Find the exact length of the curve described by the parametric equations. x = 8 + 3t², y = 7+2t³, 0≤t≤5

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Q: Find the general Solution For D-E dy = xỷ - cosx sinx dx y (1-x²)

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Q: (2) Let f(x, y, z) = x²y + y²z. Find the directional derivative of f at the point (1,2,3) in the…

A: The given function is To find :- The directional derivative of f at a point  in the direction

Q: ¡¡¡ ³² 2 cos (x²) 0 0 4у Evaluate the integral 2 cos (x²) 00 4y 5√√Z (Type an exact answer.) -dx dy…

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Q: Sketch the graph of f(x) = 2x + 3 on the interval [0,4]. Choose the correct graph below. A. Ay OB.

A: Here, We need to find the graph of the given equation f(x)=2x+4 in Interval [0,4]

Q: (c) A= 58°, a = 9, b = 5 (d) A = 90°, b= 6, c = 8

A: (c) Given that,    By using sine rule,

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Q: n -Σ„² n=0 If f(x)= = n -x" and g(x) = (-1)"- n² +1 n n² + 1 n=0 -a", find the power series of + 1/…

A: f(x)=∑n=0∞nn2+1xn and g(x)=∑n=0∞(−1)nnn2+1xn,

Q: (t²-2t)³ 5t 4. The voltage applied to a 0.25-F capacitor is given by v=- 3.7 s. . Find the current…

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Q: 4. The financial department of a hospital arrived at the cost function: C(x)=20x³-360x² +2300x-1000,…

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Q: 4. Solve Cauchy problem: y" - 5y' + 4y = 0, y(0) = 1, y'(0) = 2

A: To solve the following Cauchy problem.

Q: Combine the integrals L 19 if (6² 1 (3x3-4x²+6x-2) dx + 7 1 into one integral 2 (6x4–3x³ + 10x²+ 8x…

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Q: Question 5 The formula for the braking distance of a car is: 0.03361 v² fl d= where: . d is the…

A: given data:

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Q: Let z = 9.8 - 5i. Write z in the form a + b*i: Z = 9.8+5*i Let u = 5 - 2i and v= - 8 + 6i. Write u +…

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Q: T Find the equation of the tangent to the curve = cos³x - sin²x at the point where x =

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Q: 2. Find the domain and range for these functions: -2-1 y=fle

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Q: Use the parametric equations of an ellipse,x=6cos(θ),  y=3sin(θ),  0≤θ≤2π,to find the area that it…

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Q: Refer to the following figures. In each case, express the indicated trigonometric values as…

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Q: Find the exact slope of the tangent line to the parametric curve x= 4 cos(t) y = 8 sin(t) at the…

A: {x=4cos⁡(t)y=8sin⁡(t) at the point where t=π6

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A: Given that the formula d=9t-10 expresses a car's distancewe have to find the average speed of the…

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