Find an equation of the tangent line to the graph of y = x³ - 3x - 1 at the point (2, 1).

Q: A graph consisting only of a vertex is a complete graph. True False

A: Recall:  The complete graph on zero/one nodes is a trivial graph also known as the null…

Q: x-1 +1 1-z Q1) Find equation of plane normal to line *-¹ == and pass through line 3 2 1 x=y=2.

A: Concept: The standard form of the line is x-x0a=y-y0b=z-z0c Here a, b c represents the normal…

Q: A conical vessel full of water is 16 ft across the top and 12 ft deep. Find the work required to…

A: Given: Volume of the conical vessel=13π r2h          where r= radius of vessel                    h=…

Q: Determine the number of outcomes in the event. Decide whether the event is a simple event or not.…

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Q: For the function f(x) = f'(x) = 0 x² 1+x find f''(x). Then find f''(0) and f''(8). 1

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Q: Find the area of the shaded region. r = 1 + cos 0

A: Here, the given curves are r=1+cos θ & r=3 cos θ First of all find the intersection points of…

Q: B)Solve differential equation dx = -(x²+y) x+siny

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Q: Find the general indefinite integral. (Use C for the constant of integration.) [(7x² + 8 + 2²1) dx +

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: A T-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts…

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Q: Use logarithmic differentiation to find y = (In x) sin, x> 1. dy dx given

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Q: p=q= r= (Simplify your answers, including any radic

A: Follow the procedure given below.

Q: Using the Inverse Function Theorem, what is (g-¹) (-2) given that g(x) -3x+2 = ? Note that x-8…

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Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2…

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Q: 22 Find the number of connected components for the graph below. b 1 2 3 4 a. 8 d C h

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Q: -4 -3 -2 -1 0 3 4 1 2 Write an interval to describe the set of values shown above.

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: Solution given below

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

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Q: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) = 14(s -…

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Q: Question 32² If F(x) = √3+ Int dt, what is F"(x)? (Do not include "F" (a) =" in your answer.)…

A: This question is related to differentiation, We will solve it using given information.

Q: The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated…

A: Given  A=7716-32-72-113214432-59   λ=-3,5,5

Q: An artist can complete 11 drawings each month. Currently her portfolio contains 50 drawings. How…

A: This question is related to algebraic operations, we will solve it using given information.

Q: ᴛʜᴇ ᴅɪᴀɢʀᴀᴍ ʙᴇʟᴏᴡ ʀᴇᴘʀᴇꜱᴇɴᴛ ᴛʜᴇ ʀᴏᴏꜰ ᴏꜰ ᴛʜᴇ ʙʀᴏᴡɴ'ꜱ ꜰᴀᴍɪʟʏ'ꜱ ꜰᴀᴍʜᴏᴜꜱᴇ. ᴀʟʟ ʀᴀɪɴ ᴡᴀᴛᴇʀꜰʟᴏᴡꜱ ꜰʀᴏᴍ ᴛʜᴇ…

A: We have to find the total area.

Q: Use logarithmic differentiation to find y = x³ (5x + 3)¹ (2x - 1)5 dy dx given

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Q: Determine whether​ Rolle's theorem applies to the function shown below on the given interval. If​…

A: This question can be solved using the concept of Rolle's Theorem.

Q: Which of the following integrals is convergent? Select the correct answers. .24 0 of OP 0 2 X dx dx…

A: We have to find which of the following integral is convergent. (a).…

Q: Which graph represents the function f(x) = x+1?

A: In this question we have to find which graph represent the given function.

Q: 2 Q41 x ² dy- (xy + y ² ) dx = o Q4\x

A: The objective of the question is evaluate the differential equation.

Q: which f(x) is negative. Determine the intervals on which f(x) is positive and on…

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Q: For the function ?(?) = ?2 − 2? + 5, estimate for the instantaneous rate of change at x = 3. Round…

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Q: Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x² + y²…

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Q: Determine the direction angles for the line with parametric equations x = 5 + 2t, y = 12 - 8t, and z…

A: Direction angle

Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

A: To find out the extrema of the function.

Q: 10 End of block exercise: Pase 1002 find a solution: general solution of the differential equation…

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Q: Evaluate the integral f sin²x cos³xdx.

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Q: dy B)Solve differential equation dx -(x²+y) x+siny

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Q: Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y - 5z…

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Q: a dy Find given y = 4 In da

A: The given function,   y=4x lnx

Q: Determine dy/dx y = (In 2x) - (ln(3x + 1)) 1 3x²+x 3x 1 None of the choices 1 3x²-x

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Q: (a) (8,4) r> 0 r 0 r 0 r< 0 -5) 3 = = (r, 0) (r, 0) = (r, 0) = (r, 0) =

A: Follow the procedure given below.

Q: Calculates the JR f(x,y)dA bounded by the given region I Loyan dA where the region S is given by the…

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Q: 18 What is the total degree G? 3 6 5 VI e₁ V2 ez VA

A: From the given graph G, we have to find its total degree

Q: Evaluate the integral. (Use C for the constant of integration.) X + 17 J dx x² + 16x + 68

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Q: 2. Find the domain for the following functions: x 4 3x a) b) c) √√x-7 x²+x-56 x²+4

A: As per Bartleby guidelines rule I am answering only three sub-part of a question. This question is…

Q: Evaluate lim x - 4 3 O O 3 1. 4 3 2 3 (2x + 1)² 3x² + 8x - 3

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Q: 3. Evaluate the double integrals. -1/2 (a) [fx(1+ y²) d4; R is the region in the first quadrant…

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Q: f 2³x dx = O 0 23x In 2 + C ○ 23x+1 + C 3x+1 23x In 8 0 23x ln 2 O + C + C

A: To evaluate: I=∫23xdx

Q: 14 Determine which statement is true Every simple graph is a complete graph. Every complete graph is…

A: below is your correct option

Q: 2)If z=(2√3-2i)2 then the angle 8 in polar 7n 117 6 6 form: خیار 1 117 اس 3 خبار 2 خبار 3 C

A: z = (23 -2i)2 z= (23 )2- 2*23 *2i  + 4i2 z = 12 - 83i -4 z = 8 - 83i

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(8r - s, s² - 7r). Use the table…

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