B. Directions: Find an equation of the tangent line to the graph of the equation at the given point. Sketch the graph and show a segment of the tangent line at the point. 1. y = 2x² + 4x; (-2,0) 2. f(x) = x³ + 3; (1,4)

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. S r xy dy dx dz 0,

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Q: 1. Find the maximum value of the function f(x.y)= 4x + 2y +x* - 2x*+ 2xy– 3y° on the interval –2 to…

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Q: If matrix A is 2 by 4 and matrix B is 3 by 5 then AB is by If an answer does not exist, enter DNE.…

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A: The given differential equation,dydx=e3x+2y

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Q: Suppose f'(x) = sin(2a“). d f(2x) dx d f (62*) = [ dx

A: topic - derivative using chain rule

Q: Given: U = {x/x < 21 } note: x are integers A = { x/ x< 11} B = {x/x even nos. < 21} C = {x/x…

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Q: Use the power reduction formulas to rewrite the expression, sin2(6x)

A: Given query is to rewrite the expression.

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Q: QUESTION 2 Assume that the linear cost and revenue models apply. An item costs $2 to make, If fixed…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. p5-y y dx dy 3y

A: the solution is as follow

Q: Given the following optimization problem: max(500-q)q-50q q*=50 O True O False

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Q: Given the differential equation 9 y' y" Using Reduction of Order and the letter "R" to this…

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Q: 14. dy, where C: x = t, y = t², for 1 <t<2

A: Here, to evaluate: ∫Cxydy=∫12tt2(2t dt)=2∫12dt

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) + 48 dx

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Q: t2 + 5 1 lim →+∞\ 9t2 + 10' 2t (?, ?)

A: Given

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Q: Write each complex exponential function as a sum of its real and imaginary parts: (4.053 + 2.042 i)…

A: Write the complex exponential function as a sum of its real and imaginary parts.4.482+4.681…

Q: For the integral, / tan'x sec*x dx, if we let 4=tan x, what is the re-written form of the integral?

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Q: x² sin 2x dx

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Q: 7. Determine the magnitude and (-2,–1) and a terminal point o

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Q: Evaluate the definite integral. e6t i + e¬j +t k )dt O e6 - i - e- 6. + (e* – 1) i – (e-1 – 1) j + k…

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Q: Vxdx 10. 9+x4 3/4

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Q: Find a and d for f(x) = a cos(x) + d such that the graph of f matches the figure. y 2 -2 -4 f -6| a…

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Q: [43 80 -60 Let A = Find an invertible matrix X and a diagonal matrix D such that [30 60 -42] D =…

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Q: Question

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. LLL. yz dx dz dy -60 -90

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