Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-1, 6, –3), C(1, 9, –10), D(3, 4, –4)

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.669 and y =…

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Q: ential equation of the family of curves y B are arbitrary constants

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Q: Air is being the dumped into a spherical balloon at a rate of 5 cm3/min. Determine the rate at which…

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Q: The integral expression J xcos-(2x)dx can be evaluated using integration by parts of the form Judv=…

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Q: Select the correct graph of y = sinx, y = 0.2, and y = - 0.2. Figure 1 Figure 2 651 Figure 3 Figure…

A: Here, the given curves are : y=sin x, y=0.2, y=-0.2

Q: Let C be the triangle with vertices at (0,0), (1,0), and (1,1) oriented counterclockwise. The vector…

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Q: f(x)=3x2-12x+5 and the closed interval [3,0] Which of the following is the absolute maximum and…

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Q: Find a set of parametric equations for the line passing through the point (8, 0, 9) that is parallel…

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Q: Find the vector v with the given magnitude and the same d Magnitude Direction ||v|| = 31 u = (0, 5,…

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Q: sec3x The integral of the given function dx is Atan3x cot 3x cot3x а. +C 9 b. – cot 3x, cot3x + C 3…

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

A: (x1, y1, z1) =(0, 0, 81)(x2, y2, z2) =(18, 18, 0)The parametric equations are given…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find the area bounded by the curve 2x2 + 4x + y – 0 and the line y + x = 0

A: To find the area of region bounded by the given curves.

Q: A factory produces bicycles at a rate of 100 + 0.3t – 0.9t bicycles per week (t in weeks). How many…

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Q: Determine the order and degree of the differential equation y' + y" = sinY O 1st order, 4th degree O…

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Q: Find the vector v with the given magnitude and the same direction as Magnitude Direction u = (0, 5,…

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Q: Air is being pumped into a spherical balloon at a rate of 5 cm3/min. Determine the rate at at which…

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Q: Give all solutions of the nonlinear system of equations, including those with nonreal complex…

A: 5x2+y2=1 --->1x2+2y2=11x2=11-2y2 --->2Substitute 2 in 1511-2y2+y2=155-10y2+y2=19y2=54y2=6y=±6

Q: 19. Which of the following illustrative equations will give a slope 10 of the tangent line to its…

A: A)y=2x2-2x at (2,3)Differentiate…

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x-In(x) given the…

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Q: Tank # 1 initially holds 50 gals of brine with a concentration of 1 lb/gal, while Tank # 2 initially…

A: The working principle here will be Rate of change of salt=Inflow of salt-outflow of salt. The amount…

Q: 3. y = tan(sin 2x)

A: Please see the answer below.

Q: 9. The radius of a circle is increasing at a rate of 3 centimeters per second. At a certain instant,…

A: We want to find the rate of change of area of the circle when r= 8 cm and the radius of the circle…

Q: Let F(x) = f(x) + g(x)e\ + h(x)e²× + C be the antiderivative of G(x) = (x+ e*)“. Determine the value…

A: Given problem:- Let F(x) = f(x) + g(x)ex + h(x)e2x + C be the antiderivative of G(x) = (x + ex )2…

Q: [tan (x)sec (x)dx cot (x)csc°(x)dx sin (x)cos (x)dx

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Q: If the Wronskian W of f and g is t'e, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: 3.S(1 + e2x)5e2x dx

A: Note: As per the company policy we are supposed to solve only one question, so kindly repost…

Q: xsin-(x) If x =0.03 and y = 0.62, then value of C in the antiderivative of F(x) = is V1-x2

A: Given  F(x) = x sin-1(x)1-x2

Q: _8. Water is pumped into a spherical tank at a rate of 3 cubic feet per minute. Which is the correct…

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Q: 11 а а? A = |1 b b² c2 %3 (b — а)(с — а)(с - b) |1

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Q: Solve the initial value problem y" – 6y' – 16y = 0, y(0) = a, y (0) = 8. Find a so that the solution…

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Q: 1. (x*+6y*)dx – 4xydy=0

A: The given DIFFERENTIAL EQUATIONS is x2+6y2dx-4xydy=0 ...................... (1) This is homogeneous…

Q: Match the integral expression on the left to an equa expression on the right. Ssin(əxisin(4x)dx…

A: In the first and third integral....minus sign will not come in the answer expression...as I have…

Q: nd the implicit differentiation by using Total Derivatives a unction, x³ cos(2y) – 3x4 + 2e3y

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Q: dy dr (1+x)y = xy²

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Q: Let F(x)= f(x) + g(x)e* + h(x)e2x+C be the antiderivative of G(x) = (x+ e*)", Determine the value of…

A: Explanation of the answer is as follows

Q: representing all ellipses having its centers at the origin and transverse axis x. a " + (w/)*] + yw…

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Q: Let f(x) = /20 – x. Compute f'(4) using the limit definition f'(4) - - Find an equation of the…

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Q: dx + (x- y + 2)°dy = 0 4.

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Q: Select the correct graph of y = sinx, y = 0.2, and y = – 0.2. 03 Figure 1 Figure 2

A: We have to use properties of functions to solve the

Q: Directions: Determine whether the given functions is continuous, differentiable, neither, or both at…

A: d) The graph is continuous.Since there is a sharp point at x=0.So, it is not differentiable.It is…

Q: y = 4 + cze3x

A: We can eliminate the arbitrary constants in the following steps.

Q: Let F(x) = f(x) + g(x)e* + h(x)e²× + C be the antiderivative of G(x) = (x+ e*). Determine the value…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Find the x component and y component of each vector and then add them.

Q: In the accompanying figure, arc AB of circle 0 measures 70. If the measure of ZAOB is represented by…

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Q: Consider a differentiable function f(x) :[-, →R such that f' (x) = 32? – 3 and f(0) = 1. Which one…

A: We need to choose correct option.

Q: To apply this test we must first find Y'(N). Doing so gives the following result. kN Y(N) 16 + N2…

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Q: (3a + 3m2) da – 6amdm = 0 %3D |- aC = a² – m? aC = a? – m2 %3D | Option 1 Option 2 C = a + m Option…

A: The differential equation Pda+Qdm=0 is said to be exact if ∂P∂m=∂Q∂a. The solution of the…

Q: Consider the following planes. -5x + y + z = 5 20x - 4y + 5z = 25 (a) Find the angle between the two…

A: Consider the following planes -5x+y+z=520x-4y+5z=25a To find the angle between the two planes.b To…

Q: If the population of a country doubles in 50 years. In how many years will it triple under the…

A: Let P be the population of the country at time t.