charge for food is $8 per pound, $12 for shipping and 9% tax on food as well as shipping.…

Q: dy dx x3 2+y²

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Q: Find an x such that (m) + Σkez (7) (¹524) = 0 for any m 4-2m Σκεπ 5-k

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Q: The velocity (in feet/second) of a projectile t seconds after it is launched from a height of 10…

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Q: Sin(x² + In(x² + 4)dx

A: We need to perform integral.

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

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Q: What function will you differentiate to get each function? 3. g(t) = -3t2 + 12t - 17

A: Integration is the inverse process of differentiation.

Q: 3 Approximate 2² +2) dx using 6 rectangles. 0 It is approximatley (Round final answer to 3 decimal…

A: Given ∫03xx2+2 dxSubstitute  u =x2+2→dudx=2x→dx=12x du:      =12∫1u du       =ln(u)2…

Q: Water is flowing inside a right cylindrical vessel at the rate of 1275 cm³/s. The radius of the…

A: We know that the volume of a cylindrical vessel,  V = π·r2·h where r is the radius and h is the…

Q: the convergence and divergence of the following S vergent series. b) Σ=13*51-n

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Q: 3) 2x (1+y²) dx -y (1+2x²) dy=0 4) dx + x lnxlny dy =0

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Q: π 2 00 sin³¹(0) cr S' 0 rdr dedz

A: We have to evaluate the given integral.

Q: Solve by homogeneous equations method (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

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Q: Evaluate the integral Sy² sin(3y³ + 4) dy

A: Given ∫y2 sin(3y3+4) dyTo evaluate the integral:

Q: Find the average rate of change of the function y = 2e2 with respect to x over the interval from x=0…

A: As we know that; The average rate of change between the interval a≤x≤b is given by; Avereage rate of…

Q: 19. Consider the integral f√x²+25 dx. 9x² a. In/√x² + 25 +x/- - b. x+ In/√x² + 25/+ √x²+25 9x √x²+25…

A: Solve the integral  √(x2+25)/9x2

Q: Question 5 Newton's law of cooling states that the rate of change of temperature of an object is…

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Q: Set up the the integral to find surface area for f(x)=x^4+1 over [1,3] show all steps for setting up…

A: The solution is given below

Q: What function will you differentiate to get each function? 2. f(x) = 8x74x³ + 2x - 3 →

A: solution:-f(x)=8x7-4x3+2x-3antiderivative of f(x)F(x)=∫f(x)dx       =∫8x7-4x3+2x-3dx…

Q: Test the convergence and divergence of the following series, find the sum of convergent series.…

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Q: Determine the absolute extrema of the given function on the specified interval. Show your solution…

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Q: PMT is Maximum Monthly Payment = 3,504 i = 3% n = 30

A: topic-  algebraic operation

Q: Find the "actual" solution (x,y) for the following problem. max_x2y² subject to 2x + y ≤ 2 x20,y20…

A: Given:    2x+y≤ 2 , x≥0 , y ≥0    Max - x2y2

Q: 18. Evaluate fe³x cos 8x dx e3x a. [8sin 8x 3 cos 8x] + C 3x b. [8sin 8x + 3 cos 8x] + C 73 C. d.…

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Q: 1505 152 mxa 081 dial 3a. Find the coordinates of the relative maximum and relative minimum of the…

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Q: 11. The point (9, 16- A. (3,4)

A: y=f(x)after transformation y=f(x)(x,y)→(x , y)(9,16)→(9 , 16)=(9,4)

Q: D. Use double integration to find the area of the region R enclosed by the parabola y = 4-x² and the…

A: Let's find area by using double integration.

Q: 21 Зл 18. If sin = and ≤0<- then tane is equal to: and s 29 2 2 21 A. tan 8 = = 21 20 B. tan 0 = --…

A: Given, sin(∅)=2129 , π2&lt;∅&lt;3π2

Q: A manufacturer of canned food packages the product in cylindrical tin cans. The volume of each can…

A: Given

Q: Q3) Use double integration to find the area of the shaded region between the y-axis and the curve x…

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Q: The length of one side of a rectangle is always three times the length of the other side. At what…

A: This is a problem related to rate of changes. Based on the general formula and concept we will…

Q: Factor Linear f(x)=x²-8x³+23x²-28x+12. Suggestion f(X) has some multiple root

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Q: Which of the following integrals would yield the area of the region below? 2 x=y 3 1 0 x = 8y 00 8

A: A detailed solution is given below.

Q: Additional Activities What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x²…

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