dy 20. Use implicit differentiation to find the derivative for the curve defined implicitly dx by the equation: x²y + 2x + 5y^2 = 12. %3D

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Q: derivatives

A: We will solve the 2 problems.

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Q: 5. S sec(3x) tan(3x) dx

A: formula:∫ secx tanx dx =sec x +Cwe are given;I=∫ sec(3x) tan(3x) dx3x =t3 dx =dtdx =dt3

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A: We have to use Descarte's Rule of Signs to determine the possible number of positive and negative…

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Q: 6. Use Lagrange multipliers to find the minimum and maximum values of f(x, y, z) = 2x + 2y + z under…

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A: Given :A=(-5,-3)B=(2,6)

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Q: Consider the integral / 3x* (25 + 1) dz. In the following, we will evaluate the integral using two…

A: ∫ 3x4x5+1dx=3·∫ x4x5+1dx=3·∫ x9+x4dx=3∫ x9dx+∫ x4dx=3x1010+x55Add a constant to the…

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A: Find your answer below

Q: 19. Find the equation for the line tangent to the given curve y f(x) at the point P. (a) f(x) =…

A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

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A: f(x)=-sin(2x)-1≤sin(x)≤1-1≤-sin(2x)≤1Amplitude of f(x) is 1.g(x)=cos(x)-1≤cos(x)≤1Amplitude of g(x)…

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A: We have to find the derivative of the given function.

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A: Apologies for the inconvenience.   Given that where the two lines L1 and L2 intersect there y…

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A: Here we have the perimeter of the isosceles triangle = 38 m,  Let the equal sides of triangle = x…

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A: Solution is given below:

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A: As we know that; The expression for the gradient or slope; m=dydx And The Power law; ddxxn=nxn-1

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A: Given query is to find the demand function.

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A: We can solve this as follows:

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Q: Find the demand function p, given the marginal-revenue function dr/dq below. dr = 269 – 9q - 1.29 dq…

A: Here, the given marginal revenue function is: drdq=269-9q-1.2q2...(1) where r is the revenue…

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for 00. /3+5x2 (a) lim 3+11a V3 +…

A: LetL=limx→∞ 3+5x23+11xDivide x on N and DL=limx→∞ 3x2+53x+11L=limx→∞ 3x2+5limx→∞…

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Q: given funchiow: fox) = x?e?" Defermine any pants of inflectro

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Q: 33 3.

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Q: Show your solutions for each of the questions in the following. Evaluate each indefinite integral.…

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Q: Suppose log ,2 = a and log ,3= c. Use the properties of logarithms to find the following. log b…

A: Now,                logb1728b=logb1728+logbb=3logb12+logbbUse logbb=1.=3logb12+1