x cos x² 2. X C0 dx -siny

Q: DIFFERENTIAL EQUATIONS Solve the following application problems. *show the every details of your…

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Q: Eind the conorel ond norticulor solution of the linoor first order oguot

A: Given query is to find the solution of the differential equation.

Q: Evaluate the integral. (Definite Integrals 6 r dr 15) V16+ 3r2

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Q: Find a formula for the nth partial sum of the series and use it to find the series' sum if the…

A: The given series, 91.2+92.3+93.4+......+9nn+1+.......

Q: Siven f(x, y) = 4e3" sin(3y) hen Vf(0,5) = 2 Question Help: DVideo MMessage instructor Add Work…

A: Given query is to find indicated derivative

Q: then the distance from a point P to the line L is equal to the length he component of the vector AP…

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Q: A particle is moving with acceleration a(t)= 18t+4 its position at time t= 0 is s(0) = 5 and its…

A: Given query is to find the position of the partical at t = 4.

Q: Sin 26 de 9 sinte+4

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Q: Find parametric and symmetric equations for the line satisfying the given conditions. Through the…

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Q: Solve the Bernoulli equation. -6 5xy' +y = y°, x>0

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Q: Find the limit. Use L'Hospital's Rule where appropriate.If there is a more elementary method,…

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Q: Let g be a function that is defined for all x, x # 2, such that g(3) = 4 and the derivative of g is…

A: Here, g(3)=4 & g'(x)=x2-16x-2, x≠2

Q: Four-bar linkages are one of the simplest family of mechanical linkage systems. Draw diagrams and…

A: Four-bar linkages are one of the simplest family of mechanical linkage systems.

Q: Solve for x in terms of a and b. log x = - 10(log a + log b) + 8 log b° + 5(log b – log a) = x Write…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the ezact answers in terms of i.j…

A: First find the magnitude of the vector and the find unit vector

Q: 7. Х Arcsec (2х) dx 3 (4x2 – 1)7

A: The objective of the question is evaluate the indefinite integral.

Q: Select the correct graph for the following rational function. 11 f(x) = X-8

A: Given,  f(x)= 11/(x-8)

Q: Given: a, =4, d=-1 Answer the following questions. Part: 0 / 2 Part 1 of 2 (a) Write the first five…

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Q: A company determines that its marginal cost, in dollars, for producing x units of a product is given…

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Q: 2. Evaluate the following limits. 3x+5 e. lim x→+o 2x+1

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Q: Question A vertical cylinder is leaking water at a rate of 5 m²/sec. If the cylinder has a height of…

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Q: Activity 2: Name Me in Three Ways! Directions: Determine if the given function is continuous or not.…

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Q: Solve the system of linear equations and check any solution algebraically. 5x - 3y + 2z = 3 2x + 4y…

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Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y – 2z subject…

A: Solve the following

Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = ry + z²; P(-4,–3,4);…

A: We need to find directional derivative.

Q: In a certain environment, a colony of bacteria grows according to the model A = A0e^0.06t, where A…

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Q: log, r – log, (x + 10) = log, k. %3D 1 Find x if k 8

A: Log

Q: 2. Evaluate the following limits. x²-6x+9 b. lim X-3 x-3

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Q: 2. Evaluate the following limits. x2-4x+4 a. lim x→5 x*-8x³+24x²–36x+16

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Q: r = 3 cos 0

A: The given curve,  r=3 cosθ

Q: Find an equation of the plane that passes through the points (-6, 1, 1), (0, 3, 5), and (1,0, –1).…

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Q: Let a = (4, – 5, – 4) and b = (4, 3, k). Find k so that ā and b will be orthogonal. k =

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Q: -4x2 f(r): r(r+8)(r – 2) (x+2)3 8(7r - 4) (x+2)4 with f'(r) = and f"(x): (r + 2)2 ' a. Find the…

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x2/3 - 4x3; f(1) = - 8…

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Q: dy Differentiate implicitly to find dx 8x? + 9xy + 7y + 17y -8 = 0 dy %3D dx

A: Given query is to find the derivative of the expression.

Q: Write the form of the partial fraction decomposition of the rational expression. бх — 1 († – x)x A В…

A: (6x-1)/x(x-4) it is very simple because in numerator there us multiplication given so A/x + B/(x-4)…

Q: During the summer months Terry makes and sells necklaces on the beach. Last summer she sold the…

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Q: Maximize and minimize f(x, y, z) 3x + y + 2z subject to 2x + 3y2 + 4z² 210 %3D

A: We have to use lagrange multipliers.

Q: Use the Comparison Test to determine if the series converges or diverges. Sn+ 6n n-1 diverges O…

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Q: Find a1 and r for a geometric sequence {a, from the given information. 41 az = 123 and a,= 9 a1 r=

A: The given terms of the geometric sequence,a3=123 and a6=-419

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) x²…

A: The given curves are y1=x2+2x+5  &  y2=2x+15

Q: Use the first derivative test to find the location of all local extrema in the interval (1,7) for…

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Q: 12. Solve the initial value problem where v = xex, y(0) : v (0) =- 2: v (0) =- 3.

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Q: Find the demand function q = D(x), given the following elasticity conditions. E(x) = q = 205 when x=…

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Q: Find the volume of the parallelepiped determined by the vectors a = (5, 2, – 1), b = (0, 4, 1), č =…

A: We will find the volume of the parallelepiped by using the given vectors.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (– 8,…

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Q: Find the slope of the line that is tangent to the 2x-3 graph of f (x) at P(3/2, 0)

A: Slope of the tangent to tthe curve y=f(x)  at point (a,b)  is given as m=f'(a)

Q: The solution is y = (Type an expression.)

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Q: Find the Taylor series for f(x) centered at the given value of a and the interval on which the…

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Q: Solve the differential equation. dP 3 Р(4) — 20 dx Using sqrt{t} for Vt. P(t)= 6sqrt{t} +8 O P(t)=…

A: Given query is to solve the differential equation.