dx | | dt dy dt dz dt 2x + y + 2z 3.x + 6z = -4x – 3z - =

Q: Find the derivative of F(x) = f (t³ - t) ³ dt. O 5 (t³-t) (3t²-1) ○ (x³ - x) 5 ○ 5 (2³-x) 4 O 3t² -…

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Q: Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y²-3x² and the…

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Q: =: Triangle may not be drawn to scale. pose a = 3 and b = 8. an exact value or give at least two…

A: Please refer to the image below

Q: 1ln(1 + x) dx X 0

A: We have to integrate

Q: fs = t³ - 1250t², when will the acceleration seconds)? O 5 seconds O 3.5 seconds O 4.5 seconds O4…

A: Using differentiation we get acceleration

Q: Find the solution of the given initial value problem. 9 cos t y' y = y(π) = 0, t-9, t> 0 y(t) = =

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Q: E. The Future worth at the end of the 4 years (FW4) of the four $2000 annual payment paid at the…

A: Please refer to the image below t

Q: Find the antiderivative of f(x)=2 that passes through the point (0,3). O F(x)= tan ¹+1 O F(x) = 2…

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Q: Solve the given initial value problem. + xy = 2 ²y² + y² = 3 O xy² + xy³ = 0 xy² − y³ = 1 O x²y² -…

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Q: dt 1³ +1²-2t

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Q: calculate the area of that part of the surface z = 2xy which is bounded by the planes   x+y=1, x=0,…

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Q: S 1 A box with a square base and open top must have a volume of 318028 cm³. We wish to find the…

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Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: We have to set up the integral for volume.

Q: As shown in the required readings or videos use Euler's Method with a step size of h = .1 to…

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 4t 11t…

A: We have to find velocity

Q: Vectors: given vectors "=(-3,-1,4) and v = (-2,3,2) 2u- v Add/subtract/scalar multiplication: Find…

A: Given: u=-3,-1,4    and  v=-2,3,2

Q: Find v. v=-4i-j ||v||=| (Simplify your answer. Type an exact answer, using radicals as needed.)

A: Here, the given vector is: v=-4i-j=(-4)+(-1)j

Q: S dx √4x² - 49 x > 7

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Q: Evaluate the double integral: 2 ਰੰਜਨ dA e3(x² + y²) R where R is the unbounded region between 0 ≤0 ≤…

A: Let's solve given double integration.

Q: Use the Fundamental Theorem of Calculus, Part 1 to find the derivative: d •√x (t² + Int)dt dx Sa

A: First I have written the Fundamental theorem of Calculus and using it for given problem and find the…

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A: We know that, Newton’s law of cooling is given by, dT/dt = k(Tt – Ts) Where, Tt = temperature of…

Q: Find the area of the region bounded by: r = 5 cos(20) 0 ≤ 0 ≤ 2π

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Q: ¹ ln(1 + x) dx X 0

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Q: Problem 4. (. Let C be the curve given by parametric equations y(t) = 2t, z(t) = lnt, t€ (-∞0, +∞0).…

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Q: Consider the function f(x) = x¹ − 50x² +11, x¹50x² This function has an absolute minimum value equal…

A: We need to find absolute max. and min. value.

Q: COLUMN A 17. To each person on the earth assign the number which corresponds to his age. 18. To each…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Consider the basis S - (V₁, V₂) for R², where v₁ - (1, 1) and v₂ - (1, 0), and let T:R² R² be the…

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Q: 9) Two apartment tenants have a total of 600 feet of fencing to enclose a rectangular garden and…

A: Given: Total length of fencing = 600 feet We know that area of a rectangle is length × width

Q: into a conver the Following differential equation Perfect equation and then find general Solution…

A: Given

Q: 9) Two apartment tenants have a total of 600 feet of fencing to enclose a rectangular garden and…

A: Please refer to the image below

Q: Find the critical numbers of the function 2x5 – 5x¹ – 10x³ – 4 and classify them using a = f(x)…

A: We need to find critical numbers and classify them.

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

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Q: Problem 4. (. Let C be the curve given by parametric equations x(t) = t², y(t) = 2t, z(t) = lnt, t€…

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Q: S 7. Evaluate 8. Evaluate 9. Evaluate (cos x - sin x) dx cot²x dx (sin x + x) dx

A: Given problems:- Solve the following using the theorems on differentiation. 7. ∫ (cos(x) -sin(x) dx…

Q: -3π/2 2. S TL √sinx + 1 cos x dx

A: We solve the given definite integral by using substitution method .

Q: 4. A spotlight is on the ground 20 feet away from a wall and a 6-ft tall person is walking towards…

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Q: dy dx = x+1 2(y+3)

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Q: 1 x√x²+3 (A) Use trigonometric substitution to find f

A: Use  trigonometric substitution to solve the integral.

Q: Set up the triple integral that will give the following: 6. (a) the volume of R using cylindrical…

A: We have to set up the volume integral.

Q: Select the following sets of parametric equations that describe the parabola y = x² x=t, y=t² □ y =…

A: To select the follwing sets of parametric equations that describe the parabola y=x2.1 x=t, y=t22…

Q: If s(t) = 6t³ - 9t² - 36t+6, where t≥ 0 represent the position of a particle traveling along a…

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Q: 1 x √x²+3 igonometric substitution to find f

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Q: a) Sdx 5

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: show that V(x,y) = x 'f (2x+y) is the general Solution of 9 dv X du 2x = V dx 1 ay

A: Given: V(x, y)=xf(2x+y) Find: the general solution of Xdv/dx - 2XdV/dy= V

Q: 8. Use the given graph to estimate the left Riemann sum for the given interval with the stated…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: An open box is made from a square sheet of cardboard, with sides 3 meter long. Squares are cut from…

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Q: Evaluate the indefinite integral S- dx 3x² x³√x6-1 O 3+C sec-1 +6 O sec-1x3 3 + C ec²¹x² + C sec 3…

A: SOLUTION-

Q: Confirm by multiplication that x is an eigenvector of A, and find the corresponding eigenvalue. 301…

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Q: Zxx-4Zxy-Zyy=0 Zxx+4Zxy+2ZyY=0 Zxx+Zyy=0 Zxx+6Zxy+9Zyy=0 Zxx-10zxy+26Zyy=0

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Q: Question 6. At what value/s of x will the function y = O x = 0 O x = -3 O There is no point of…

A: Let's find inflection point of given function.