A consumer purchased a computer after a 20​% price reduction. If x represents the​ computer's original​ price, the reduced price can be represented by​ _______

Q: Evaluate the following limit: lim O O O 6x²+17x-3 lim x→∞ 5x²+14x-3 6x²+17x-3 lim x→∞ 5x²+14x-3…

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Q: 3. Consider the initial value problem y′ +y=1-², y(0) = 30› where yo denotes some real constant. (a)…

A: To find the solution of given differential equation.

Q: Question 16 Eliminate the arbitrary constants of y=c₁e³+₂x4-sin 3x

A: We are given a differential equation,  y = c1ex +c2x4 -sin3x   ... @ We havet o eliminate arbitrary…

Q: Find a unit vector in the direction in which f(x, y, z) + == Z y² increases most rapidly at P(1, 2,…

A: Given f(x,y.z)=xz+zy2,point (1,2,-2) The objective is to find the unit vector and rate of change of…

Q: Use the Fundamental Counting Principle to solve:An ice cream store sells two drinks sodas or milk…

A: Given data:- The given store gives two types of drinks Soda or milkshakes. There are given four…

Q: Graph the functions ƒ(x) = sqrt(x )and g(x) = sqrt(1 - x) together with their (a) sum, (b) product,…

A: Given data:- The given functions is, fx=xgx=1-x

Q: A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people…

A: Given: n = 13 r = 6 Formula Used: Number of ways  Crn = n!r!(n-r)!

Q: If f (x) = x2 - 2x, find f (a + 1) and f (a + 2).

A: Given fucnction, fx=x2-2x

Q: f(x)=4ln(4x+6ln(x)), find f'(x).   f'(x)=

A: Given query is to find the derivative of the function using chain rule.

Q: Use a software program or graphing utility to solve the system of linear equations. (If there is no…

A:

Q: 0 PERTA C 2000 A television camera at ground level is 2000 feet away from the launchin to take off…

A: Let distance between camera and rocket =s ft

Q: Evaluate f(x) ƒ(1) = f(x + 7) = f(x) + f(7) f(x + h) = = = x + 2 at the indicated values.

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Q: 5 5 3 Suppose ff(x) dx = 25, f f(x) dx = 10, f g(x)dx = 10 and h(x) = = 3 0 0 the following: 0 b.…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: The graph of f(x) below has a hole when x=_ and y=

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Q: Learning Goal: To understand the continuity equation. Streamlines represent the path of the flow of…

A: part A Q=A1v1 Part B v2=A1v1/A2 Part c velocity

Q: graph each equation.   y = 2x

A: Given data:- The given equation is, y=2x

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 6√3 and whose components have…

A: Let vecter to be xi+yj+zk Then length of vector = √(x^2+y^2+z^2)=6√3

Q: Evaluate the following integral. dt -1² +8t-15 Rewrite the integrand by completing the square in the…

A: First of all we will solve the denominator then we will solve the integration.

Q: The limit lim h→0 f(x) a = = In(e +h)-1 h represents f'(a) for some function f and some number a.…

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Q: Determine how much time is requiredfor an investment to double in value if interest is earned at the…

A: Given data:- The given rate of interest, r= 6.25%  Assume the required time is t years.

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) A. For…

A: Given differential equation:- 4xq' + e2xq = 0

Q: What is the slope of the tangent line to the curve y^2-2x^2=6-2xy at the point (2,3) ?

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Q: Evaluate the following integral. S= 2 x³√x² - 1 dx =

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Q: Simplify the expression to a single trigonometric function. cot (t) csc(t)

A: cot(t)=cos(t)sin(t)csc(t)=1sin(t)

Q: 3. If 4. If the total cost function, in dollars, is C(x) = 2x³ -1 . Find the marginal average cost…

A: The objective of the question is determine the marginal average cost for the given cost function at…

Q: 11 Find the derivative of f(x) = -15sinx + +3√√x-5. X

A: Given function:- fx=-15sinx+11x4+3x7-5

Q: Find the average rate of change of f1x2 = 3x2 - 2, from 2to 4.

A: Given, fx=3x2-2,    2, 4

Q: Use the formula for nCr to evaluate the expression 12C5.

A: Given: the given expression n: 12C5. Formula Used: Crn = n!r!(n-r)!

Q: In this exercise you will conclude that a limit does not exist by computing the limiting using two…

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Q: (Question-Solution-Final Answer-Conclusion format) B. Generate differential equation by elimination…

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Q: Find the area bounded by the curves x y = 8 (in green), y blue) and the line 3y sliced pizza? 2 =…

A: Let's find area of the sliced pizza.

Q: (Question-Solution-Final Answer-Conclusion format) E. Generate solution of the first-order…

A: The solution of given exact differential equation is as follow.

Q: graph each function using the techniques of shifting, compressing or stretching, and reflections.…

A: Given, hx=2x-1

Q: 1. Find the center on the line y = x and passing through the origin. differential equation…

A: Need to find out the differential equation that represents the circles with center on the line y=x…

Q: Evaluate the integral. 11x² da (x + 1)(x² + 1)

A: This question can be solved using the concept of partial fractions.

Q: For the function f(x) = 5x² 2x, evaluate and simplif f(x+h)-f(x) h 11

A: f(x)=5x2-2x hence f(x+h)=5x+h2-2x+hf(x+h)=5x2+5h2+10xh-2x-2h

Q: Sketch the region bounded by the curve x 2 = y and the line x = volume of the solid generated by…

A: solution:-the region bounded by y=x2-2 & x=y+2revolving around y=1

Q: Let P = 1x, y2 be a point on the graph of y = x2 - 8.(a) Express the distance d from P to the point…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: You want to make an 80° angle by marking an arc on the perimeter of a 12-in.-diameter disk and…

A: Given data:- The given angle is, θ=80° The given diameter is, d=12 in So, the radius is, r=6 in.

Q: Use synthetic division to determine if the given value for k is a zero of this polynomial. If not,…

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Q: 6 5 4 3 نا 2 1 ¦ y = f(x) 01 2 3 Enter each answer as a whole number or a fraction, or DNE for Does…

A: The graph of the function is To evaluate: The values of limx→3+fx-4fx+4, limx→3-ffx+4 and…

Q: 10 cm 10 cm 5. A container has the shape of an open right circular cone, as shown in the figure…

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Q: 2 5. Sketch the region bounded by the curve x 2 = y and the line x = y + 2 and find the volume of…

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Q: Given f(x) = 4x¹n (x) " f'(9) _ answer the following:

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Q: a. Distribute b. Solve { ª²³ (a²³ + 2a ²).

A:

Q: A car has 12,500 miles on its odometer. Say the car is driven anaverage of 40 miles per day. Choose…

A: Given data:- A car has 12500 miles on its odometer Car is driven an average of 40 miles per day N is…

Q: Use the washer method to find the volume of the solid obtained by rotating the region bounded by y =…

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Q: Graph the function y = sqrt(|x|)

A: Given data:- The given function y= sqrt(|x|)

Q: Let ƒ(x) = x/x - 2. Find a function y = g(x) so that (ƒ ∘ g)(x) = x.

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Q: g(t) = -tan² (2+) +sin (3+¹+8+³) [[// (++1)]] cot " (cosh (3+1)), ift 71 if t <0 ifo≤t≤1

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