O Prove by induction that for all n E N it holds that 1 1 1 + 2.3 + 3.4 1.2 + + 1 n· (n + 1) = N n+ 1

Q: Find the differential equations of orthogonal trajectories of these curves. 0.) ax² + by² = C₁ where…

A: see below the answer and calculation

Q: Cell Phone Plan - Application When purchasing a new Cell Phone Plan you are given two pay options…

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Q: Determine the size of the matrix. 86 413 2 1 7 4 1 1 1 1 2 1

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Q: 4.5=1.5(3.25-5)²

A: The above equation has 2 power of "s" so it has two roots=1.518,  4.98

Q: 4. A car advertisement claims that a certain car can accelerate from rest to 70 km/hr in 7 seconds…

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Q: What is the equation of the line in slope-intercept form with m = 19 and y-intercept b = -7/? y =…

A: Given: and The slope intercept of the line equation is y=mx+b.

Q: Determine the end behavior of the function. f(x) = x4 - 9x² As x→-∞, f(x) — X -100 -10 8 v Make a…

A: The function f(x) is given hence you just need to put the value of x in the function and get the…

Q: How would that be shown with a union?

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Q: Calculate the gas mileage of a car that drives 283 miles on 12.3 gallons of gas. Round to the…

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Q: Each function is either even or odd. Use f(-x) to state which situation applies. f(x)=x²-3x² +5

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Q: Couples are marrying later. The median age of men who tied the knot for the first time in 1970 was…

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Q: What is 7 1/32 + 3/64

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Q: X0 PCO Q(x) 514 1 2 34 352 4 31210 complete the table using composite function r(x) = p(a (x), at x…

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Q: A retail chain sells DVD players. The price-demand function of a particular model p(x) is p(x)…

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Q: Write an equation that expresses the given relationship. Use k as the constant of variation z varies…

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Q: Determine the largest open interval(s) of the domain over which the function shown in the graph…

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Q: Graph each system of Inequalities below. Name the coordinates of the vertices of the polygon formed.…

A: Graph each system of Inequalities below. Name the coordinates of the vertices of the polygon formed.…

Q: Factor the polynomial. 24by - 12bx - 6cy + 3cx

A: Here is the solution:

Q: Create an linear equation to represent this situation

A: The given table is:

Q: (a,b) d)

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Q: Solve the solution set of the given system of linear equation by Gauss-Jordan Elimination x₁ + x25x3…

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Q: You can walk 8 miles in the same time that it takes to travel 16 miles by car. If the cars rate is 2…

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Q: You have answered 0 out of 2 parts correctly. 1 attempt remaining. Find the solution of the…

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Q: Given the function f(x)=x²-2, x≥0, (a) Find f¹(x). (b) Graph fand f¹ in the same rectangular…

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Q: According to a survey, 12.3% of men over the age of 30 in Jonesville work two or more jobs. The…

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Q: Megan, Chris, and Elyse have accounts where they deposit money and never withdraw. Chris' Account…

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Q: Melissa's garden is growing! She notices her tomato plants were 2 inches the first week, 4 inches…

A: As per our answering guidelines we are allowed to solve only 3 sub-parts. Kindly repost others.…

Q: Solve: "The cost of a laptop, including 7.5% sales tax, is $353.68.  What was the list price of the…

A: This question can be solved using the concept of list price and sales tax.   Here sales tax will be…

Q: elect all true statements regarding limits at infinity. The limit of sin(x) as x approaches ∞ does…

A: Topic:- calculus

Q: A company is planning to manufacture snowboards. The fixed costs are $136 per day and the total…

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

Q: Use the procedure for solving variation problems to solve the exercise. y varies jointly as a and b…

A: Given y varies jointly as a and b and inversely as the square root of c. y=14 when a=2, b=5, and…

Q: Translate the following application into an algebraic equation: "At a hot dog eating contest, Andy…

A: Topic- Equations  We are given that Andy at 5 more hot dogs than Barry Carl ate 5 less hot dogs than…

Q: (e) Which of the following does the x-intercept of the tangent line at x = 0 help approximate? (a) a…

A: (e)  y = f(x) = 7ex+ 3x4-20x-5 So, f'(x) = 7ex+12x3-20  Now, at x = 0, y = f(0) = 7 - 5 = 2 So, at…

Q: Below is a partial Excel output based on a sample of 25 observations.   Coefficients Standard Error…

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Q: Find all the possible rational zeros of the following polynomial: f(x) = 5x + 8x²-3x-

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Q: Without a graphing calculator, determine the domain and range of the function. f(x)=√√x-17

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Q: Select all of the graphs in which the intermediate value theorem would apply for the interval [1,5].…

A: For Intermediate Value Theorem the function should be continuous in the closed interval.  For our…

Q: Find (fog)(x) and (gof)(x) and the domain of each 17. f(x) = x + 3, g(x) = x − 3 -

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 16 foot piece of string is cut into two pieces so that the longer piece is 1 foot longer than twice…

A: Given query is to find the length of the pieces of the pipe.

Q: Complete the sentence below. 5 3 2 If f(x) = -3x³ + x² - 6x +9, then lim f(x) =_ X→-00 and lim f(x)=…

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Q: Widget Sales Jesaki Inc. is trying to enter the widget market. The research department established…

A: Widget Sales   Jesaki Inc. is trying to enter the widget market. The research department…

Q: The domain of the function f(x)=√54-4 Note: Write your answer in interval notation. If the answer…

A: We have given function  fx=54-4x Domain is the values of x for which a function is defined.…

Q: Write an equation of a line that passes through (-5,5) and is perpendicular to the line defined by…

A: We know when lines are perpendicular then product of their slopes equal to -1 Slope-intercept form…

Q: currency exchange rate in Mexico is 0.076 U.S. dollars for 1 Mexican peso, how many Mexican peso…

A: Given query is to find the Mexican peso in 190 dollars.

Q: Which function is represented by the graph below? 6 7 8 9 101

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Q: Complete the following for the system of equations. 4x - 8y = 7 1.2x2.4y = 2.1 (a) Use a graphing…

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Q: An error was made in solving the linear system below. Identify it. 3x + 5y = 0 → – 241 – 401=0…

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Q: For the table below find the first differences. Write the equation and graph it. X -2 -1 0 1 2 y 23…

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Q: Graph the set (x1<x<4} on the number line. Then, write the set using interval notation. -7 + + -6 -5…

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Q: Write an equation in vertex form of the parabola that has the same shape as the graph of ​f(x)=…

A: I am attaching image so that you understand each and every step.