Sketch the region enclosed by the curves and find its area. y = e", y = e10, x = 0, x = ln 2 NOTE: Enter the exact answer as an improper fraction if necessary. A : ||

Q: d. f(x) = sin (cos*x)

A: Given :- f(x) sin5(cos4(x))  To find:- Derivative of f(x)

Q: dx - 4хydy-C

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

A: We can solve this as follows:

Q: 2) The complex conjugate of z is denoted as z. Solve for z in the equation: z - 12 = j(9 – 2z)…

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Q: Find the angle e between the vectors in radians and in degrees u = cos()i + sin()i, v = cos( )i +…

A: Answer as follows

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A: We will find all the correct options of this problem related to Rolle's theorem as following. As per…

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: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the…

A: The radius of the sphere is increasing at a rate of 5mm/sits diameter is 80 mm

Q: A plane flies at a speed 560 km/hr at a constant height of 15 km. How rapidly is the angle of…

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Q: Find the two -intercepts the function r and show that 7 (x) = 0 some polnt between the two. f(x) =…

A: Given query is to find the x intercept.

Q: The fox population in a certain region has a continuous growth rate of 5 percent per year. It is…

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Q: Y = x**

A: Given query is to find the derivative.

Q: Use the formula for arc length and the equation x2 + y2 = R2 to derive the formula for the…

A: Use the formula for arc length and the equation x2 + y2 = R2to derive the formula for the…

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: 27 Зx dx

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Q: {an} = {2(-1)"+1}

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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: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: Use the unit circle, reflection, and symmetry to determine the angle 0 that corresponds to the given…

A: Solve the following

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

A:

Q: etermine from the graph whether f has a minimum in the open interval (a, b). (a)

A: answer of given question is in step 2

Q: y = cosx sinx

A: Given query is to the derivative of the expression.

Q: Given the following vectors a =(-1,-2),5 =(-3,-4),c = 2,-1), d = (-4,3) Use the dot product and…

A: We have to use dot product and scalar multiplication to find the relation between vector b and d.

Q: (2x-3 ifx22 6. f(x)= -2x+2 if x< 2 if x2-2 x+2 7. f(x)=-x-1 ifx<-2

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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: 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: y(x) =x' (2x – r²)

A: solution

Q: Evaluate the integral of the following. 1 | sec*-xtan* 1 2* dx

A: We will evaluate the integral as following.

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

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Q: A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south…

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Q: 1 dx, x > 2 x2 Vx2 – 4

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Q: Match the integral expression on the left to an equal expression on the right. Ssin(3x)sin(4x)dx -…

A: Let's find.

Q: 1 1 -+- 3 lim x→-3 3+x

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

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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

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Q: Use the rules of differentiation to to find the derivatives of the functions: f(r) = 5xª – 10x-2 +…

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

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Q: fully continuous for all x E R by use of the product rule differentiate the function f{x} = x3e-4x

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Q: Al saves pennies. He agreed to give 2/5 of his pennies to Bev if she would give 2/5 of what she got…

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Q: pdf. Carefully sketch a function which has the following sign charts. + + f' x=0 x-2 f" x-1 +

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Q: The population P(t) of a bacteria culture is given by P(t)=-1,500t2+60,000t+10,000, where t is the…

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Q: -2 -1 0 3 6 |

A: We have to find out the limit

Q: Please Solue tollowcing parts by using synthic division O3x²-172+15x -25)÷(x-5) 14x -9x+8x - 18) =…

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Q: 29. Solve (x3 + y³)dy+ x²y dx = 0. %3|

A: Given problem:- Solve (x3+y3) dy +x2 y dx=0

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: 15. Which of the following has terminating derivative? 1 1. у %3 Зх3 — 2x2 + х-1 —5 II. y Зx+2 1 . у…

A: We will find the terminating derivative.

Q: Find dy/dx by implicit differentiation. x5 + y6 - 63 dy/dx =

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Q: Suppose r lIs a differentiable function of x and y, and g(u, V) = (e sin(V), V)). Use the table of…

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