#15) Determine y' a.y=sin 2x b. y = x² sinx co y = sin(-x) Determine #16.> d.) y = cos x sin x e-> y = cos²x foy - cos xsin²x the equation of the tangent to the Curve y=cosx at (0)

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A: if we cut the cone horizontally we get circle

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A: Here we have to find the domain of the given function.

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A: Given query is to find the volume of the figure.

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A: Given :f(x)=x2+2x-4   [-1, 2]

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A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

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A: A detailed solution is given below

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A: A tank is full of water. Find the work required to pump the water out of the spout .water weight is…

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Q: Evaluate the first derivative of the function below at (1, -2). y X - - + + + 1/4 = 5 y x

A: Given: xy+yx=5   As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Power Law: ddxxn=nxn-1

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A: Topic = Derivative

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A: Concept: The Gauss Jordan Elimination: The Gauss Jordan Elimination, also known as the Gaussian…

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Q: #8.) Determine the slope of the tangent at point (1,4) on the graph of f(x) = (9-x²) ²/

A: Topic = Derivative As per guidelines , At a time only one question can be answered. Please repost…

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A: A hyperbola centered at 7,0 has a focus at 7,5 and vertex at 7,4.

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A: We need to evaluate the following limit limx→4x2-3x-42x-4

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Q: U (d) Let t ==; V at u = x² - y², v = 4xy³. Find- and Əx dy

A: According to our guideline we can only answer first question and rest can be reposted.

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A: To evaluate the value of function given from x=2 to x=4.

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A: We have to solve the differential equation

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A: We can solve this as follows:

Q: 19

A: it is vertical parabola.

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Q: 14. Find the equivalent integral of * S x(x+1) O-f3dx + f 3d x+1 dx OS÷-1# R x+1 01 Of //dx -…

A: Here we have to apply partial fraction.

Q: = Evaluate the exponential function below from x up to x = 5. ſ((5x¹+2x) (2x³ + 1))dx

A: