Find real numbers A, ℎ, and K so that −2x2 + 4x − 8 = A(x − ℎ)2 + k.

Q: Use partial fractions to find the integral f 17a-149 2-17+70 dr. O 10x + 70 ln 7-z|+7+70 In 10-x|+C…

A: I=∫17x-149x2-17x+70dx

Q: determine thcarem over all the of the the weather applies to numbers Mean the interval [35] C thart…

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Q: Rewrite each equation in exponential form 2) log₁, 121=2

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Q: Use finite approximation to estimate the area under the graph of f(x) = 6x² and above the graph of…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: The traffic flow rate (cars per hour) across an 200 + 700t 150t², intersection is r(t) = where t is…

A: r(t)=200+700t-150t2

Q: Let z = f(x,y) = 10x² − 4xy + 25y². Find the following using the formal definition of the partial…

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Q: A can in the shape of a right circular cylinder is required to have a volume of 500 cubic…

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Q: Write an equation for the graph. 1) -6 -4 -2 26 18 16 +4 42 16 8 y 2 6

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Q: Explain the meaning (by using intuitive definition) of each of the following equations. tan x (a).…

A: Given,limx→0 tan(x)x = 1we need to explain how we get this.as x→0 , tan(x)→0 and x =0 so, we get the…

Q: (42) The graphs of a function f and its tangent line are given below. In addition, suppose ƒ'(4) =…

A: The given details of function f(x):f'4=23f(4)=5

Q: x = 4 cost, y = 2 sint, t = - E|-

A: The slope of the tangent line to the curve is equal to the derivative of the given function at a…

Q: b) What will be the average cost per unit for the first 10 units

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Q: For the function f(x) = 3x²e²x find the points where the tangent to the curve is horizontal.

A: This is question of calculus  here function is given  we have to find tangent of horizon  further…

Q: Find all second order derivatives for z = 7ye4x. Zxx 0 Zyy = 3xy=2x =

A: The function is given by z = 7ye4x To determine: The expressions of zxx, zyy, zxy and  zyx.

Q: 9) f(x²-3)² dx

A: I=∫x2-32dx

Q: An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to…

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Q: Find a polar equation for the hyperbola with its focus at the pole and vertices (18, 0). (-90, π).…

A: Focus at the pole and vertices (18,0), (-90,pi).

Q: A solid is obtained by rotating the shaded region about the specified line. about the x-axis V = y 5…

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Q: 5.) Solve the Boundary value problem. y''+9y=0 , y(0)=0 , y(π)=0

A: y''+9y=0 , y(0)=0 , y'(π)=0

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: We know that the volume formula cylindrical shell method is  int_a^b 2*pi*x*(f(x)) dx

Q: Let f(x) = ln(xe7.) In f'(x) =

A: f(x)=lnxe7x

Q: 0 6 417 8x dx ㅋㅋ 0 3,417 an ○ 2x-417dx 34/7) ㅊㅈ -417dx ○ 2x1017 dx

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Q: The emissions, E, of nitrogen oxides in millions of metric tons per year in the US steadily…

A: E is the emissions of nitrogen oxides in millions of metric tons per year. t be number of years…

Q: Given the demand function D(p) = 275-2p², Find the Elasticity of Demand at a price of $6

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: 13) fx³ In(x) dx

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Q: part b is wrong ,please check again

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Q: A solid is generated by revolving the region bounded by the following about the y-axis. 1.2 y ==x y…

A: Given function y = 16x2y = 6

Q: A baseball team plays in a stadium that holds 58000 spectators. With the ticket price at $8 the…

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Q: 3 8) fx(x² − 3)dx -1

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Q: O Write an equation for an expone function with no horizontal or vertical shift that goes through…

A: The exponential function is of the form y=abx

Q: Using Cramer's rule to solve the following system of equations, what are ? 4x + 3y + 12z = -4…

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Q: If a = (2, -1, 9) and b = (8, 2, 1), find the following.

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Q: use the given information to determine the equation of the parabola. Vertex: (1,0), directrix: x =…

A: Vertex of parabola : 1,0Directrix: x=-5

Q: Find the component form of the resultant vector.  f= Unit vector in the opposite direction of f.

A: We know that the unit vector of A is  A/|A|

Q: 2 2人 y+3y+3y'+y=20

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Q: Can you do #3 please

A: To determine the convergence or divergence of the given series, we can use the Alternating Series…

Q: 9) Write the Maclaurin series for the given integral: cos(x²) dx

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Q: Evaluate the definite integral 7 Li (2x + 5) dx

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Q: Car A is traveling west at 50mi/hr and car B is traveling north at Gomi/hr. Both are headed fo the…

A: Since, we have been given that Car A is travelling west at 50 mi/hand Car B is travelling north at…

Q: Rounded to the nearest cent, find the amount of money accumulated in 10 years if $17,000 is invested…

A: we have given P=17000, time =10 years, and interest rate =7%=0.07

Q: 6) 1) (2x²-3x+2)dx -5

A: Given that integral is

Q: A population of bacteria is growing according to the equation P(t) = 1300e0.07t, where t is the…

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Q: 12. At which point A, B, C, D, or E on the graph of y = f(x) are both y' and y" positive? (a) A (b)…

A: Consider the curve

Q: Find the average value of the function f(x) = 4x² on the interval 0 ≤ x ≤ 3

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Q: Find the equation of a line tangent to the curve ²+²=9 at the point (2, √5). In addition, find the…

A: To find out the equation of the tangent line to the given curve at the point and also need to find…

Q: ch value of x does the tangent function have the value of √3 on the interval ? which value of x does…

A: tanx=sqrt(3)

Q: Convert the given i-system to an e-system using slack variables. Then construct a table of all basic…

A: Given that x1+x2≤6x1+4x2≤12x1,x2≥0 We have to convert the given i-system to an e-system using slack…

Q: 12) 2 3x2 (1+x²)

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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