Graph the following system of equations. x - 4y= -1 4x-3y=6 Use the graphing tool to graph the linear equations Click to enlarge graph 10 10 3 6 14- Ay 42

Q: Consider the line with equation y = 2x + 2. This cuts the x-axis when x is equal to what value? Give…

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Q: domain of g(t)= sin(et-1)

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Q: 1. Find the G.S. and P.S. of y" = 6x, y'(0) = 2, y(0) = 1.

A: We can solve the given differential equation by using the variable separable method.

Q: 3. Determine the Present Value of an annuity which provides payment of $1200 every month for 6…

A: Concept: Future value: Amounts of money or streams of cash flows that are anticipated in the future…

Q: The point P(1, 1/9) lies on the curve y = x/(8 + x). If Q is the point (x, x/(8 + x)), use a…

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Q: The function x²y=4+Cy is the solution to the Differential Equation 2y'+xy²=0 Note: C is arbitrary…

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Q: 3. The 3rd term of a geometric sequence is 12 and the 7th term is 192. Determine the 13th term.

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Q: The unit cost, in dollars, to produce tubs of ice cream is $12 and the fixed cost is $7200. The…

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Q: use the limit comparison test to determine if the following series converges or diverges (hint :…

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Q: Tara has decided to start a walking program.Her initial walking time is 5 minutes. she plans to…

A: We will find the required.

Q: The graph gives the number of farms in the United States from 1850 to 2000. y 7000 6000 5000 4000…

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Q: 3. Which of the following functions, 2 x(t) = 1, x(t) = ²/₁ is a solution to the DE x'= -x²? x(t) =…

A: As per our guidelines we are allowed to solve only 1 complete question. kindly repost others. THANK…

Q: For each equation, solve for X, Y, and Z. 1. 2X + 4Z 1/2Y

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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: 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: Find the volume, V, of revolution about the x-axis for the region under the graph of f(x) = e¯* over…

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Q: IF x = f(u, v), y =g(u, v) then gu fugv-fugu au 8x

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Q: 3. ) Suppose Australia's aggregate income (Y) has two components: aggregate consumption (C) and…

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function in this…

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Q: The body mass index (BMI) is a number that can be calculated for any individual by using the…

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Q: a) x' = 2, x = t². t b) x' = -1, = √6-1² X =

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Q: (x) Given fx = x² In 9x Differentiating both side wrt x r(x) = (x² In 9x) d dx

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Q: 58)941

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Q: What is the degree of f(x, y) = 2y + √x² + y² ? 01 00 O 1/2

A: what is the degree of f(x,y)=2y+x2+y2 degree: it is the highest power of function

Q: Find the vector parametrization r(t) of the line L that passes through the points (2, 2, 5) and (6,…

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Q: Practice Composition of Functions Given f(x) = 2x² +8 and g(x) = 5x - 6, find each function. 1.…

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Q: 12. Find and simplify f(x)−ƒ(a) - for each of the following functions. x-a (a) y = f(x) = x² +4 (b)…

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Q: Given that: lim lim I →→ 8 I→ 8 f(x) = 2, lim 2. f(x) = g(x) h(x) = I-8 g(x) = = - 3, and lim I-8…

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Q: Let f(x)= -2x^2-x, if x1 Find limx-1- f(x).

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Q: Use the equation = Σ x" for |x| < 1 to expand the function in a power series with center c = 0. n=0…

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Q: Find equations of the lines through the given point parallel to the given line and perpendicular to…

A: To find out the equation of line that passes through the given point and parllel and perpendicular…

Q: 9. 54 = a¹

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Q: Name: Turning Points, Increasing, Decreasing Interva 1. Below is the graph of the function f(x).…

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Q: derivative of the function using the definition of derivative: g(t)=5/√ t

A: Given query is to find the derivative using definition of derivative.

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

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

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Q: Question 12 What is the equation of the line that is vertical and passes through the point (3,-2) ?…

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Q: 1. Determine the common difference for the sequence: 7, 2, -3, -8, -13, ... a. -5 b. 5 C. -7 d. 9

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Q: The cost, in dollars, to produce a designer dog leashes is C(x) = 7x + 1, and the price-demand…

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Q: -5 -4 -3 -2 -1 O 3 2 1 7 -2 -3 -4 5 2 3 Write the domain of the function above using interval…

A: Domain is the set of  x-values for which function is defined.

Q: For the equation, find the slope m and y-intercept (0, b) (when they exist). (If an answer does not…

A: The given equation y=-2 we have to find the slope and y-intercept of the line

Q: 4. Show that both x₁ (t) = et cost and x2(t) = et sint are solutions to the second-order…

A: To show that both x1t=e-t cos t, and  x2t=e-t sin tare solutions to the second‐order differential…

Q: E] Find domains and ranges of the following relations? Write domains and ranges in interval…

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Q: 4. lim-0 A. B. 1 C. sin D. Does not exist E. -1

A: We need to find limit.

Q: у 1 0 1 do Ч 6 X

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Q: Calculate the Taylor polynomials T₂ and T3 centered at a = 2 for the function f(x) = x² – 3x. (Use…

A: nth Taylor Polynomial of f(x) at x=a :                Tn(x) = ∑i=0n fi(0)i!x-ai =…

Q: 26. What does the alternating series test tell us about A. The series is converges absolutely. B.…

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Q: The unit cost, in dollars, to produce bins of cat food is $2 and the fixed cost is $11524. The…

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Q: 1. S e²x dx √25-4e4x

A: I=∫e2xdx25-4e4x This can be written as: I=∫e2xdx51-425e4x I=∫e2xdx51-25e2x2

Q: 6. What is the equation for the slope of the ellipse+-1 at 1 at (x₁, ₁)? A. B. C. D. E. y' = -21 y'=…

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