2) y = ex + e¯X, 0 ≤ x ≤ ln 2; x-axis 2

Q: What is the difference between net area and total area from the curve to the x axis? What is the…

A: answer is in next step. please give a like!!

Q: Find or evaluate the Integral by completing the square. (Use C for the constant of Integration.) 10x…

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Q: Use linear approximation, i.e. the tangent line, to approximate √25.4 as follows: Let f(x)=√. Find…

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Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

A: 1

Q: 20. Verify by differentiation that finx dx = x(In x-1) + C, then use appropriate changes of…

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Q: K Graph the curve whose parametric equations are given and show its orientation. Find the…

A: Solution is here

Q: dy dx ey- 1 y ex y(0) = 2

A: Topic:-  application of integration

Q: Write an equation for the hyperbola shown in the graph. -11 744 SFE -11- The equation for the…

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Q: A farmer wants to fence a rectangular area of 242 square feet next to a river. Find the length and…

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Q: Consider the function f(x) = 2x² - 6x +7, 0≤ x ≤7. The absolute maximum of f(x) (on the given…

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Q: Example: find the complex Fourier expansion of the periodic function shown below f(x) = cosx…

A: Basic definite integration is done

Q: dx (a²+x²)z 1. S- 3

A: We can a valve the given integral by using the substitution x= a tanθ.

Q: 10. y' + y cotx = 5e cos x, when x ANSWER KEY: 10. y sin x + 5e cos x TT ‚ y = −4 = 1

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Q: 11. Sketch the graph of the following function. f(x)= x³6x² - 9x [1]x- and y-intercepts

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Q: In marketing, the _____ represents the point where products neither make a profit nor incur a loss.…

A: Given question In marketing, the _____ represents the point where products neither make a profit nor…

Q: Problem 3. Match the functions with their graphs. 1. f(x) = cos(x) 2. f(x) = sin(x) 3. f(x) =tan(x)…

A: To match the given functions with the given graphs.

Q: Which Law states that the quantity demanded will increase as the price of the product decreases? Law…

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Q: Let f be the function given by f(x) = 4x¹. What is the approximation for f(1.15) found by using the…

A: The answer is given below:

Q: Find the arc length of the following curve on the given interval. x=8t-2, y = 15t-3, 0≤t≤2 The…

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Q: Solve for general solution of this Homogenous DE .(show complete solution) xydx - (x^2+3y^2)dy =0…

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Q: The function f(x)= x3³ - 11x² + 20x + 22 is graphed below. Plot a line segmen connecting the points…

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Q: 3. Determine whether or not the series converges. Justify your conclusion. 86 Σ n=1 n² - 2n n³ + 3n+…

A: Solution is given below:

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

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Q: K Analyze this conic section to answer the questions below. ²-6x-4y-11=0 UA. (Type an ordered pair.)…

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Q: Using polar coordinates, evaluate the integral Se sin(x² + y²)dA where R is the region 4 ≤ x² + y² ≤…

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Q: x² + y² Evaluate the double integral (3x - y) dA, where R is the region in the first quadrant…

A: Calculation of above requirement are as follows

Q: Find the average value of f(x, y) = x² y over the rectangle R with vertices (−3, 0), (−3, 8), (2,…

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Q: 19. f(x)=x²-5

A: Topic = Functions As per guidelines , At a time only one question can be answered out of different…

Q: Use the Comparison Test to determine whether the series converges. ∞ Σ k=1 1 3 7k³ +7 The Comparison…

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Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

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Q: Find the volume of the solid that results by revolving the region enclosed by the curves y=4-2x²,…

A: Given problem:- Find the volume of the solid that results by revolving the region enclosed by the…

Q: Using polar coordinates, evaluate the integral // sin(x² + y²)dA where R is the region 4 ≤ x² + y² ≤…

A: Concept: Dual integrals in polar space: An iterated integral in polar coordinates can be used to…

Q: 4. State the domain and range of the inverse of the following function y=2√x+1,

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Q: x-4 x→4x²-x-12 Without using L'Hopital's Rule, evalute the limit: lim- Attach File Browse Local…

A: limx→ 4x-4x2-x-12By L'Hopital rule,=limx→ 412x-1Plug in the value x=4=12(4)-1=17

Q: Find the derivative. S² 5x 39) y = At dt

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Q: 18. Find each indefinite integral by using appropriate substitution. cosx − xsinxdx XCOSX fco

A: Topic = Integration

Q: Water is leaking out of an inverted conical tank at a rate of 14000 cubic centimeters per min at the…

A: Given that, the leakage rate is 14000 cubic centimeter, the height of the tank is 12 meters and…

Q: What is the correct equation for the following scenario? Alex wants to figure out how much money…

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Q: es and state values of 0 that produce the entire graph s the entire graph of the parabola?

A: We have to convert in polar form from the given Cartesian curve (parabola)

Q: The graph of g' is given below: W Notice this is the graph of the derivative of g not the graph of g…

A: We have to find the value of x where graph positive, negative, zero or undefined

Q: Evaluate the Integral using the following values. [x³ dx = 260, [°x dx = 10, [° dx = 2 L 122-…

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Q: Find the limit of the following sequence or determine that the sequence diverges. {(₁-²2)"} Select…

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Q: h(x) = f(x)+c h(x) = f(x)-c h(x) = -f(x) TRANSFORMATION OF FUNCTIONS Vertical shift c units up…

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Q: III. Eliminate the AC 8. до Gex + сче-х + Сухе аех Cex ·X

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Q: 3. [√1+√zdz

A: Given:             ∫1+zdz  Apply u-substitution             u=z+1→dudz=12zdz=2zdu       =2∫u23-udu…

Q: estimate the area under the graph f(x)=2x2+1   from x=0 to x=2 use four rectangle and the right…

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

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Q: 44. f(x) f(x) == // 4-x x²-16 47. f(x)=- +² x²-4 45. f(x)=- x-1 x²+x-2 48. f(x)=- 2+x x²(1-x) 46.…

A: To find the vertical asymptotes of the given functions.

Q: b

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Q: Evaluate the integral. esin−1 3x √1-9x² 32) dx

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