Graph the following function. Then use geometry (not Riemann sums) to find the area and the net area of the region described. The region between the graph of y=x-3 and the x-axis for -4≤x≤4. Select the correct graph below. OA Ay Q Q L The area of the region is. (Type an integer or a simplified fraction.) The net area of the region is-(Type an integer or a simplified fraction.) OB. OC. Q Q G

Q: Determine a definite integral that represents the area of the region enclosed by r = 7 sin 0. •b…

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Q: Evaluate the integral by making an appropriate change of variables. JJ₂² 7 cos(3 (y + x)) dA where R…

A: The given integral  where R is the trapezoidal region with vertices

Q: Find the linearization L(x) of f(x) at x = a. f(x)=x+, a= 2 3 O A. L(x)=x+1 3 2 23 OB. L(x)= x+3 5…

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Q: Find the limit as a number, ∞o, or -∞o. Otherwise enter DNE. lim [√(√An+1 = √an)] = [ 4n n→ ∞o

A: Limn-infinity [sqrt(n) (sqrt(4n+1)-sqrt(4n))]

Q: Evaluate the following expression. log77⁹

A: ...(1)                         ...(2)

Q: Find an antiderivative of the function p(t) = t³ - 2 I t.

A: p(t)=t5−t42−t

Q: 1. Find the area bounded by x = y²; x = −2y² +3

A: To find the area bounded by

Q: Consider the following. f(x) = 48x − 4x2 Find  f '(x). f '(x) =        Find the critical…

A: The objective of this question is to find the derivative of the function f(x) = 48x - 4x^2 and then…

Q: -2 sec x tan x +5 sec x) Find the indefinite integral (- f(-2 -2 sec x tan x +5 sec²x) dx dx=

A: To Find: To evaluate the given integral.

Q: Air freshener A has a mass of 42 grams when opened and its mass decreases by 4.2 grams each day. Air…

A: The mass of the Freshener a=42 gmIf opened in the air decreases to  4.2% per dayThis means the decay…

Q: K Evaluate the following integral. X 2 X 2 x +3 +3 dx dx =

A: The given integral is x/(x2+3).

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: If f(x) = 15 to dt then f'(x) =

A: Note:-Since you asked multiple questions according to our policy we can answer only first question…

Q: Evaluate the following. log 6216

A: Let .We know that,

Q: Find the value of f(x) = -x +7, a=5 1 OA 2 df 1 dx OB. 7 O c. 2 1 OD. 7 at x = f(a).

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Q: Find all exact solutions on the interval 0 ≤ 0 < 360°. If there is more than one answer, enter them…

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Q: Find the area of the region bounded by the given curve: r = 7eº on the interval 4 -π ≤ 0 < 2π.

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Q: Problem 2. (Fundamental Theorem of Line Integrals) Suppose that the curve c connects the point (0,…

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Q: Given 6xy= 2 + y³ ,  a) Find the coordinates of a point on the curve at which the line tangent to…

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Q: X 5.8 6.0 -0.9 6.2 f1 (x) Selected values of the derivative of the function f are given in the table…

A: The given tablex5.86.06.26.4f'(x)-0.93.21.9-1.3

Q: 1 Answer the following questions about the curve: 2x³ - 3y² = 16 a) Find dy/dx. b) Find d²y/dx². c)…

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Q: Consider the following function. T 3 π f(x)=sinx, a ==, n=4, 0≤x≤: 6 a) Approximate f(x) by a Taylor…

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Q: Find all points (x,y) on the graph of f(x) = 2x2-3x with tangent lines parallel to the line y = 5x…

A: We have given function the tangent line is parallel to y = 5x + 4.Hence, the slope of the tangent =…

Q: was $525, how much mo 10. Nick, an attorney, divided his $15,000 bonus check among three different…

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Q: lim n→∞ (1 + 1/2 ) ² = 2n

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Q: Starting with an initial value of P(0) = 50, the population of a prairie dog community grows at a…

A: The growth rate of population of prairie dog community is P(0)=50

Q: Solve the following problem and show your complete solutions. 1. Find the area bounded by x = y²; x…

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Q: Given the function f(x)=x-7, find the net signed area between f(x) and the x-axis over the interval…

A: Given that the function y=x-7 we have to find the area of the region [-1,9]

Q: Find the derivative of the function. (37) 2 S = sin 3nt 2 - COS

A: Given,

Q: d) Write an expression that represents the approximate value of g(x) for a generic value x in the…

A: The graph of the function g'(x) is shown as,

Q: Find the indefinite integral. [(e² + +6) dx = +C

A: We have to find the integration of

Q: Find the domain of f(x). ƒ(x) = √6x + 6

A: Given that a function of f(x) and we find the domain of the f(x).

Q: Is the series ∑(1/(n + (1/n))), from n = 1 to infinity, comparable to the series ∑(1/(2n)) using…

A: Solution is following in explanation step.

Q: 1. Decide whether each of the following sentences is valid, satisfiable or unsatisfiable: a) Smoke…

A: Here given a different sentences.The objective is to check that the given sentences are valid,…

Q: 8. Find the local maximum and minimum values and saddle point(s) of the function ● • f(x, y) =…

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

Q: Find the radius R of convergence for the series R = n=1 2x+1 87+1 n8

A: The given power series .The aim is to find the radius of convergence of the power series.

Q: Please answer the following: Thanks Given 6xy= 2 + y² , a) Find the coordinates of a point…

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Q: tinues to grow for a while, but then stops growing and begins to decline. The +124t-12312. Find the…

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Q: Stoite the Fundamental Theorem of Calculus?

A: we need to write down the fundamental theorem of calculus.

Q: Find y' 4x-5 y= 2x+3

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Q: Use trigonometric identities to solve the equation in the interval [0, 2). 2 cos ²0-sin 0-1=0

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Q: Express in terms of logarithms without exponents. log(x³y4z)

A: Let,C=

Q: Find all exact solutions on the interval 0 <0 < 27. If there is more than one answer, enter them as…

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Q: 2. For the function g whose graph is shown, state the following. (b) lim g(x)= x-0 (a) lim g(x)=…

A: The graph of the function is given.The aim is to find the e)The equation of the vertical asymptotes.

Q: Find a, b, c, and d such that the curve ?=??3+??2+??+? has its tangent line at(1, 1) and at (0, -2)…

A: The objective of this question is to find the coefficients a, b, c, and d of the cubic function y =…

Q: Evaluate the indefinite integral as a power series. fin(1+x²) dx

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Q: 2 x² e ³+1 dx

A: We do only first part of multiple questions.please re-post other parts.

Q: Find the area of the region between the curve and the x-axis. f(x) = 16-x², from - 7 to 7

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Q: Suppose that the variables x and y are related by the implicit equation X V = -3.3x 1.8 ln(x)+2.8y—…

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Q: Find the area of the region enclosed by the curves between their intersections. y=x² and y= 2x

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