A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at the rate of 0.4 m/sec. How fast is the top sliding down the wall when the foot of the ladder is 5 m from the wall?

Q: A bacteria grows using the given model: dB/dt = 0.2B(1 - (B/100)) ; B(0) = 5 Find B(t). Find the…

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Q: Find the higher order derivative a. y = 49x49 ; find d50y (50th de dx50

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Q: 32) Use the scalar triple product to determine whether the points A(1, 3, 2),  B(3, -1, 6),  C(5, 2,…

A: This question is related to Vectors, we will solve it using given information.

Q: Nhich of the following p-series are divergent? 00 ロと-4 S ロEsk-品 Σ 6666 10000 k38 ロと-7 1 k=7 ロEk…

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Q: Determine the derivative of the ff. functions. 5. y = 3 tan 3x, 2nd derivative 6. y = 6 csc x, 2nd…

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Q: What is 56÷4

A: 56 divided by 4=14

Q: Find the angle e between the vectors in radians and in degrees u = cos()i + sin()i, v = cos( )i +…

A: Answer as follows

Q: 2. b. lim a Csinza +cosa sin29) のッb ト Co」?a

A: find limit

Q: A 2sin(/x)-2/xcos(/x)+ C B) None of the given Choices © 2/x sin(x)-2cos(x)+ C 2sin(/x) +2/xcos(/x)+C…

A: We will find the integral.

Q: 1-х 3 c) y = xx

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Q: 3-1 D. Is the function k(x) = x2-1 2,x = 1 continuous at x = 1? %3D

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -7i + 48j – k v = 7i + j – k O…

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Q: Sx²cos(2x)cx Evaluate:

A: This is a problem of integration. Based on the multiplication rule of integration we will solve this…

Q: Determine the value of C in on the antiderivative of F(X) = sin (x)cos"(X) for x= 0.16 and y- 1.2.…

A: To determine the value of C in on the antiderivative of Fx=sin3x cos5x for x=0.16 and y=1.2.

Q: Find the general solution of the differential equation y" +2y + 5y = 5 sin(2t). NOTE: Use c, and cg…

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Q: Directions: Determine whether the given functions is continuous, differentiable, neither, or both at…

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Q: A triangular lot bounded by 3 streets has a frontage of 300 feet on one street, 250 feet on the…

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Q: xydy - (y – 3x²) dx = 0

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Q: xsin-1(x) is 1– x² If x =0.58 and y = 0.31, then value of C in the antiderivative of F(x) = %3D %3D…

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

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Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted…

A: Topic = Integration

Q: 5. y = sin* x + cos* x

A: y= sin4x + cos4xdifferentiating w.r.t. x;dydx=ddx(sin4x) +ddx(cos4x)     =4 sin4-1x ddx(sinx)…

Q: = 2xy – x y = e"C+ | In(2y + 1) = -a² + C Option 3 Option 4 In(2y – 1) = -x² + C None of the choices…

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Q: For the length of the polar curve: r = 2cos(theta) ; 0 < theta < (3pi/2)

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Q: y(x) = x³(2x – x²)

A: given y(x)=x23(2x-x2)y(x)=x232x-x23x2       =2x23+1-x23+2       =2x53-x83

Q: Rand your an swer to the neullse thousandths. Whad yalve oftwll U:lil!1!

A: To find the value of t when the function value is 1111.

Q: Late dx sec2 x (b) [*. dx /1 – tan² x VT(x+4) |

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Q: The relative error in an approximate solution is 0.004%. The number of significant digits in the…

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Q: Find the relative maximum /minimum values of the function x-2 f(x) = x+2 %3D State where the…

A: Given problem:- Find the relative maximum / minimum values of the function   f(x) = (x - 2)/(x + 2)…

Q: f(x)=3x2-12x+5 and the closed interval [3,0] Which of the following is the absolute maximum and…

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Q: 5* = e*+4 %3D Round your answer to two decimal places. i

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Q: 8) Find the cross product a x b and verify that it is orthogonal to both a and b. a = (1, 1, -1),…

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Q: Evaluate the integral: 5x/8x² – 1 dx - 5 (8x2 – 1)- + C (8a? – 1)-+ C (822 – 1) + C -(8x2 – 1) + C 8…

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Q: Given the following matrices, perform the indicated matrix operation. 1 7 8 [5 1 2 -2 -4 A = 3 -6 -9…

A: To perform the indicated operation for the given matrices.

Q: A cylindrical can is to be made to hold 1 L of oil. Find the dimensions (in cms) that will minimize…

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Q: Differentiate the function. (4t + 1)3 (5t – 1)4 F(t) = In F'(t) =

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Q: 2. ts): Find the absolute maximum / minimum values of the function f(x) = x(6-x) over the interval…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y – 2z = 5 4x - 20y - 4z =…

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Q: The coefficient of Sin(x) in the antiderivative of F(x) =| cos is 17/16

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Q: - F(x) = f(x) + g(x)e* + h(x)e2x + C be the antiderivative of G(x) = (= termine the value of f(x)+…

A: We will find the value of the function.

Q: Integrate the following using Partial Fractions. 1. S a dz r2-3x-4

A: Solving the problem by finding the integration.

Q: Consider the following. u = (3, 7), v = (4, 6) (a) Find the projection of u onto v. (b) Find the…

A: We can answer both the question in the following steps.

Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 4? y = 2 + 2ex 3x…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: a) Evaluate the following integrals: eta TT/2 sin5e do tan 0 + tam30

A: ∫0π/2sin5θtanθ+tan3θdθ=substitute…

Q: Differentiate the function In x f(x) = %3D In 2x+3

A: Given function f(x)=lnxln2x +3

Q: Find the points on the curve where there is a horizontal tangent line: x = 5cos(t) ; y = t3 - 3t2 +…

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Q: Evaluate the limit of f(x) numerically or state that the limit does not exist. 2x2- f(x) = - 162 x +…

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Q: , when the temperature of the air is 290 Kelvin, a certain substance cools from 370 Kelvin to 330 K…

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Q: Given a vector with the initial point, (3,1) and the terminal point, (-4,2), find unit vector form.…

A: Given query is to find indicated vector.

Q: Evaluate: Jx?cos(2x)dx (A None of the above 2x sin(2x) – 2xcos(2x) + sin(2x) (B +C 4 2x?sin(2x) +…

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