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Q: Find the solution of the following system of differential equation: x' = -x +y - 8 y' = 3x + y – 4t

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Q: convert the above indefinite integrals into definate integrals using the intervals [0,1].

A: To Determine: Convert the above indefinite integrals into definite integrals using the intervals [0,...

Q: Question 10 Find the arc length of the curve y = J8sin()-1 1 dt for -2<x<2. Your answer: o V8 O cos(...

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Q: B. Use the definition of the derivative (the limit of a difference quotient} to find a formula in x ...

A: Given function : Using the definition of the derivative formula:

Q: Find the angle of smallest possible positive measure coterminal with the given angle. 926 degrees

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Q: y"' – 3y" + 4y = 6+80cos(2x)

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Q: The question with answer that has red triangle is a similar question with the correct answer there. ...

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Q: What are the possible angles 0 between two unit vectors e and f if ||e x f|| V? (Let 0 <o Sn. Enter ...

A: The modulus for the cross product for 2-unit vectors e and f are given. The modulus for the unit vec...

Q: 9. A water tank has the shape of an inverted circular cone with base radius 2m and height 4m . If wa...

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example tha...

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Q: Which of the following identities hold? Select all that apply.

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Q: dy Find if e = e" + sin(x2"). - dx

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Q: convert the indefinite integral into definate integral using the interval [0,1]

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Q: Evaluate the integral ∫dx / 1+cscx.

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Q: AB=74

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Q: A rancher raises chickens and pigs on his 500–acre ranch. Each chicken requires 1 acres of land and ...

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Q: 2

A: Given Take antidervative for the given integral using u-substitution

Q: Sketch the graph and find the area of the region described below. f(x) = -6 – VI 10 10 8 6 4- 2 -10 ...

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and...

A: Differentiate both sides with respect to t. Then plug x=4 and dx/dt=1

Q: The integral (16x² + 96x + 144)dx is approximated by the following left endpoint Riemann sum (each t...

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Q: Use the fundamental identities to find the value of the trigonometric function.Find cotθ,given that...

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Q: series bind the limi t use to Siny limit tary y?cosy

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Q: Evaluate the expression 2a-(9-(b+(c)))+32-(a-b+2c) at using the values a= -9 , b=2 and c = -57. ple...

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Q: The total stopping distance T of a vehicle is T = 2.5x + 0.5x2 where T is in feet and x is the speed...

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Q: The volume V = (4/3)πr3 of a sphericalballoon changes with the radius.By approximately how much does...

A: To find the rate at which the volume changes, you must find the derivative of the volume function. H...

Q: A point is moving along the graph of a given function such that dx/dt is 3 centimeters per second. F...

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Q: Find the area of the shaded region.

A: The given shaded region interval is from -3 to 0 and 0 to 3 Both the intervals has same shaded regi...

Q: integral et sin (t-s) ds

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Q: Determine which of the following regions has an area equal to the given limit without evaluating the...

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Q: Find the limit. lim (e-4t i - j+ sin(6t) k sin?(t)

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Q: Explain Partial Derivatives of a Function of Two Variables

A: Partial Derivative : In partial derivatives ,dependent variable is a function of two or more indepen...

Q: Show that with taylor series ∫ (sinx)/ x dx from x=0 to ∞ = π /2

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Q: Use partial fractions to find the indefinite integral.

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Q: For the given function, find all values of c over the interval (,55) stipulated by Rolle's Theorem s...

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Q: Let | f(x) dr = 9, f(x) dr = –2, g(x) dx = 15, g(x) dx = 5, Use these values to evaluate the given d...

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Q: Find a vector normal to the plane with the given equation. 3(x – 5) – 5(y – 1) + 10z = 0 n =

A: Consider the equation of the plane passing through a general point Po and with normal vector n.

Q: Produce graphs of f that reveal all the importantaspects of the curve. Estimate the intervals of in...

A: The given function is

Q: 9.

A: We first find the partial sum

Q: Express the vectors in Exercises 9–12 in terms of their lengths and directions.

A: Q(9). Given: First find the length and then direction. Find magnitude. Find the direction of gi...

Q: Find the length of an arc intercepted by a central angle thetaθ in a circle of radius r. r=123.85 in...

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Q: Evaluate the indefinite integral: dx С.

A: First, we write the expression using exponents

Q: Calculus Question

A: Let s, in centimeters ,be length of side of square and A , in square centimetes, be the area of the ...

Q: 2ƒ(x), x = 2

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