A pendulum has a length of 0.83 m. What is the period of this pendulum? Express your answer to two significant figures and include the appropriate units. T = Value Units ?

Q: At time t, the position of a body moving along the s-axis is s= -1³ +121²-45t m. a. Find the body's…

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Q: A projectile is launched so that its velocity in feet per second at t seconds is given by the…

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Q: Definite integrals: 10 S," = 1 -dx x²-4 3 S* (2sin(x) - ex) dx 0 Indefinite integrals:

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Q: Find the tangent plane to the surface z = cos(6zy) +2³+7y at the point (1,0). (z = cos(6xy) + x³ +…

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Q: en J_₁xf"(x).dx (2) Let f(x) be a function whose second derivative is continuous on (-1, B) f'(1) +…

A: ∫-11xf''xdx

Q: The region bounded by f(x) = -1x² + 4x + 21, x = 0, and y = 0 is rotated about the y-axis. Find the…

A: fx=-x2+4x+21

Q: Find the surface area of the part of the plane z = 6 + 4x + 3y that lies inside the cylinder x² + y²…

A: To find the surface area of the part of the plane z = 6 + 4x + 3y that lies inside the cylinder x² +…

Q: T(0) = r(t) = esti + cos(t)j- sin(2t)k, P(1, 1, 0) Find a set of parametric equations for the…

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Q: Year: Month: Date: Ex:-find the are. How Length x=y² oxy 51 Sa Su Mo

A: Arc length  = ∫y=ay=b 1+dxdy2 dy

Q: Find the volume of the region under the surface z = 25 and above the triangle in the xy-plane with…

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Q: Solve the system of equations using Cramer's Rule if it is applicable. 5x = 20 5x + 10y = 0 Write…

A: NOTE: Refresh your page if you can't see any equations. . the system Ax=b is  the matrix A is…

Q: Convert the angle 315° to radians. Give the exact valu and use pi for π.

A: Given angle θ=315°

Q: Solve the ODE equation ✓² +3Y²_4Y = 4 cos 3t, where you = 1 and Y'(0) = 3

A: NOTE: Refresh your page if you can't see any equations. . write the auxiliary equation for the…

Q: Find the sum of the series: 8 n=0 6n-3 n! xt

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Q: (6) In n 35. Σ

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Q: 4. Find the volume of the solid in the first octant bounded by the coordinate planes, the cylinder…

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Q: Let a be a nonzero constant such that a 39. Let f(x, y) = ax² + sin y 39x² + y² L = lim(z,y)-> (0,0)…

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Q: Compute the flux of the vector field (5,- xy), out of the rectangle with vertices (0,0), (2,0),…

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Q: For the following indefinite integral, find the full power series centered at x = 0 and then give…

A: The given integral is ∫tan-1(7x)xdx

Q: Find the curl of the vector field F curl F Calculator Check Answer (6y cos(x), 2x sin(y))

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Q: Find d ſf (x + 4y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0}

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Q: Use the method of Laplace transforms to find the solution of the initial-value problem y′′′ + y′ =…

A: NOTE: Refresh your page if you can't see any equations. . take Laplace on both sides here we have…

Q: Use differentiation and/or integration to express the following function as a power series (centered…

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Q: Exercise (2): use reduction of order to find the other solution and general solution of the given…

A: NOTE: Refresh your page if you can't see any equations. . the given solution is  . the given DE is…

Q: A student's parents offer him one of two options in order to receive scholarship money for college.…

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Q: If m s f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

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Q: The point P is on the unit circle. If the y-coordinate of P 3 is , and P is in quadrant IV, then 8 X…

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Q: Evaluate (ti + t²j+t³k)dt = i+ j+ k.

A: Evaluate  ∫09ti+t2j+t3kdt

Q: Given the function f(x, y) = x³ + 4xy + y² - 4x + 16y + 10, find all points (x, y) such that fx(x,y)…

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Q: Find the general solution of the following differential equations USING ROO a. (D²+1)y = csCX b. d²y…

A: (a)   given (D2+1)=cosecx The auxiliary equation is m2+1=0 m=±i C.F = c1cosx+c2sinx…

Q: A particle moves on a straight line with velocity, v(t) = 4-t² m/sec. Find the total distance…

A: A particle moves on a straight line with velocity, vt=4-t2 m/sec. To find the total distance…

Q: (5) The form of the partial fraction decomposition of f(x) B C A) С + x-2 B x² +25 CX+F x²+25 C)+…

A: To determine the form of the partial fraction decomposition  of fx=11x4-2x3-4x2+5xx-2x2+252. Note:…

Q: If Ꮎ = sin(0) 5п 4 = cos(0) = then Give exact values. No decimals allowed!

A: given,  θ=5π4

Q: Find the following for the function f(x)= 3x² + 3x-3. (a) f(0) (b) f(5) (c) f(-5) (e) -f(x) (f) f(x…

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Q: Use Green's Theorem to evaluate e S. F Calculator F =(√x + 5y, 4x + 5y) C is the boundary of the…

A: We have to evaluate the integral.

Q: A cylindral drill with radius 3 cm is used to bore a hole through the center of a sphere with radius…

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Q: ¹²-1 log x -dx.

A: Integration is a reverse process of differentiation that is used to find area under any curve.…

Q: Find all the second-order partial derivatives of the function f(x,y) = 6x² + 4y + 7x²y².

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Q: 2. (600) A linear second-order differential equation is given as y" + 3y' + 2y = 5e¯* + 10 sinx a)…

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Q: Find az/ax and az/oy by implicit differentiation 3x²z+y³ - xyz³ = 0

A: Given

Q: Find the area of the surface. The surface with parametric equations x = u², y = uv, z = -1/v²,0 ≤ u…

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Q: Find the derivative in problems 1-16. 1. y = tan 2x 9. y = x tan x 13 W = sin A tan 2A 4. y = 9 cot…

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Q: Evaluate the integral. [₁²³ (8+14) 5 at dt

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Q: 4. f(x) = x³ - 2x² - 4x+2, [~1,0] find the absolute maximum and minimum

A: Given: f(x)=x3-2x2-4x+2 We are required to: Find the absolute maximum and absolute minimum value of…

Q: 1. Explain using the difference quotient how derivatives from first principles provide us with the…

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Q: ID: BLOCK: _DATE: A ship leaves port on a bearing of 28° and travels 7.5 miles. The ship then turns…

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Q: Find an arc length parametrization r₁(s) of r(t) = (eª sin(t), eª cos(t), 7et) . Assume t(s) = 0…

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Q: Find equation of the line passing through the point (2, 5, 3) and parallel to the line of the…

A: Parallel lines have same normal vector. And equation of a line passing through an point x1,y1,z1…

Q: Find the radius of convergence, R, of the series. R = ∞ Σ 47n²x7 n = 1 Find the interval, I, of…

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Q: Express the follow situation as a vector in component form: a. A boat is traveling at a bearing of…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…