he equation of the line that passes through the point (-4,-2) and is parallel to the line y=4x-8 is bartlebythe equation of the line that passes through the point (-4,-2) and is parallel to the line y=4x-8 is

Q: Evaluate: sec²(4t) [3-tan(4t)]³ dt a.-16 [3-tan(4t)] + C b. | [3 –tan(4t)] + C 4 OC. 1 [3-tan(4t)]…

A: integration

Q: B. The maximum value of f(x) is h. OC. The graph of y = f(x) is a parabola. D. If a 0, then f has a…

A: Topic:- calculus

Q: For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of…

A: A 10‐ft ladder is leaning against a house on flat ground. The house is to the left of the ladder.…

Q: Question Use the binomial series expansion, 1 for the function f(x) (1 - 2x)² If necessary, round…

A: Let's find.

Q: Evaluate the integral order of integration. NOTE: Enter the exact answer. I fe e² dx dy= = e² dx dy…

A: Given:         ∫06∫y23ex2dxdy  Reversing the order of integration.       y2≤x≤3    y≤2x≤6…

Q: Set up the integral to find the area of the region bounded by y = r² − 1 and y = x + 5.

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Q: Find the divergence of the vector field F. F(x, y) = 4xe*i - 6x²y²j

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Q: Convert the following lines to parametric equation. a) l₁: = (1,0,1) + t(1,0,−2), t = R Z-3 b) 1₂: x…

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Q: 2. dx ***S 1 - x4

A: Integral

Q: a 10-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

A:

Q: 1. A man on a wharf, whose hand is 8.2 m above the level of the water surface is pulling a rope tied…

A: Given;  Rope length =20m Height =8.2m

Q: (1 + x³) dy - x² y dx || 0

A:

Q: Evaluate the iterated integral. [²] (x² - y²) dy dx

A: Given: I=∫-11∫-44x2-y2dydx   As we know that; The Power rule; ∫xndx=xn+1n+1+C

Q: 9. f(-5) = (5)²-19 = 25 -19 -6 b. lim x²-19 X→-5 = (-5)² -19 = 25-19 = 6 с C f(-5) = lim f(x) X-7-5…

A: Solution is given below:

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A:

Q: Use the First Derivative Test to find the location of all local extrema for the function given…

A: We need to find extrema points at x.

Q: - x³ + x² + 2x + 1 (x² + 1)(x² +2) da

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Q: Of all rectangles with a perimeter of 10, which one has the maximum area? (Give the dimensions.)

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Q: At what points c does the conclusion of the Mean Value Theorem hold for f(x) = x³ on the interval…

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Q: find a formula for the function passing through (-1,5/3) and (1,15).

A: Solution: Given : (-1,5/3) and (1,15) We know the exponential function of the form f(x) = aebx

Q: Determine whether the improper integral diverges or converges. [.. cos(2x) dx converges diverges…

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. 2 YA a. f*…

A: solution is given below..

Q: find dy/dx of each equation using implicit differentiation. a. y4 -2y2x2 + 3x2 = 0 b. (x + y)3 =…

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Q: Evaluate the following integrals. Show complete solution and your answer must be in simplified form.…

A: To Find :   ∫11+cosxdx

Q: Consider a triangle ABC like the one below. Suppose that C= 123°, a= 15, and b=37. (The figure is…

A: The Cosine rule; a2=b2+c2-2bccosAb2=a2+c2-2accosBc2=b2+a2-2abcosC Given: C=123°, a=15, b=37

Q: 0 3. Evaluate the definite integrals: (a) CS Scanned with CamScanner² (x² – 3x) dx (b) 5 1 √I -d.x

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Q: 27. ·√ √(x + 2√1-x²) dx _28. [₂ (2+√9 − x²) dx -3

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Q: 5-39+370=?

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Q: 25-28 Use Theorem 5.5.4 and appropriate formulas from geometry to evaluate the integrals. 25. L²₁ (4…

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Q: Find d² y dx² for x³ + y³ = 2 43

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: 4 3 2 +..

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Q: Let m(x) be the slope of the tangent line to the curve y = 2x³-6x² + 3x at the point (x, y). Find…

A: Given: y=2x3-6x2+3x

Q: Find the future value of a $20, 000 annual income stream if it is invested immediately as it is…

A:

Q: Use a graph to estimate the coordinates of the lowest point on the curve x = t³ - 31, y = 1² +1+1.…

A: Consider the parametric equation x=t3-3ty=t2+t+1 Sketch of the parametric equations is shown below.

Q: find the equation of the line that passes through the point (-1,3) and is parallel to the line…

A:

Q: Given that f (t) = t³e²t sint, which process will yield the less complex and correct Laplace…

A:

Q: Find the differential equation of the family of circles of fixed radius r with center on the x-axis.

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which ff(x) dx = 4.…

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Q: ³√xy = 2x²y-8x

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Q: Find the surface area generated by revolving one arc (first quadrant) of y = cos x about the x-axis.…

A:

Q: Evaluate the following 1. S sin x sin (cos x) dx

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Q: A street light is at the top of a pole that has a height of 15 ft. A woman 5 ft tall walks away from…

A: Consider a function y = f(x) .Then f '(x) is the rate of change of y with respect to x.

Q: 2. Let f be the function from {a, b, c, d, e} to {1,2,3,4} with f(a) = 3, f(b) = 1, f(c) = 2, f(d) =…

A: givenf(a)=3f(b)=1f(c)=2f(d)=4f(e)=2

Q: Evaluate the following limit using L'Hospital's rule. Enter an exact answer. Provide your answer…

A:

Q: The f sin x cos²xdx is x sin 4x {A} 16 64 sin 4x x {B} 16 16 O A B O - sin³2x 48 sin³2x 48 +C + C…

A:

Q: 3-2ey 3y-zey dy is Зу-2еу {A} - In|3y - e²y|+C The f

A: we have to find the integration.

Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m − n)] dx…

A: Let's find.

Q: An airplane leaves City A and flies 125 km due north to City B. It then turns through an angle of…

A:

Q: Two poles are connected by a wire that is also connected to the ground between the poles. The first…

A: Given: