1. Find the volume of the solid determined by x² + y² ≤ zª and z¹ ≤ 1.

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A: The given function is

Q: y = = = = ₁ y = 0, 1 ≤x≤ 2 al Find exact coordinates of centrod b) sketcn the region bounded by the…

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Q: If f(x) = f'(x) = f'(4) = tan x - 5 sec x 3x² tan(x) sec(x) X

A: The Quotient Rule:Use the common derivatives:

Q: 1. Find the derivative of: a. y=(x-1/x+1)^2

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Let f(x) = 2x + 3 and g(x) = -3x - 6. Compute the following. (a) (fog)(x) (b) (fog)(9) (c) (gof)(x)…

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Q: Express each function as a composition of two functions. (Find f(x) and g(x) such that the given…

A: We have to write the given function as a composition of two functions.

Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane x+y=5,…

A: Equation of plane : and equation of cylinder : Find the volume of the region in the first octant…

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A: The equation  defines a curve named as the Folium of Descartes.By using implicit differentiation to…

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Q: Evaluate the indefinite integral. 0+ +C 54 sin x COS X dx

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Q: 4. Use Calculus to graph g(x)=x² + 4x³. Make sure that your graph shows all intercepts, extrema, and…

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Q: Consider the following. f(x) = √√49 - x² Find the critical numbers. (Enter your answers as a…

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Q: ind the limit if it exists. lim (12x+11) elect the correct choice below and, if necessary, fill in…

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Q: Let A(x) = f(t)dt, with f(x) shown in the graph below. 4 3 2 1 X -1 -2 -3 -4 -5 A 5 At what x values…

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Q: The function f (x, y) = x³ - 3x² y + 3xy²-y3-11 22-2xy +49 y2 - 16 x + 208 y + 131 has a critical…

A: In this question, we will solve the all parts.

Q: Use the definition of e, and numerical approximations as h approaches 0 from the left, and h…

A: Use the definition of e, and numerical approximation as h approaches 0 from the left and h…

Q: The populations of Towns A, B, and C vary exponentially with respect to time. The population of…

A: The populations of Towns A, B, and C vary exponentially with respect to time.1.The population of…

Q: Given the vector = (2y, 5x, 0), the curl of = 7 Give your answer in terms of the unit vectors i, j…

A: Consider the vector v

Q: The graph of y = f(x) is given below. -5 150 num -4 lim f(x) AI-1 -3 -2 5 4 3 2 -1 -1/ 1 2 4…

A: A graph of the function  is given.The aim is to find the given limits.

Q: Consider the following. See Examples 4, 5, and 7. y = (x-4)³ Find the critical numbers. (Enter your…

A: In this question, we will find the critical point and the intervals on which function is increasing…

Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

A: To state the order of the given ordinary differential equation. To determine whether the equation is…

Q: Find f. f(t) f'(t) = t³ + -/-/7₁ t5 t> 0, f(1) = 4

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Q: A) Find the derivative of f(g(x)) at x=2  if f(2)=6, g(2)=3, f'(2)=1 and g'(2)= -2

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Q: Q9: Showthat triangle ABC is right at A where A(1,0,1), B(2,1,0), c (1, 2, 3).

A: Question No. (9):To show that triangle ABC is right at A where . Note: Since the student has posted…

Q: Suppose a triangle in space has vertices (a, b₁, ²₁), (a₂, bz, C₂) and (93, b3; (3). Explain how you…

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Q: What is the acceleration of r(t) = (et cos(t), et, t).

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Q: Consider the following differential equation to be solved by the method of unde y" + 2y = -18x²e2x…

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Q: A chemical substance has a decay rate of 6.7% per day. The rate of change of an amount N of the…

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Q: 4. Let f(x, y) = (a) (1,-1). Find the slop of the surface z = f(x, y) in the x-direction at the…

A: given function

Q: Suppose R is the shaded region in the figure. As an iterated integral in polar coordinates, A = B =…

A: The figure

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Q: Seperate the variable and solve the equation 2y (dy/dx) + 2x = 0. Use the initial condition x = 0;…

A: The given equation .The aim is to find the solution with the initial value .

Q: describe what you would have to do to your graph of f(x) to sketch g(x)= (x+1)^2-4(x+1)+3

A: The given function is .The aim is to describe how to sketch the graph of the function using the…

Q: u(x) 10 7x3

A: Consider the function

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Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: Use the quadratic formula to solve the equation. Give two forms for each solution: an expression…

A: The given quadratic equation is

Q: J 4³ (u + 1)² du

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Q: Consider the function f(x) : = m2 – 52+4 x + 2 a. Find the first derivative. f'(x) = b. List any…

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: Suppose that in a certain biology lab experiment, the number of bacteria is related to the…

A: Suppose that in a certain biology lab experiment, the number of bacteria is related to the…

Q: Consider the following. 8n 77 Calculate, to four decimal places, the first ten terms of the sequence…

A: The sequence is given by :-

Q: Find the reduced echelon form of the matrix: M 1 2 3 1 4 1 2 19

A: The Matrix is given by :

Q: Form a polynomial whose real zeros and degree are given. Zeros: -4,0,1; degree: 3 C Type a…

A: we are given the zeros, and we need to find out the function.

Q: Find the square root of 7225 with the modern method

A: A number's square root is a value that, when multiplied by itself, returns the original number.

Q: Find the equation of the tangent plane to the surface determined by x³y² + z-30 = 0 at x = 3, y = 5.…

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Q: Evaluate the limit: limħ– →0 0-2 01/1/20 0 - 12/1/2 2 an ( 7 +h)-tan (7) h

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