an= 5(-2)n-1 Find a 10

Q: Find the solution r(t) of the differential equation with the given initial condition: r(t) = ( r'…

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Q: The area of the surface generated by rotating the curve y = 1 -e ¹, where -3 ≤ x ≤ 3, about the…

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Q: y" — 5y" — 14y' = (2x - 1)e-29+ s

A: y"-5y"-14y'=(2x-1)e-2x-9+sin7x -4y"-14y'=(2x-1)e -2x -9+sin7x

Q: 3 3) Find x and y (they may or may not be integers) which satisfy the condition 8x+y=40 +²y=4 and…

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Q: Find the volume of the solid generated by revolving the shaded region about the given axis. 27)…

A: Given: We are required to find: The volume of the solid generated by revolving the shaded…

Q: (1) f(4x³-9x² + 7x + 3)ex. dx = A) e *[4x³ + 3x² + 13x + 16) + C B) -e [4x³ + 3x² + 13x + 16] + C C)…

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

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Q: Determine interval of convergence of the series (-1)*(x-1)" m=1 (-1)"(x+1)" serisinin yakınsaklık…

A: To find the interval of convergence ∑n=1∞ -1n7x+1nn7

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: 4. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

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Q: Find the tangent plane to the surface z = cos(4xy) + x + 6y at the point (1,0). (z = cos(4xy) + x +…

A: z=cos4xy+x9+6y & the point is 1, 0. To find the equation of tangent plane.

Q: Consider the vector field F = Evaluate r(t) = t²i+t³j, 0≤t≤3 Calculator ·[F. Check Answer F. dr…

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Q: Find the length of the curve ¹7(t) = (et cos (+), et sin(!), e) 6 Arc length= for 0 ≤ t ≤

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Q: 1. Graph the polar equation r = 1-2 cos(0) on the below curve न 5T 7K 6 37 5 T 23 4T w K|N 2 37 to 2…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find [ady + yda, where is the arc of the curve y = e² for 0 ≤ x ≤ 2

A: The given arc is:y=ex   for    0≤x≤2

Q: 1. Sketch the region enclosed by the given curves and: y = x, y = x² - 2x Graph the bounded region.…

A: We need to plot and calculate the area between the given curves: y=x and y=x2-2x

Q: a. How much work is required to wind the entire chain onto the cylinder using the winch? b. How much…

A: Length of chain=80 ft Density m=10 lb/ft

Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 8…

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Q: (6) [²/2 sin² (2) cos2 (x).dx = A) 플 B) 플 C) 미플

A: We need to make it proper to solve this integration.

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

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Given differential equation dRdt = 114t4R( 1 ) = 35

Q: The wind-chill index (in degrees C) is modeled by the function W = 13.12 +0.6215T-11.37v0.16…

A: The wind-chill index (in degrees C) is measured by the function…

Q: Find zdy + yda, where C is the arc of the curve y = e² for 0 ≤ x ≤1

A: To find the given integral , change complete integral in the function of 'x' .

Q: Sketch the region enclosed by the curves x = sin 5y and x = A = 10 y, and compute its area as an…

A: To sketch the region enclosed by the curves x=sin5y and x=10πy, and  to compute its area as an…

Q: 1. A baseball is thrown with an initial velocity of 45m= 66 at an angle of 60° with the horizontal…

A: We have to find the height of ball and time when it reaches ground.

Q: 77 Consider the vector field F= Evaluate r(t) = 1²7+t³3, 0≤t≤2 Calculator SF Check Answer F. dr…

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Q: Use Green's Theorem to evaluate LF Fnds, where F = √+4y, 2x + 4y) C is the boundary of the region…

A: To solve the given problem using Green's theorem.

Q: An airplane is flying on a compass (bearing) of 170° at 460 mph. A wind is blowing with the bearing…

A: Given: Velocity vector of plane in air (velocity vector w.r.t. air) = 460mph with 170o bearing…

Q: Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we…

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Q: Find the surface area of the part of the plane z = 4 + 2x + 3y that lies inside the cylinder x² + y²…

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Q: dy 2. + dx у >IX = бу

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Q: Evaluate the surface integral. Slov S is the helicoid with vector equation r(u, v) = u cos(v) i + u…

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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: Verify the identity. tanh²(x) + sech²(x) = 1 First, use the definitions of the hyperbolic functions…

A: To verify.

Q: Find the surface area of the part of the plane z = 5 + 6x + 3y that lies inside the cylinde x² + y²…

A: Area=∬D1+∂z∂x2+∂z∂y2

Q: Find the length of the given vector over the given interval for t: r(t) = interval [0, π/2]

A: L=∫abx't2+y't2+z't2dt

Q: Find the average distance from the origin to a point in region described below: -√2 ≤ y ≤√√2, y² +1…

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Q: Solve the initial value problem. dr 19) =- de T 2 A) r = sin 0-10 C) r= cos 10-11 cos0, r(0) = -10 2…

A: 19) Given that drdθ=-π2cosπ2θ ; r0=-10

Q: 1. y = 2x from x = 0 to 10 6. y = 9x² from x = - 0 to 3

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Q: X1 X2 X3 -3X1 = - X2 + X3 = −6 5X3 2X1 + 4X2 - 2×2 + 3X3 X1 7.000 = = 50 = - X1 X2 X3 우 5

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Q: Find the curl of the vector field F = (4y cos(x), 2x sin(y)) curl F = Calculator Check Answer

A: F¯=4ycosx, 2xsiny

Q: Se ทะเ Ifu ^^ +2 2

A: To find whether the series is absolutely convergent or not.

Q: A group of 100 people were surveyed about what hot drink they like and the results are in the table:…

A: Solution:A group of 100 people we surveyed about what hot drink they like and the results are in the…

Q: What is the value of sec 1( 37) ₂

A: we need to find the value of sec-176

Q: 7. Let u = (2,1, −1) and v = (√√2, 1, 1). Find the decomposition of u into vectors that are parallel…

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Q: Using the derivative of f(x) given below, determine the intervals on which f(x) is increasing or…

A: f'(x) = (x-5)e-x To determine:- Interval on which f(x) is increasing or decreasing

Q: Evaluate the integral. Check your answer by differentiating. (Remember the constant of integration.)…

A: The integral is ∫34+x10dx

Q: Let c, x, 3 be nonzero real numbers such that c # ß. Find a given that

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Q: Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the…

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Q: 16. Use the Divergence Theorem to calculate the surface integral F(x, y, z) = (2x3 + y³)i + (y³ +…

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