A cereal box is 2 inches wide. The height of the box is 3 inches more than the length. The volume is 216 in³, how tall is the box?

Q: Use the Remainder Theorem to find the following: Let f(x) = 8x² - 4x + 5. When f(x) is divided by x…

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Q: Find the general solution to the given differential equations. Assume that y are functions of x. 111…

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Q: Use Cramer's rule to compute the solution of the system. 6x₁ + 4x₂ + 2x3 = 6 2X1 + 3x3 = 4 - 2x1 +…

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Q: A vehicle purchased for $32500 depreciates at a constant rate of 5%. Determine the approximate value…

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Q: 3. (E1.7-Q8) Find A², A-2, and A-k (where k is any integer). -6 0 0 0 0 30 0 5

A: To find , , and  (where  is any integer).

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A: The given set of vectors .We have to find the basis for the given set.

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Q: 1. Given points A(2,-6) and B(-1,5). Find the mid-point, length and slope of line AB.

A: Formula used

Q: find the general solution to the differential equation (D^4 +2D^2 +1)y = 0

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Q: Find all values of c, if any, for which the given matrix is i /c 1

A: The matrix is given as .

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A: We have to identify all the local maximum and minimum values for the function

Q: Function? Function? -2 -1 Graph 1 24 OYes -8-6-4 -2 OYes Graph 4 6- 4+ ²2+ O No 4+ -6- -8+ 2 4 6 8 O…

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Q: A moving truck rental company charges $28.95 to rent a truck, plus $0.71 per mile. Suppose the…

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Q: et f(x) = (x − 1)¯. ind a domain on which f is one-to-one and non- Find the inverse of f restricted…

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Q: 45 ÷ b = 5 Are 45 and 5 constants because they are both terms without variables?

A: we have given equation "45 ÷ b = 5 "in this equation we need to find the constants.

Q: In this problem, y=(1)/(x^(2)+c) is a one initial condition. y(3)=(1)/(5)

A: Using given initial condition, we can find value of c and thus the equation.

Q: can you number the steps 1-4 please

A: We have,     (x2 + 2xy + y2 )2

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A: f(x)= x3+19x2+155x+425One root of f(x)= -5We have to find all the other roots using synthetic…

Q: Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20…

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Q: Solve the following system algebraically (9x² + 7y² = 85 7x² + 8y² = 84

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Q: Perform the indicated operation. Show your work using the Equation Editor Tool. (x³ - 4) (2x³4x²+3)

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Q: The train station clock runs too fast and gains 7 minutes every 2 days. How many minutes and seconds…

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Q: An open box is to be constructed from a square sheet of metal with dimensions x feet by x feet by…

A: given the volume V of the box is ​V(x)=(x−2)^2.

Q: Expand the logarithm. log. (#) Paragraph Add a File BI Uv Αγ Record Video lılı < |||| < 8! O + < ...

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Q: Find the rank of the matrix A = 0 1 16 14 -3 1

A: Note:To find the rank of a matrix, transform the matrix into its echelon form. Then, find the rank…

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Q: Use the graphs of f(x) and g(x) to determine all of the solutions of the equation f(x) g(x).…

A: Given:We are required to:

Q: How many solutions does the following equation have over the interval [0,2\pi )? 7sin(x)-6=0

A: The given equation is 7sin(x)-6=0, where x belongs to [0, 2pi).

Q: Find ||u|, |v||, and ||u + v. ¹=(-¹,-/- ), v=(4,-/ ) V= (a) ||u|| (b) ||v|| (c) ||u + v

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Q: 2 la for the exponential function passing through the points (-1,) and

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Q: During normal breathing, about 12% of the air in the lungs is replaced after one breath. Write an…

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Q: Compute the product AB by the definition of the product of matrices, where Ab, and Ab₂ are computed…

A: To compute the product AB by the definition of the product of matrices, where  and   are computed…

Q: For the given function, compute the missing values in the following table. f(x) = 8x X f(x) -24 -3 X…

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Q: Which of the following has a slant asymptote when graphed? C 4x y = x+2 1= Oy y = Y 3x³-1 x+2 2x²+3…

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Q: Use the graph to determine a. open intervals on which the function is increasing, if any. b. open…

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Q: H(x)-g(x) H(x) = 18x^2+6x-24 G(x)=3x-3

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Q: Let f(x) = (x + 9)² Find a domain on which f is one-to-one and non-decreasing. Find the inverse of f…

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Q: Use the ALEKS graphing calculator to solve the equation. cos2x=0.4x-1 Round to the nearest hundredth…

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Q: Evaluate the exponential function f(x) = 8-ª Enter the exact answer. Do not enter a decimal…

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Q: (-1, 1) relative min: absolute min: relative max: (2, 3) absolute max: (3,2) Determine the local…

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Q: If ƒ (x) = (x + 3)², find ƒ(7). 49x² +42x +9 58 100 121

A: The given function is To find the .

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A: The following information is from an annually compounded interest account. To find the annual…

Q: Determine the limit using algebraic techniques (not by using a table). 4-√√√x lim x-4 16x - x²

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Q: The total resistance, RT, for a parallel circuit with two bulbs, R₁ and R₂, is given by the…

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Q: Compute the derivatives by any method (do not oversimplify): g(x) = (ex + 1)(ex + 2)(ex + 3)

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Q: 5 173³ -x - 3. Make sure to select solid or dashed line from below. 5 4 Graph the inequality y > -5…

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Q: 2√3(x - 1) - 3. What are the domain and range Consider the function y = of the function? Show your…

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