Which of the following is the general solution to the differential equation t dy = 6te2 + y(2t 1) ? dt

Q: Determine whether the series converges. k Σ In(k + 3) k=1 The series converges. O The series diverge...

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Q: ( ग০) (১০ for the following func tion ? -WX-+5inZっメー +SinZっメー

A: w=x2+y2-z+sin zx+y=z(∂w∂y)x =ddy(x2+y2-(x+y)+sin(x+y))            =[0+2y-1+cos(x+y)(0+1)](∂w∂y)x =2y...

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A: Given series ∑n=1∞1n1+ln n9  

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A: Slope = dy/dx

Q: 1 - (Integral test) n2 +1 ... .... n=1 8.

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Q: а. Suppose f(х) — 4а* — 1139х — 93. 4x? i. What monomial expression best estimates f(x) for very lar...

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Q: 10 5 F10. -5 10 Fill in the blanks below. (Note that it is common to say a limit "has a value of o" ...

A: As we observe the graph, the vertical intercept is 4/3. So f(0)=4/3

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Q: Let {a,}1 be a convergent sequence defined by a1 = V5 and an+1 = V5a,. Find lim a,.

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Q: 2. Find the general solution of the given differential equation. dr + rsece = cos0 do

A: The given differential equation is; dr/d(theta) + r sec(theta)=cos(theta).

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Q: Given y = 6u - 9 and u = (1/2) x*, find dy/dx = f' (g (x)) g' (x). Select one: 12z3

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Q: Find the standard equation of the parabola which satisfies the given condition. Vertex (-4, 2) focus...

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Q: The cost of a can of Coca-Cola in 1960 was $0.10. The function that models the cost of a Coca-Cola b...

A: topic - exponential function

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Q: A certain radio active substance has half-life of 38 hours. A. Determine the value of k in four deci...

A: For the radioactive substance, the equation of life is given by: N=N0e-kt...(1)

Q: Given cost and price (demand) functions C(q) = 110q + 40,000 and p(q) = - 1.9q + 860, how many items...

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Q: A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 500, 000...

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Q: 2 cot- (ecsc) if – 3 3. - a. Determine if f is continuous or discontinuous at x= continuous, classif...

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Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = x0 and then find the nth Taylor...

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Q: Find the radius of convergence and the interval of convergence. Σ (k+3 k=0 Radius of convergence: In...

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Q: Find the derivatives of the following functions. 1. y = (4x - 5) ⁶

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Q: 4. Expand the binomial; (3x – y)* 12 5. Find the middle term in the expansion of;

A: According to Bartleby only first question can be solved at a time. But I solved first two please lik...

Q: 5. Which of the following equations is not a variable separable? dy dy (b) dx ху + 3х — у —3 (a) e3r...

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Q: 3. Old McDonald has a farm with 30 chickens. The chickens comprise 40% of his farm, and the rest of ...

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Q: 6. Which of the following equations is an exact differential equation? (a) (x² +1)dx – xydy = 0 (b) ...

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Q: ƏN 10. =? (a) y (b) —у (c) 5y² + y³ sin y (d) 5y² – y+ y³ sin y

A: Topic = Derivative

Q: Which of the following best represents the particular solution of the differential equation: y" – 6y...

A: The given differential equation is y''-6y'+9y = 6x2+2-12e3x ⇒ D2-6D+9 y = 6x2+2-12e3x ⇒ D2-2·D·3+32 ...

Q: Radium decomposes at a rate proportional to the amount present. If half of the original amount disap...

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Q: Use the Chain Rule to find the indicated partial derivatives. x = r cos(0), y = r sin(0), z = re; w ...

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Q: The complementary solution, ye, of the equation y" + 2y" + y' = 10 is %3D (a) ye = C1e¬ + c2e¬* + C3...

A: For the solution follow the next step.

Q: NgOZp5p4CnlLGsL9a. E The monthly profit for a small company that makes long-sleeve T-shirts depends ...

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Q: Water whose temperature is at 100°C is left to cool in a room where the temperature is 60° C. After ...

A: T=60+40ekt Substitute t=3 , T=90  90=60+40e3k90-60=40e3k3040=e3ke3k=343k=ln(34)k=-0.2883k=-0.096

Q: Given cost and price (demand) functions C(q) = 110q + 45,000 and p(q) = - 2q + 870, what is the marg...

A: given cost function c(q)=110q+45000Price function p(q)=-2q+870

Q: 8. Determine the general solution of the the differential equation: (r + y)dy = (x - y)dr (a) r? - 2...

A: As per Bartleby guideline, we have answered only the first complete question. If you want to get the...

Q: Find the radius of convergence of the power series. (If you need to use o or -00, enter INFINITY or ...

A: Solve by series 

Q: dx dx X -X |xVx* - 1 e"+ e

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Q: 1. Determine the order and degree of the differential equation d'y' 2 -222 dr4 + 4.r dr? 1 = 0. (a) ...

A: Given:-  

Q: Evaluate the integral (exact value). e6sin (87) + C e6x sin(8x) dx 7

A: We can find the integral as below using integration by parts as below.

Q: Write the first five terms of the sequence: {Vn² +n – n}n=I +o0 Determine whether the sequence conve...

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Q: Examine the punction por vela tive extrema f6.y)= x-xy -y? -3x -y and so dde points %3D

A: Relative extrema and saddle point

Q: Why are both the x-coordinate and the y-coordinate generally needed to find the slope of the tangent...

A: Given,           The x-coordinate anf y-coordinate generally needed to find the slope of the tangent...

Q: Verify the inverse function theorem of y = Vx +2

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Q: differential equations solve by integrating factors found by inspection y(x^3-y)dx-x(x^3+y)dy=0

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