Graph the solution of the system of inequalities. x + 2y ≤ 8 3x y ≥ 0 y ≥ 2 X - -

Q: 1. A school auditorium has 32 seats in the first row, 35 seats in the second row, 38 seats in the…

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Q: nd the x- and y-intercepts for the function. f(x) = x+10 x2 +25

A: Given query is to find x and y intercept of the function.

Q: TRUE or FALSE Write true if the statement is true and False if otherwise. Write your answers on the…

A: We have to define if the given statements are true or false.     According to our guidelines we can…

Q: 10. a² 16 = 32 -

A: We can solve question no 10 as below.

Q: 65. Lim (1+h) ³-1³ ho h

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Q: Solve for a. 8. 9a 16 a² =

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Q: constant, then find the value of M. Find all the roots of 2x³-8x² +16=0 when x = 2 is one of the…

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Q: For each equation, solve for each variable in terms of the other variables. y=z/x For example: z =…

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Q: Find the values of x for which  f(x) = g(x).  (Enter your answers as a comma-separated list.) f(x)…

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Q: A water storage tank for crop irrigation holds 800 gallons of water, and has been draining from the…

A: To find the slope of the secant line.

Q: Find the derivative of the function f(z), below. It may be to your advantage to simplify first. 28…

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Q: Situation 1: A car stuck in a ditch is being pulled by two tow trucks. For the car to move, the tow…

A: We have to find the force in each cable.   Let FR = resultant force, FA = force in cable A, FB =…

Q: 2. On February 10, 1990, high tide in Boston occurred at midnight. The water level at high tide was…

A: Given 1. High tide at midnight t=0. 2. Water level at high tide = 9.9 feet. 3. Low tide at 12 noon…

Q: 3. What is the general term of the sequence: 5, 15, 45, 135, 405, ... a. t₁ = 3(15) b. t₁ = 3(5)n-1…

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Q: Your cell phone plan charges a base charge each month plus a charge per daytime minute of usage. In…

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Q: Solve the inequality involving absolute value. Enter the exact answer in interval notation. To enter…

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Q: The population of a town in 1920 was 2700 people. The town's population decreased linearly, and in…

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Q: Evaluate the integral S 10x dx

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Q: 5 4 3 2 in -5 -4 -3 -2 -1 77 1 1 2 -3 -5+ ● 2 Write the domain of the function above using interval…

A: A graph of a function is given below. To write the domain of the function above by using interval…

Q: +6 x² 2 - 4

A: To write the form of partial fraction decomposition for the given expression.

Q: For the following​ function, make a table of slopes of secant lines and make a conjecture about the…

A: Topic:- application of derivatives

Q: The circumference C of a circle is a function of its radius given by C (r) = 2πr. a. Express the…

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Q: Find a formula for the exponential function passing through the points (-1,2) and (1,8) y =

A: We can find the exponential function as below.

Q: If a marble is dropped from a height of x feet, it will hit the ground with velocity v(x) = √x miles…

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Q: For the function, consider the following. (Hint: Use a graphing calculator.) f(x) = x4/3; find f(-8)…

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Q: 2 2 JX-1

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Q: 29. Use the squeeze theorem to show TL lim √x³ + x² sin == 0 X

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Q: 36. Approximate approximation A. 3.039 B. 6.078 C. 8.105 D. 4.053 E. 12.156 the integral egral; de…

A: Let's find integral by using trapezoidal method.

Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: Evaluate [si sin 3x cos 5x dx.

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Q: Consider the following function. f(x) = x4 − 2x2 + 9 Find  f(−x)  and simplify as much as possible.

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Q: 2x The function y=x+C₁+C₂e-²x is the solution to the Differential equation y"+y'-2y=1-2x IF TRUE,…

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Q: The age/weight relationship of a particular animal can be estimated by the function ,-0.03(1-58)…

A: Given equation:- Mt=3120e-e-0.03t-58

Q: "Please show all your work 1. If a vector A=2a, +a, +2a₂and B=a+2a, +ã, find Ax B. 2. If a vector…

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Q: Consider the graph of the one-to-one function shown in the figure below. 10 y 8 6 4 2 2 4 6 8 10 X

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Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

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Q: Let f(x)= -7x^2-8x, if x<1 4, if x=1. 5x-2, if…

A: Concept: Left hand limit: The value of a function that approaches when a variable gets close to its…

Q: Find the limit. (If an answer does not exist, enter DNE.) (x + Ax)² – 5(x + Ax) + 3 − (x² − 5x + 3)…

A: Given :lim∆x→0x+∆x2-5x+∆x+3-x2-5x+3∆x

Q: Evaluate the line integral r(t) = (sin t, cos t, t), F · dr, where F(x, y, z) = −3xi + 2yj + 4zk and…

A: Given:- Fx,y,z=-3xi+2yj+4zk rt=sint,cost,t To find:- ∫cF.dr , where c is given vector rt ,0≤t≤3π2

Q: Find T centered at x = 0 for all n for the function f(x) 1+x* (Use symbolic notation and fractions…

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Q: 3. Obtain the 6.S. sy dx + taydy = 0 xcos

A: We have given equation  xcos2y dx+tany dy=0 xcos2y dx=-tany dy x dx=-tanycos2y dy x dx=-sec2y tany…

Q: For what value of the constant c is the function f continuous at 6 where if b ≤ 6 Jcb + 9 c(b)² 9 if…

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Q: у 1 0 1 T 1 X

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Q: Let F = 1xi + 5yj and let n be the outward unit normal vector to the positively oriented circle x² +…

A: To find the flux we have to first compute unit normal vectors by using formulan=Gradient…

Q: PERPARA EPIFFERITEURE HIFCERERE dx SURASEULEET EXPLOREZPIER MERASAKASH FLERENCE r 7)Evaluate ↑n(x²)…

A: I have stated the used formulas in the solution.

Q: 3. The following definite integral equals: a. √2-2 b. 2-√2 c. 2+ √2 d. None of the above answers…

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Q: Solve the system or show it has no solution . If there are infinite numbers of solutions enter the…

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Q: 342. f(x) = x² In9x

A: We can solve question no 342 in the below steps.

Q: Fill in the rest of the table. xf(x) g(x) 3 2 4 1 1 2 3 4 10 5 3 4 2 5 1 LO 5 f(g(x)) g(f(x))

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Q: Evaluate the following Limits: 3 1. lim x418 2. lim 1 3+ 2x x-1 x-1 √4x+5-3 3√x6+8 3. lim x→∞0…

A: Here is the required solution: