Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v, and w. u = <1, 3, 1> v = <0, 6, 6> w = <−4, 0, −4>

Q: Ⓒ Differenitale y = √3x-7 X

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Q: Higher Partial Derivative d'u ôxôxôy 4. _x³y² u 2 yz

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Q: Problem 6. Find the equation of the tangent line to the curve x²y-ay² = -6 when z = 2.

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Q: 2. Differentiate. a)/(x)=12x¹ 5 -1 √√2-1 c) h(x)=- b) y = - 3x² 2x+3 - d) y = 21+1 31-2)

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Q: Question 20 sin t Dz 20 sin T I COS T sin r I COS I I Cos I sin z 2x² COS T 2 JORNAL 27² MAN dabiskt

A: Here, to find the derivative of sin x2x which is a rational function. So, we use the quotient rule…

Q: Determine the maximum and minimum value of the function f(x) = 3x3* - 1. O No max and min of -2 No…

A: This question can be solved using the concept of maxima and minima.

Q: (C): Find representative Fraction scale (R.F) from verbal statement of (6 inch to 1 mile) (12mile to…

A: 6 inch to 1 mile 12 mile to 1 inch

Q: 2x+1(4x²_5)³ 3 y = e

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: d- d³y dx3 d²y +6 dx² - Q.2-Solve the differential equation 15 - 100y = 0 dy dx

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Q: b. If F'(x) = f(x) then [f(x) dx = F(x) + C

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Q: Question 11 Evaluate the limit: lim h→0 Question Help: Video (-5+h)² - 25 h

A: We can solve this as follows:

Q: An unstretched spring is 20 cm in length. If it is stretched to 30 cm, 40 N of force must be…

A: Solved below.

Q: Q2: Find the following limits 1-√x²+1 1. lim X-0

A: Given, limx→ 01-x2+1x2

Q: A car dealership has 4 red cars, 3 blue cars, and 2 silver cars to display in a line facing forward.…

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Q: 2. The subspace in R3 is a plane whose equation is x+y+z=0 x-2=0 x-2y+z=0 (a) (b) 2-0 (c) y-2--0…

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Q: Determine whether the series converges. O The series diverges. O The series converges. Σ k In(k + 4)

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Q: A depositor currently has $6000 and plans to invest it in an account that accrues interest…

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Q: b. Find the values of dz/8x and dz/dy for the following expression: xe+ ye² + 2 lnx - 2 - 3 ln 2 =…

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Q: Complete the following. (a) The graph of y=g(x) is shown. Draw the graph of y=-g(x+1). x 5 ?

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Q: X-6 The equations x+y=6 and y 9 8 7 6 5 4 1 -10-9 -8-7 -6 -5 -4 -3 -2-10 -1 -7 -8 -9 -10 Determine…

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

Q: да Given zTan¯¹ (x + y) — ln [1 + (x + y)²] = 5%, what is ду -1 2-2x-2y none of the choices 2- 2x +…

A: ∂∂xtan-1x=11+x2 Note : As per our Guidelines , we can solve first question. Please repost remaining…

Q: Q2:- a. b. Let u=x²-2xy + 2y³ with x = s²ln t and y = 2st³. Find au/as and au/at. find the total…

A: We need to solve the two questions.

Q: Answer the questions below about the quadratic function. g(x)= -3x2 -12x -13 Does the function…

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Q: Find the area of the region enclosed by the curves y = x + 5, y² = = x, y = −1, and y = 2.

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Q: 4) y(2xy +1) dx - xdy = 0

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Q: 2|6x + 4 ≥ 1 OX- 7/12 O-7/12 - 12/7 choose the right ans оо

A: solution:-26x+4≥16x+4≥12using properties of modulus6x+4≥12  or  -6x+4≥12 6x≥12-4  or  -6x≥12+46x≥-72…

Q: f(x,y)= exsin (y), fx(x,y)

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Q: If t = 12, then Y12 = 4, 727, 272e (In 1.17 10 12 5,707, 340

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Q: (2) Compute dy dx if mxy=55

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Q: Suppose you are asked to list, in order of preference, the 3 best movies you have seen this year. If…

A: Let's solve number of ways.

Q: Indeterminate Form 4 7. lim 2 1–cosx x-0 4 1 8. lim x-2x²-4 x-2 9. limsin 3xcot 2x 10. limx²e 11.…

A: We have to determine the indeterminate forms.

Q: 20 18- 16 14- 12 10 8 b 4 2 1 2 Estimate the instantaneous rate of change at x = = 1

A: To find the instantaneous rate of change.

Q: Consider the following. f(x) = 7x − x2 If 2 subintervals (or rectangles) are used to approximate the…

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Q: d- d³y dx3 ax d² y dx² +6- 15 dy dx Q.2-Solve the differential equation 100y = 0

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

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Q: sin () cot ()+cos ( cos (1) sec (7)

A: We use  sin(π+x)=-sin(x) cot(π-x)=-cot(x)  sec(π+x)=-sec(x)

Q: Separable DE) y'ln² y + y√√x=0 y(0) = e

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Q: Solve the differential equation. 6. (w^3 + wz^2 – z) dw + (z^2 + w^2z – w) dz = 0

A: Use exact differential equation concept

Q: Evaluate the following integrals. y = f(x) a. b. C. d. 16 0 f(x) dx [f(x) dx Ja (2|f(x) +3f(x) dx…

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Q: Use Lagrange multipliers z = f(x, y) = x² - xy + y² to find the absolute maximum and minimum values…

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Q: I For what values of x does the graph of f have a horizontal tangent? (Use n as your integer…

A: In this question, we want to know at which points , the function f have horizontal tangent.

Q: rite the first five terms of the sequence: √n² +10n-n}+1 = etermine whether the sequence converges,…

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Q: 2. f(x) = 1 x²-1

A: We have f(x) =1x2-1

Q: 5) y ² ( x dy + ydx) = (xy + 2) dyz

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Q: Find the general solution for the following Second Order Deferential Equation: d²y Q4: dx² - y = ex…

A: The given differential equation is;  d2y/dx2 -y=ex+x2.

Q: 4. Three collinear vectors, a, b, and c, are such that à = 2²/b b and à = 1/2c. (a) Determine…

A: The objective of the question is determine the knowns.

Q: Two functions and g are defined in the figure below. 8 9 Domain off Range of f Domain of g Range of…

A: Let's solve.

Q: Solve the differential equation. 7. (cosx cosy – cotx) dx – sinx siny dy = 0

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: tially contains 50 gal. of fresh water. Brine (water in which a certain number of pounds of salt…

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Q: Solve the differential equation. 2. (y^2-2xy + 6x) dx – (x^2 – 2xy + 2) dy = 0

A: To solve the given diffrential equation.y2-2xy+6x dx-x2-2xy+2 dy=0