To determine the area of the region bounded by x = y^2 - y - 6 and x = 2y + 4, first we have to calculate the limits of the graph O - 23xs5 O - 2sys5 O 2sxs 5 O 2sys 5

Q: (a) Find the equation of the tangent line at A. (b) Find the area of the shaded region enclosed by…

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Q: 4 2 -3 -2 -1 1 2 (b) Find the exact values of the numbers c that satisfy the conclusion of the Mean…

A: Let's find

Q: - The price-supply and price-demand equations of a certain product are given by p = S(x) = 15+ 0.1x…

A: To find the producer surplus.

Q: Suppose f(x) is a function that satisfies the following inequality for all x: 1+3 cos(x) < f(x) <…

A: Solution: The given inequality is

Q: Find the first derivative of y = ( ex – e –x ) /  (ex  + e –x ) and y = ln [ x  +  √ (x2  + 1) ]…

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Q: Q1: Find The Fourier series for the function defined by 0 <x < 41 -4 <x< 0J f(x) = {* - %

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Q: x² + 4x + 1 · dx | (x – 1)(x + )(x + 3)' 3 국lnlx-11+ anlx +11-x + 31 +C Inx - 1| + Inx + 1| + Inx +…

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Q: 39.54 divided by 3

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Q: V1-x² 1–x2 dy dx -1 . J-V1-x²

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Q: What is the definite integral representing the area of the given region below? A. A= (1,1) В. А-D…

A: Area of a region bounded by two curves y=f(x) and y=g(x) is given by, A=∫ab |f(x)-g(x)|dx where a,b…

Q: Evaluate the limit, using L'Hôpital's Rule If necessary. (If you need to use or-w, enter INFINIT x -…

A: we have to find the limit

Q: 13п What is the exact value of sin-(x) if x =cot 4 A 4 B 4 D 티2

A: Option (c) π2

Q: 25n Evaluating sec will yield to 6 V3 A 2 2/3 B 3/3 © - 2 V3 D 2.

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Q: Use Partial Fractions x* + 3x? – x – 8 dx x3 + 4x

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Q: Evaluate the integral Se*dx

A: We can solve this as follows:

Q: Evaluate the limit lim Vx + 5x + 15 x .2 Submit Question

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Q: (x² + 2)² Find the dy/dx: Given y =

A: Find the dy/dx

Q: (hen? + h? eh* ) di

A: The integration of the integral is  (heh^2+h2eh^3).

Q: Write an equation for the polynomial graphed below 5+ 4 2+ 1+ -5 -4/-3 -2 -1 -1 1 2/34 5 -2 + -3 -5+…

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Q: 9. State whether each of the following functions is convex, concave, or neither. (a) fo -e (b) f) -e…

A: Note- as per our guidelines we have to answer only first three parts if multiple parts are posted in…

Q: to complete Problems Use >, , <, or = 8. 3 -5 -3 01

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Q: (D² +4)y = 4cos x

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Q: D. Define the multiplication operation * as modulo 10 in G = {1, 3, 5, 7,}. Cr table for this.…

A: Topic:- algebra

Q: Given the function h(x)=*-4 and k(x)=-+4. 9. 3 а) State the domain of h(x) and k(x). b) Find and…

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Q: Find the laplace transform of the following: a.) f(t) = t3 - t2 + 5t + 2 b.) f(t) = cos25t c.)…

A: We know that L{tn} = n!sn+1        and          L{sin at} = as2+a2        and       L{cos at} =…

Q: 7 What is the exact value of sin if sin() = 5, where <v<n? 10 7/7 B 10 10 7/2 10

A: Given that,     sinv=725, where π2&lt;v&lt;π

Q: y+4 =-V2x

A:

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at a = 3 and roots of multiplicity 1…

A: P(x) has a root of multiplicity 2 at x = 3, so (x - 3)2 is a factor of P(x).  P(x) has a root of…

Q: What is the exact value of csc(– 1305°)? V3 A B D 2.

A: using csc(-x)=-csc(x) and  csc(360n+x)=csc(x)

Q: Find the first derivative of y = cos4 x – sin4 x and y = x3   –  x2 cos x  +  2x sin x  + 2 cos x…

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Q: (ax-2) dx x2+ 2X + 15

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Q: Find the first derivative of  y = (x – 1) √ (2x – x2)   + arcsin (x – 1), and y = arctan [ (3 sin x)…

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Q: The surface area of the solid of revolution of the region bounded by y = 2x, x = O and x = 2 about x…

A: Given: y=2x We know that surface area of solid of revolution about x-axis over the interval [a,b] is…

Q: Calculate the volume of the solid limited by the given surface 3x+2y-z=6 and the conventional…

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: topic - indefinite integration

Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hopital's Rule. sin(9x) lim 7x…

A: We have to find the limit

Q: Use the specified substitution to find or evaluate the Integral. 3. dx Vx(1 + x) = Vx

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Q: In ly-y-cf dy

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Q: If e is an angle in standard position, csc(0)<0 and cot(0)<0, then the terminal side of 6 lies in…

A: Option (A)  4th Quadrant

Q: Find S(-sin³0 – sin@cos20)d0

A: This can be solved as follows:

Q: If f(x) is an even function and f(x)dx = 5, find the value of , f(x)dx. %3D O 10 O 5 O cannot be…

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Q: tan e de sece+ 4 cos € COS

A: The given integral is tan(phi)/[sec(phi)+4cos(phi)]

Q: g³ + x² + 2x+1 d.x (x² + 1)(x² + 2)

A: Explanation of the answer is as follows

Q: x3 dxp (x²+4)7

A:

Q: Find the volume of solid generated by revolving te area enclosed by : x=y²+1, x=0,y=0 and y=2 about:

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Q: General solution of x dy = (2xex – y + 6x2) dx %3D

A: The given equation is: x dy=(2xex-y+6x2)dx That can be written as:…

Q: Let g(x) = | VI+7i dt. Use the Fundamental Theorem of Calculus to find g' (x). g' (x) =|

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Q: Converting 1530 degrees to radians will correspond to which value? 19n 3 201 B 3 29Tt

A: The value of θ° to radians is given by        ∅ = θ×π180  radians

Q: Solve sin (t) = - 8 cos (t) for all solutions 0 St< 2n t = Give your answers accurate to 2 decimal…

A: See this solution in below

Q: 15. Find the width of the lake pictured below: 900 ft 800 ft 70°

A: