Suppose that the function g is defined, for all real numbers, as follows 3 g(x)=(x-1)²+1 if−1

Q: Use the Laplace Transform to solve the IVP: y' + 6y + 13y = 13μ4 (t) with y (0) = 3 and y' (0) = 1

A: NOTE: Refresh your page if you can't see any equations. . take Laplace on both sides here we have…

Q: Speed of the wind: miles/hour plane has a cruising speed of 250 miles per hour when there is no…

A: Solution: Given data, Speed of the plane at no wind = 250miles/hour  The plane flew 300 miles with…

Q: Quadrilateral KLMN is similar to quadrilateral OPQR. Find the measure of side PQ. Round your answer…

A: If we rotate the figure OPQR by 90° in counter clockwise direction then both figure will look…

Q: Two factory plants are making TV panels. Yesterday, Plant A produced 3000 fewer panels than Plant B…

A: Two factory plants are making TV panels. Plant A produced 3000 fewer panels than plant B did. Two…

Q: Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). 1 t³ k 2 r(t) = 3t²1 – 3tj + 2 (a) r(t) (b) r"(t)…

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Q: Puji paid $7.50 for three pounds of gummy candy. Assuming the cost per pound of gummy candy is…

A: calculation of cost of 2 pounds candy and other requirement are as follows

Q: A population numbers 15,000 organisms initially and decreases by 8.7% each year. Suppose P…

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Q: 8. Evaluate the limit by using a change of variable. d. lim c. lim x-1 x - 1 1 - عام e. lim -1 f.…

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Q: Find the set AUB. U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10) A={1, 2, 5, 8) B = {4, 8, 6)

A: The given sets, U=1, 2, 3, 4, 5, 6, 7, 8, 9, 10A=1, 2, 5, 8B=4, 8, 6 We have to find the set A∪B.

Q: Solve the initial value problem 2yy' + 6 = y² + 6x with y(0) = 5. a. To solve this, we should use…

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Q: Write an equation for a rational function with: Vertical asymptotes of x = -2 and x = -1 x…

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Q: Find the quotient and simplify. u²-v² 2²-2² ²-vu (Simplify your answer.)

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Q: If inflation has been running at 4.9% per year and a washing machine costs $440 today, what would it…

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Q: Solve by the elimination method. 6x+6y= - 36 - 6x + y = 57 Select the correct choice below and, if…

A: To solve system of equations by elimination method

Q: A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 8 large…

A: A fruit company delivers its fruit in two types of boxes: large and small.  A delivery of 8 large…

Q: Because of advancements in communication and information technologies, workers are increasingly able…

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Q: Say your gross pay is $51,212 annually. You take home 85% of it. Figure out how much you take home…

A: Simply calculate the percentage of total income spend in each category.

Q: The coefficient matrix for a system of linear differential equations of the form y'= Ay has the…

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Q: Use logarithms to solve the problem. The rule of 70 is a rule of thumb for estimating the doubling…

A: GivenThe rule of 70 is a rule of thumb for estimating the doubling time of a quantity (e.g.,…

Q: The following is an addition problem in decimal notation. Each letter represents a different digit…

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Q: If x < 1, the indefinite integral 1 /₁ [1 + x200 can be written as a power series Σ1Cx20-n-19 + C₁…

A: According to question,Given Integral,∫11+x20dx

Q: Given f(x)=x²+3x, find the equation of the secant line passing through (-6, f(-6)) and (1, f(1)).…

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Q: For each of the following, setup a system of linear equations that can be used to solve the word…

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Q: What does the Tin Man think the combined total of S2 and S3 is? $

A: Total of a,b means to find a+b.

Q: You are the loan department supervisor for a bank. This installment loan is being paid off early,…

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Q: (d) 2 dimes is what part of a dollar? (e) 24 ounces is what part of a quart? (f) 24 ounces is what…

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Q: Let V be an inner product space. Prove that for all u, v EV, ||u + v||²+ ||uv||² = 2||u||² +2||v||²…

A: Please see the below picture for detailed solution.

Q: Statistics indicate that the world population since world war II has been growing exponentially. If…

A: The given exponential growth model is:P(t)=41.017t

Q: Use spherical coordinates to integrate f(x, y, z) = √ x² + y² + z² over the solid E between the…

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Q: = {[3] [7²]} and T = Let S and T be bases for R2, where S= and T=131-1 Find the change of base…

A: According to question,Given data,Let us assume s and T be bases for ℝ2,where,S = 13, -21T = 83, 47

Q: 4. Show that: f(x) = 2²²₁ x+1 f'(x) = = 4x (1+x²)(1+x)(1-x) (x¹+1)² a. What are the critical points…

A: Given functionL:- fx=2x2x4+1

Q: Simplify the given mathematical expression: 53246 +2

A: As we know from the BODMAS Rule: Bracket  or →Order  or x2 .. →Division ÷→Multiplication ×→Addition…

Q: Question 22 Suppose Alex wants to get a C+ or better in his math class and his instructor says a C+…

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Q: In mathematics, we simplify expressions to make it more simpler in context. For example, the…

A: In mathematics, we simplify expressions to make it more simpler in context. For example, the…

Q: How would this be done in substitution method: 2x + 3y = 8 -4x - 6y = 6

A: We will use simple steps of substitution to  solve this.

Q: Identify the computation being modeled on the number line below and briefly justify your answer.…

A: To Identify : Computation being modeled on the give number line

Q: Oppgåve 2. a) Use row and column expansion and calculate the determinant of the matrix [2 1 -1 0 b 2…

A: Please see the below picture for detailed solution.

Q: Write an equation for the ellipse centered at the origin with vertices located at (-12, 0) and (12,…

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Q: Mary and her husband are each starting a saving plan. Mary will initially set aside $250 and then…

A: Given:- The Amount A=250+165NThe Amount B=395N

Q: 7. Complete multiplication and division of your pair of complex numbers in polar form (a) X.Y (b)…

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Q: Use the accompanying Venn Diagram, which shows the cardinality of each region, to answer the…

A: Given:  A Venn diagram is given below. To Find:   To find the number of elements that belong to set…

Q: Find a general solution of the linear system below. x'= - 12x + 4y, y'' = 3x - 13y Solve for x(t).…

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Q: Write an equation for the function graphed below -7 -6 -5 -4 -2 -1 4 3 2 7 -2 -3 -4 -5 456 Q

A: Given,

Q: Simplify the expression. d-8 2 -64

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Q: Use spherical coordinates to integrate f(x, y, z) = √√ x² + y² + z² over the solid E between the…

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Q: Subtract. Simplify the result if possible. 5a a²-5a-6 5a-6 a²-5a-6 5a a²-5a-6 a²-5a-6 11 (Simplify

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Q: Jump to level 1 Given the following system, use Cramer's rule to find 3. 21 - 2x2 + 6x3 = 22 1 x2 +…

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Q: Multiply. Simplify if possible. 5x+5 5x+5 7 7 20x+20 20x + 20 11 =

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Q: Write the quadratic function in standard form. f(x) = x² - 4x f(x) = Sketch its graph. 10- 9 8 7 6…

A: The quadratic function f(x)=x2-4xin standard form: Concept: f(x)=ax2+bx+c in standard form…

Q: Write an equation for the polynomial graphed below 5 3 MI -5 -4 -3 -2 -1 2 3 4 5 -1 -2 -3 -4 y(x) =…

A: The given graph is:   To write an equation for the polynomial