3π Plot the point whose polar coordinates are 2, 2 -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -4 V 1 2 3 5

Q: State the order of the given ordinary differential equation. (1-x)y" - 7xy' + 4y = cos x

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: Find all values of m so that the function y = xm is a solution of the given differential equation.…

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Q: 1) An object moves from a point of origin 5 meters to the left. Describe the object's displacement…

A: An object moves from a point of origin 5 meters to the left. Describe the object's displacement and…

Q: y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' + 2xy² = 0. Find a…

A: y=1x2+c is a one parameter family solution of differential equation:  y'+2xy2=0.Initial condition…

Q: Find an explicit solution of the given initial-value problem. x2dy dx =y-xy, y(-1) = -4 y =

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Q: 1. The graph of f(x) is shown to the right. On the same grid, draw a sketch of f'(x). VA Explain,…

A: Given: Aim:  To draw the sketch of f'(x).

Q: Solve (11x + 12)eª dx using Integration by Parts. 11x + 12 and v' = eª. Use u =

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Q: Calculate the linear combination. 5(i +2j) - 3(2j+ k) + 7(2k − i) = (x, y, z) (Give your answers as…

A: To calculate the following linear combination. 5i+2j-32j+k+72k-i=x, y, z where,  x=?y=?z=?

Q: What are the answers for the letters d, e, and f? Thank you!

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Q: дz дz Use the chain rule to find and მs at z = ln(3x + 4y), x = s sin(t), y = t cos(s) дz as дz at…

A: z=ln3x+4y , x=s sint , y=t coss

Q: Evaluate the double integral changing to polar coordinates. ¹/1₁ (² (2x - y) dA, where R is the…

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Q: (a) Show that (b) Solve the equation -1 cos(2 tan ¹x): = (d) Find the general solution to cos 7x…

A: Note : As per our Guidelines , we can solve first part as your all parts not too small . Please…

Q: Evaluate the definite integral. [° ( Z - ²3/) dx J₁ X

A: ∫16x6-9xdx

Q: Construct a problem where you have to find the inflection point that is equal to 1/2.

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Q: Given the function f(x) = −2x³ +96x +1, determine the intervals where the function is increasing and…

A: f(x)= -2x3+96x+1 We have to find interval of increasing or decreasing of function and also interval…

Q: (4) Suppose V(t) represents the volume (in gallons) of water in a tank at time t, where t is the…

A: Given: Suppose V(t) represents the volume (in gallons) of water in a tank at time t, where t is the…

Q: At what point does the curve have maximum curvature? y = 4ex (x, y) = What happens to the curvature…

A: We know that Curvature of curve (k)=y''x1+y'x232

Q: Use implicit differentiation Find dy at the point (1, 1) for 7x² + 4y³ + 6xy = 0. dx 10 9 10 to find…

A: given 7x2+4y3+6xy=0 , point is (1,1)

Q: +(Bot + B₁) cost, provided that sint and cost are not solutions of the homogeneous equation.…

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Q: 2. A manufacturer wants to make cylindrical cans. Each must be able to hold 1200 cubic cm ofliquid.…

A: Let radius of cylinderical cans=x cm Let height of can =h cm

Q: This was for question D I did not need A,B,C

A: We need to compute the average rate of change of the future value of the account between year 9 and…

Q: The radius of a right circular cone is increasing at a rate of 1.2 in/s while its height is…

A: given radius of a right circular cone is increasing at a rate of 1.2ins and height is decreasing at…

Q: Use the following information for Problems 11-15: From its initial position of s(0) = -3, a particle…

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Q: y=x² and y = √√x =√₁ 2

A: y= x2 y =x

Q: f(x) = √√/x = -²x³12 about the x-axis for 1 ≤ x ≤ 3. .3/2

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Q: [ f(x) dx 3 Given that 1 ≤ f(x) ≤ 4 for 3 ≤ x ≤ 7, estimate the value of ] ≤ [ f(x)da <

A: Estimated value formula m(b-a)&lt;=int_a^b f(x) dx&lt;= M(b-a)

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ sin(10x) sin(cos(10x))…

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Q: please provide types solution step by step

A: The average value of a function f (x,y) over a rectangle R is given by  Average = 1AR∫R∫fx,ydA Where…

Q: Jhy Find following limits if they exist. Enter DNE if the limit does not exist. g(x) a h(x) g(x) 4.…

A: Note : As per our Guidelines , we can solve first three subparts . Please repost remaining parts.

Q: Find all the first and second order partial derivatives of f(x, y) = 6 sin(2x + y) — 2 cos(x − y).…

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Q: 12-0 dt = + C

A: We know that the integral of x^n dx = x^(n+1)/(n+1)

Q: Find the length of the curve. = (4t, r(t) = 4t, t2, 6 0 ≤t ≤1.

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use the chain rule to find dw dt dw dt W = In (√x² + y² + z²), x = 9 sin(t), y = 8 cos(t), z = 5…

A: W=lnx2+y2+z2 x=9 sin(t) y=8 cos(t) z=5 tan(t)

Q: 20. Which statement represents the relationship between P = {9, 11, 13, 15, 17) and Q = (2, 4, 6, 8,…

A: As per guidelines we are supposed to answer first question only please repost the Other question.

Q: The Equilibrium Price is $19 is wrong

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Q: Use the chain rule to find dw dt = dw dt w = In (√x² + y² + z²), x = 8 sin(t), y = 7 cos(t), z = 2…

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Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L = 1200 feet apart. As the…

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Q: 6. Given u = a. Su - b. ū c. v [2, -5]and V V = [-7,2] find

A: 6) Given u→=2,-5 and v→=-7,2

Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

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Q: Derive the formula by using integration by parts on the left-hand side. (Assume n > 0.) 1 [x²² dx =…

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Q: y = c₁ cos(3x) + C₂2 sin(3x) is a two-parameter family of solutions of the second-order DE y" +9y =…

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Q: The integral J W 6 3t 1 + 9t² 1 By substitution we have 3 18 1 + 9t² dt can be rewritten as In(1 +…

A: Given:

Q: 57. Yn = en 27

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Q: If f is a differentiable function with derivative 1-x x²+1 intervals is f concave up? f'(x) = 3 then…

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Q: Find the rate of change of ƒ (x, y, z) = 6xyz in the direction normal to the surface yx² + xy² + yz²…

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Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…

A: The rate at which water drains from a tank is recorded at half minute intervals ∆t=0.5

Q: 5. Use the Limits at Infinity Theorem and limit laws to evaluate lim f(z) where 818 16-² f(x)=…

A: fx=16-x26x2-5x+4

Q: Express the given product as a sum containing only sines and cosines. 170 2 sin COS 0 A THE CHOICES…

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Q: y = sin x, y = cos x, T - and the y-axis

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Q: Determine whether the three points P = (-3, 7, 1), Q = (-2,9, 4), R = (-1, 12, 7) are collinear by…

A: To determine whether the points P=-3, 7, 1, Q=-2, 9, 4, and R=-1, 12, 7 are collinear by computing…