tan(arctan 5) = _____.

Q: Evaluate by using homogeneous D.E. 3 (3x? + y²) dx – 2xydy = 0 O ao3 = C(9x³ + y³) O ap3 = C(9x² +…

A: ANSWER: OPTION 2nd

Q: y = |x|, y = x² – 1, x = -1, x = 1 - г2 — 1,

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Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 10 14 18…

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Q: (x² + y² ) dx – xydy = 0 O 2y = x In cx² O y? = x² In cx²

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: First simplify the integrand then integrate and simplify.

Q: 4) rotation 90° clockwise about the origin YK U

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Q: Given y=[2 +(x2+1)4 ]³; Find y' O y' = 64 (x²+1)° O (E) None of the choices O y'=24x (x²+1)³ [ 2…

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Q: Let A be the area of a circle with radius r. If dr/dt=5, find dA/dt when  r=2.

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Q: What is the degree 3 Taylor Polynomial for sin x for a near T 지/2?

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Q: Choose the values that would complete the general solution for y = arcsin ( - V2) ±2nk 4 O O O O

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Q: Find the principal value of arcsin . 30° 60° no solution

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Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

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Q: -4x + y = 5 52. 6x - 2y = -9

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Q: b/ Find the solution to the homogeneous differential equation below dy x²+y² dx 2xy

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Q: f(b) – f(a) Find the value(s) of c that satisfy the equation = f'(c) in the conclusion of the mean…

A: We can find the value of c that satisfy the equation  f(b)-f(a)b-a = f'(c) .

Q: 6) Answer the following True or False: Let  f(x) be a differentiable function, such that f(1)=−9…

A: The solution is given in the next step.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given line x-38=y2=z-714=tAny point on the line is of the form,x=3+8t,y=2t,z=7+14t,Put…

Q: 11 2

A: We can solve this as follows:

Q: If 0<c <d, then find the value of b (in terms of c and d) for which (x + b)dx= 0. b = (Type an exact…

A: Evaluating the definite integral and equating it to 0

Q: Find the constant a such that the function is continuous on the entire real line. 4sin x if x < 0…

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Q: Find y if y = 2. arcsin[] and - sys. T/4 1/2

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Q: dx

A: Solving the problem by finding the value of the integration.

Q: Evaluate using Linear Equations. v(dx/dv)=6ve²"+x(2v-1)

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Q: 1. 9. 2

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Q: x = y² – y, x = y – y² |

A: The solution is given in the next step.

Q: Find all solutions of the equation. 3tan? (0) – 1 = 0

A: The given question can be solved as shown in step2.

Q: Which of the following integrals are improper? (Select all that apply.) dr 6x – 1 dr 2r – 1 sin (x)…

A: An improper integral is an integral that has either or both limits infinite or the integrand reaches…

Q: 3. Find the centroid of the region bounded by the parabola y? = 4x, the y-axis, and the line y = 4.

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Q: 1-cosx The value of limx→ by using series is 0 sinx True False

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Q: 3 A body moves along a horizontal line in accordance to s t + 912 + 24t. Find the total distance…

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Q: Use the quotient rule to find the derivative of - 8 sin(r) +9 479 – 10 You do not need to expand out…

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Q: Evaluate by separation of variables. dß %3D и(1 — и?) sec? р du 2 tan B+ sin 2ß = C – (1 – u?)? 2u?…

A: To solve the given differential equation.

Q: 2- Use the inversion method to solve the following system: x+3y+3z=1 x+4y+3z=0 x+3y+4z=-1

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Q: Direction: Find the differential equation of the family of curves described. 5. Circles with fixed…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Find a formula for the nth term of the sequence in terms of n. 5 52 53 54 12' 15' 18' 21' 24 1 for…

A: 112,515, 5218, 5321, 5424,...Numerator:50, 51, 52, 53, 54, ....can be represented as;5n-1, for…

Q: J 3x - y = 8 - y3= 3D8 46. - 2x + y = 4 %3D

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Q: 4. Find the equation of the tangent to h(x) = x´sin(2x) at x = 1 [no unit circle needed]

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Q: Solve for the following application of first order differential equations. Show your solutions. 5. A…

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Q: Consider the following. u = -9i – 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

A: Explanation of the answer is as follows

Q: x(1-x')y = x' + y-2xy? ソ=

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Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x2 + y? subject to the…

A: Given f(x,y)=x2+y2 and subject to constraint is xy=2 and we need to find the minimum value of given…

Q: Find the general solution of the equation and the specific solutions within the given interval…

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Q: x 1 + 1 -sisl y = 6. 2x Determine the arc length of the curve for

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Q: 10. Find the first partial derivatives of the following functions (it is not necessary to simplify).…

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Q: t3 sin 8t

A: Given problem:- t3 sin(8t)  To find:- Laplace Transformation of given function

Q: The graph shown below is fx) = x + 1. What is the integral function g(t) that defines the area under…

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Q: 2. y = loga(x³ + 2x – 2)

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Q: f(x, y) = e2Y sin(x), P(0, 0), Q(2, 1)

A: Use the formula for the directional derivative and simplify.

Q: This subject is DIFFERENTIAL EQUATION. SOLVE THE FOLLOWING APPLICATION PROBLEMS 1. The population of…

A: Given that the rate of increase of the population of a country is proportional to the number of…