dy Use implicit differentiation to find da y? + 8z = 3y – 5a? dy dx

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

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Q: Differentiate the function In x f(x) = In 2x+3'

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Q: dy Q10., Solve (1+ x²) + y = tan¬1x. dx

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Q: Use scratch paper to complete the table below, and estimate the value of the lim,0* f(x) where f(x)…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: mp must make an angi must a 15-foot ramp make with the ground to reach the same window? 30° 16° O…

A: Given query is to find indicated angle.

Q: Given the following vectors a = (-1,–2),5 = (-3,-4),6 = 2,-1), d = (-4,3) %3D Use the dot product…

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Q: Match the integral expression on the left to its suitable transformation on the right, after using…

A: We will use substitution for integration.

Q: Let y = 5x + 4c +3. If Ar 0.1 at z 5, use linear approximation to estimate Ay

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Q: Match the integral expression on the left to its suitable transformation on the right, after using…

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Q: A cylindrical can is to be made to hold 1 L of oil. Find the dimensions (in cms) that will minimize…

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Q: 1 dx, x > 2 x2 Vx2 – 4

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Q: find dx/dt at x=1 if y=3x^2+3 and dy/dt=1

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Q: Without a calculator or computer, match the functions e, In x, x, and x to their graphs in the…

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Q: Let y 3T. Find the change in y, Ay when x 2 and Ax 0.3 Find the differential dy when a 2 and da 0.3

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: locate the centroid of the plane area bounded by y=x^2 and y=x

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Q: The figure shows the graph of a cubic polynomial. 1,e 1,0 -6 The function graphed is f(x) = Hint:…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y - 2z = 5 4x - 20y – 4z =…

A: Solution is given below:

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

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Q: u = -6i – 2j – 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find the vector component of…

A: We have to find projection

Q: Evaluate: Jx?cos(2x)dx A None of the above 2x2sin(2x) – 2xcos(2x) + sin(2x) B + C 2x²sin(2x) +…

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Q: Consider the parametric the curve defined by the equations x = t² – 2t + 2 and y = t² + t. (a) The…

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Q: Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements.…

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

A: We have to find perpendicular vector to the given vector.

Q: Using the simplex method solve the linear programming problem. maximize z= 8x1 + 10x2 + 7x3…

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Q: Find the unit vector ofn = (4,-3) . 14 3\ 5'5/ O /4/5 35 5 5 /4 3\ 5/ 45 35

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Q: Find the area enclosed by one loop of the curve: r = 3sin(4theta)

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Q: sin“ (x)dx 4

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Q: Determine the derivative of the ff. functions. 5. y = 3 tan 3x, 2nd derivative 6. y = 6 csc x, 2nd…

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Q: 8. y = -5 e3x^2, 2nd derivative 9. y = 7 In 7x, 2nd derivative 10. y = -3 cot 2x, 2nd derivative

A: Question 8,Given,            y=-5e3x2To find : Determine the 2nd derivative of the given function.

Q: The integral expression J xcos²(2x)dx can be evaluated using integration by parts of the form Judv=…

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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: sin x e" dx Cos x

A: Given:       ∫sinxcosxex dx       =∫tanx exdx Integration by parts Formula:       ∫u dv=uv-∫v du

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: xsin-1(x) is 1– x² If x =0.58 and y = 0.31, then value of C in the antiderivative of F(x) = %3D %3D…

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Q: 10+ 8- 6- -6 -5 -4 -3 -2 -1 12 3 4 5 6 -2 -4 -6 -8 -10 The function graphed above is: Concave up on…

A: Solution

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

A: This is a problem of integration. Based on the uv formula we will solve the question.

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: Here, the equation of the given plane is: -x+5y+z=6 Therefore, the normal of plane is (-1,5,1). Now,…

Q: cos a eT dx ¤ dx Csc x

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Q: 6. A firm estimate that its daily cost function of producing and selling x items is C(x) = x³ – 6x²…

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Q: sets or parametric equations and symmetric equations of the line that passes through the given point…

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Q: x³-3375 Use scratch paper to complete the table below, and guess the value of the limx→15 2225 х…

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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: A rectangular tank with a square base, an open top, and a volume of 6912 ft° is to be constructed of…

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Q: Consider the following. u = -6i – 2j – 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find…

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Q: Differentiate the function In x f(x) = In 2x+3 %3D x>0

A: The given function is: f(x)=ln xln 2x+3,x&gt;0

Q: 3. For f(x) = rV9-x, find a). domain, b). f', the intervals on which f is increasing or decreasing;…

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Q: Application 3-Given that a=log, 3 and b=log ,6, find log, 24 in terms of a and b ommus icotion

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