Using S- dx x√√x-1 Rationalizing Sfy)dy, find ffy)dy Substitution

Q: 5. f(x) = x²(3x + 2)³; f'(-2)

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Q: Find the Critical points of the ff equation and Determine the Maximum and Minimum. - 2. y= 4x -432x…

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Q: The cylindrical shell method is to be used to compute for the volume of the solid generated by…

A: Given

Q: y"" + 4y = 0 when x = 0, y = 0, y = 0, y″ = 1|

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Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A: Solve the following

Q: A street light is at the top of a 10 ft tall pole. A woman 6.5 ft tall walks toward the pole with a…

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Q: Given cos(8): = B 5 and the terminal side of 8 lies on the fourth quadrant. What is the value of sin…

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Q: Evaluate the definite integral I. 1 = [₁² [(e-x + 1) dx -1 I =

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Q: Given the function f(x, y, z) = x ln(1 - z) + and simplify your answers. a) fa b) fxz sin(x - 1) 2y…

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Q: termine the derivative of the following implicit function on a separate sheet paper, assuming that…

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Q: The graph of y=sin(x) is reflected first in the line x = π and then in the line y=2. The resulting…

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Q: Evaluate z' if z = [1 + (x² − 1)³] ²³ O a. 2(2²-1)² (1+(2²_1)²³) i O b. none of these О с 41(2²-1)²…

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Q: Evaluate: 2 1. lim [√x²+x= √√x² + 4] ∞0++x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: W (4) Find Laplace Transform F(s) for the variable x or y in the equations a- +2y'-3y=32e³;…

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Q: Determine the area bounded by the curves x³ - y = 0 and y+ 3x² − 4 = 0, using a vertical element. A…

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Q: The tangent line to the curve at the point (1,2) also passes through d²y the point (-1,4). If at any…

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Q: Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

A: Here we have to find the value of r and then plot the polar graph.

Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: dt dx dt -2x=4; where x(0) = 1

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Q: Find all critical points of f(x) = 1 + 10x - x² and use the First Derivative Test to determine…

A: We are given f(x) = 1+10x-x2 We have to find critical points of f(x) and using first derivative test…

Q: 5. Evaluate the following integral using spherical coordinates: 2-x²-y² ста z dz dy dx. x² + y²

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Q: 10dz S 4z³ - 4z²+ 5z

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Q: particle moves along a straight line with equation of motion s = f(t), where s is measured in meters…

A: Topic:- application of derivatives

Q: The directional derivative of f(x,y,z) = In 1+yz from P to Q(-1,-1,2) is given by .... .(Correct to…

A: Given :f(x,y,z)=lnx21+yz-3xz2

Q: Evaluate the integral of the following: S(-4t+12) (5t +15)dt

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Q: Part II: Find the first partial derivatives of the given functions. z = (y/x³)(x/y³) ENTIA EDIA…

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Q: The volume of the solid generated by revolving the region bounded by y = 2x - x² and (5a+1)π y = 0…

A: Volume

Q: Use the shell method to find the volume of the solids generated by revolving the shaded region about…

A: Volume of solid revolving about x axis  between curves h(x) and f(x) is given by

Q: The graph, when the curve y = √3 + x² from x = 0 to x = 4 is rotated about x - axis is A B C D

A: To find the graph of the solid formed by rotating the given curve about x axis, first we find the…

Q: 4. O y=√3 x=3-y² D

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Q: Which ONE of the following statements is CORRECT with regards to the sequences of real numbers? OA.…

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Q: = log3x + log(5x²-3x) - log3x², express x in terms of y.

A: Topic:- algebra

Q: Find the derivative of the following using the differentiation rules. x3 +6√x-7x+3 f(x) =

A: In this question, we need to find the derivative of the given function.

Q: Determine the derivative of the following imp of paper, assuming that it is differentiable.

A: given is x+y3=2c(xy4)differentiating both side with respect to xdxdx+dy3dx=d(2c(xy4))dxusing product…

Q: Find the area bounded by the curve x = y^2 + 2y and the line x = 4.   *Draw/Plot the diagram for…

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Q: If u = ₁+₂y+z, where a₁, A2, A3 al constants and J²u J²u J²u น a +a+a = 1. Show that + + = U. მ2 მყ2…

A: This question is based on Partial diffrentiation.

Q: Limzoo (√x² + 4x +1 − x) O a. 2 O b. none of these O c. -1 Od. -2 O e. 1

A: The objective of the question is evaluate the limit and choose the correct option.

Q: Evaluate the following definite integrals Lx finck if fo for if xxO (sin x 1 x >0

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Q: The figure is the graph of the derivative, f', of a function f on [-3, 3]. Determine the intervals…

A: All answer is given.

Q: A closed wood storage having a volume of 27 in.3 is to be in the form of a right-circular cylinder.…

A: Given problem:- A closed wood storage having a volume of 27 in3 is to be in the form of a…

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

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Q: Iff and g are continuous on [a,b)], then [*[f(x)\g(x)]dx = [[*f(x)dx)(√*g(x)dx) a A True B) False

A: If f and g are continuous on a,b, then ∫abfxgxdx=∫abf(x)dx∫abg(x)dx

Q: The area between the curves f(x) = x², and g(x) = 1 O 1/2 sq units O 1/4 sq units 4/3 sq units 1/3…

A: Topic:- application of integration

Q: X 4e² Evaluate Sv dx 2 Use rationalizing substitution. A e√ex - 2 = 2√2 Arctan 1/2 √et et - 2 + C…

A: We have to find value of given Integral.

Q: iven u=[3,-4, 5] and v=[ 8, 15, -17]. Find (a) u dot product v (b) v dot product u (c) u cross…

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Q: Evaluate the following double integral over the given region R. JS Ta 4 ln(y + 1) (x + 1)(y + 1) dA…

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Q: The volume of solid of revolution when rotated along x - axis is given as A ny²dx a B Sny²dy a c…

A: We can find the solution to the given problem by using the disk method.

Q: Using Simpson's method [x³dx for n = 6 is equal to Blank 1 (use 2 decimal places with proper…

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Q: Evaluate the following double integral over the given region R. 4 ln(y + [[ (x+1)(y+1) dA over the…

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Q: f (x² + 1)(x³ + 3x)² dx

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