7πT 6' expressions, or decimals to at least one decimal place. (x, y, z) = Convert the point (p, 0, 0) = 4, to Cartesian coordinates. Give answers either as

Q: (x²-1)y" + 2y' - (x - 1)(x + 1)² = 0

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Q: Consider the following initial value problem. Determine the coordinates tm and ym of the maximum…

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Q: 4. The region bounded by the parabola y = x² and the line y = 2x in the first quadrant is revolved…

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Q: Your broker has suggested that you diversify your investments by splitting your portfolio among…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i - 8j as…

A: Suppose ABCD is the parallelogram with AB=i+j & BC=i-8j. So, the diagonals are AC and BD.

Q: f(x) = In (x) + In (25-x²), (0,5)

A: 1st derivative test

Q: Determine the intervals in which solutions are sure to exist. t(t2)y(4) + e'y" + 9t²y = 0 Enter the…

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Q: Given P(x) 3x55x² - 4x³ – 8x² 64x + 48, and that 2i is a zero, write P in factored form (as a…

A: NOTE: Refresh your page if you can't see any equations. . the given root is  so another root must…

Q: 1. Find the divergence and curl of the following vector fields a. F = (1/y²)j b. F=y³z³i+ 2xyz³j +…

A: We have to find the divergence and curl of the given vector fields.

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

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Q: Consider the parallelepiped with adjacent edges Find the volume. V = i 102 u = 8i + 7j + k v = i + j…

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Q: Let f(x) = 3x² + 2x − 10; a = 1. 1. Use the definition to find the derivative function f' 2. Find an…

A: The given function is: f(x)=3x2+2x-10

Q: - y Sinx + Cosh zy=0 -Coshzy di Sinx = - dx ·coshzy dx dy Sinx+ coshzy dx =0 ليه Sinx = -co + dx…

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Q: Find the directional derivative of the function at P in the direction of v h(x, y, z) = xyz, P(2, 2,…

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Q: Consider the following formulas. a sin Be + b cos Be=a2 + b2 sin(Be + C), where C = arctan(b/a) and…

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Q: ) solve the ode: dx - (x + y + 1)dy = 0

A: We know that derivatives power rule is - d(xn)/dx = nxn-1. And integration power rule is -…

Q: Let r(t) = Find 7' (t) 7' (t) =<

A: Please refer to the image below

Q: ve the following: y' - x³y² = 4x³, y(0) 4x³, y(0) = 2.

A: We will solve the differential equation

Q: Write the following expression as a single summation. ΤΗΣΗΣ 7· Σ (k2 + 8) + 9· Σ (2 - 1) = Σ k = 1 k…

A: Note :- These are multiple questions and according to our comapny guideline we can do maximum 1…

Q: Determine the quadrant in which x lies if tan x 0. Οιν || 1 ||| x lies on an axis

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Q: Find the critical point(s) of the function y = 0 - 2 cos (0) at 0 € [-3, -π]. (Give your answer in…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions. Here I…

Q: The bearing of a ship from a lighthouse was found to be N 18° E. After the ship sailed 5.5 miles due…

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Q: Let f(x) = ²15 Find the critical points c that correspond to local minima. (Use symbolic notation…

A: Given :fx=xx2+15

Q: Given y(4) 6y" - 36y" +216y' = t² + 6+ tsint, determine a suitable form for Y(t) if the method of…

A: Given :y4-6y'''-36y''+216y'=t2+6+tsint

Q: 3 7) Evaluate: f(-x² + 4x − 1)dx 1

A: Given, ∫13(-x2+4x-1)dx

Q: Solve the equation. (Find all solutions of the equation in the interval [0, 2?). Enter your answers…

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Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4373 per…

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Q: Find the volume of the solid of revolution formed by revolving the region bounded by y = f(x) = 2x -…

A: Given problem:- Find the volume of the solid of revolution formed by revolving the region bounded by…

Q: A linear model of the spread of an epidemic in a community of 1000 people is the equation: dx/dt =…

A: To find the number of people x(t) who have contracted the disease at the time oftime t.

Q: 1. Find the general solution of: du dx _ _ y + xy² + x³ x+x²y+y² dy

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Q: lim x-x 10 √x + (Inx)¹0 +5 3√x + (lnx) ¹00 + 10

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Q: 1) The velocity function (in meters per second) is given for a particle moving along a line. v(t) =…

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Q: Find the solution of the differential equation. 16y’’+24y’+9y=0 theme: repeated roots; order…

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Q: Find a basis {p (x), q (x)} for the vector space {f(x) = P3[x] | ƒ' (−1) = ƒ (1)} where P3[x] is the…

A: We have to find p(x) and q(x).

Q: +∞ Σ n=1 1+ sin² n 10η

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Q: Exercise 5.7.1 Find all critical points and identify them as relative maximum points, relative…

A: We have to find all critical points and relative maximum and minimum points.

Q: . Find the solution of the differential equation. 25y’’-20y’+4y=0 theme: repeated roots; order…

A:

Q: Let C(x) be the cost function of producing x numbers of cycles by a company. Which one of the…

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Q: 3. Evaluate the following multiple integrals +¹(1+8x)dydx a. b. 0 x T xcos(xy)dydx

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Q: Find the interest rate needed for an investment of $10,000 to grow to an amount of $13,000 in 6…

A: I have appended the formula used in the solution part of the question

Q: □ Solve the following ODES by Undetermined Coeff. X 22X ● "Y + 5y + 4y = x 2² ● 4X "y - 16 y = 19.2…

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Q: thank you! Trying to figure out why the final answer was 'near -542.2258964609'

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Q: 1. Find the solution of the differential equation. y’’-2y’+y=0 theme: repeated roots; order…

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Q: Use the sum-to-product formulas to find the exact value of the expression. 5-2 sin 3 2 sin in

A: We can find the answer as below using the sum to product formula.

Q: Create and draw the sketch of a graph of a rational function. The rational function needs to include…

A: We have to create and draw the graph of rational function.

Q: Solve the equation. (Find all solutions of the equation in the interval [0, 2π). Enter your answers…

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Q: You throw a ball (from ground level) of mass 1 kilogram upward with a velocity of v= 35 m/s on Mars,…

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Q: Derivative 0 −4x-5 (Hint: Look at the note of section 2.3 example (c) in 0-4x3 0-4x-3 0 -4.x³ 4 d…

A: We can answer the question as below.

Q: Find the points of Intersection of the graphs of the equations. x² + y = 16 -4x + y = 11 (x, y) =…

A: Here we have to find the intersecting points.