dr 4+x² S Choices: tan ¹(x + 2) + C 1 In x² + 4 +C In x + 2+ C 1 tan 2 1 ¹ 1/2 + +C

Q: 1 cot³ x dx =

A: To solve the given integral.

Q: Differentiate y = √x + √z 01 O 2√x+1 A+ 2√x + 2√x O 2√x + √x

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Q: Use the Divergence Theorem to evaluate F. ÑdS where F(x, y, z)=x²i +2y²j+z²k S and the surface S is…

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

A: The graph will be  Option (B)

Q: 1-y 2 Consider the plane π : x - 2y + 3z − 1 = 0 and the line 1: x= 1. Find the point of…

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Q: Find the breakeven point of the following functions: C(x)= 4x +4 R(x) = 6x Approximately (2, 12)…

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Q: 3. S (5x-12)dx x3-6x²+8x

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Q: 3. Find the domain of f(x) = 1- 1 X X

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Q: Find the equation of the sphere in standard form that satisfies the given conditions. diameter PQ,…

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Q: D O O O 59 2 04 Question 16 Evaluate lim N-00 12 01 3|2 • Σ [()* - (-)] ++ N by using it as a…

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Q: 2. Sketch the solution region of 2x - y - 1>0 (x - 5)² + (y + 1)² ≤ 25.

A: The given inequalities, 2x-y-1>0(x-5)2+(y+1)2≤25

Q: 5.5x³(a²-x²) ²/dx

A: The given problem is solved below in detail.

Q: d) lim (xe”* +1)/ x->0*

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Q: [2 2x log 2x dx

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Q: Solve the following differential equations by using appropriate method or substitutions. 1) y' -…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Differentiate y = (2x³ + 3x² - 1)5 5(6x² +6x)4 30x(x+1)(2x³ + 3x² - 1)4 30x(x + 1)(2x³ + 3x²-1) O…

A: The given function y=2x3+3x2-15 we have to find the derivative of the function

Q: 1 cos³x -dx =

A: The given integral is 1/Cos3x.

Q: e Green's Theorem to evaluate [(-y²)dx + (x²)dy if the curve C is a triangle with rtices at (0,0),…

A: Top:- application of integration

Q: Exams compri Question 6 a) Find parametric equations of an ellipse centered at the origin with major…

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Q: • 25 Which of the following graphs represents (+2 30 la T 7 17 T 49 19 15 O . 7 17 T 19 19 15 19 19…

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Q: Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the…

A: The objective is to solve the above question.

Q: Evaluate the following indefinite integral. 1 √ 3 ² + 8 - t dt =

A: Given.

Q: If what does the following integral equal? - 14 73 [6f(x) + 3g(x) - h(x)]dx = - 14 f(x) dx = 11 and…

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Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: 4 3 1…

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Q: Write 0.12 as a fraction. Use the concepts in section 10.3

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Q: Find the volume V of the solid of revolution that results when the region under the graph of f(x) =…

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Q: I. Find the solution set of the following. 4. cos ¹(2x) + sin¯¹ √√1 − 4x² = π

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Q: (a)Show that F is a conservative vector field. f(x,y,z) = (b)Find a potential function for F.

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

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Q: Type the left side of the equation of the ellipse. Which graph shown below is the graph of the…

A: Topic:- geometry

Q: Find the transfer function, G(s)=C(s)/R(s), corresponding to the differential equation, d³c d3 +3.…

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Q: y = √√x S 0 10 5t cos (¹0) de dt

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Q: Write an equation for the ellipse. Type the left side of the equation in the box below. (x-3)² (+1)²…

A: solution is given below

Q: Proor: Let † and g be one-to-one functions. a) Prove that (a) fog is one-to-one b) Prove that (b) (ƒ…

A: We will prove this using the concept of one to on

Q: The average value, f, of a function, f, at points of the space region is defined as f=¹ f dv, Ω…

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Q: Find the volume of the solid generated by revolving the shaded region about the given axis.

A: We need to find volume.

Q: tan Find the integration of 1₁ 1+z²

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Q: 8) About the y-axis (0, 2) л y = 2sin (x) ;0< x≤ π X X

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Q: The graph of a function f is given. Use the graph to estimate the following. y W 2 3 (a) All the…

A: We have to find minima maxima and intervals where function is decreasing and increasing.

Q: 3. The difference quotient is defined by 7(x+h)-f(x). Find and simplify the difference quotient if…

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Q: Which of the following shows the expansion of 2-5n? n-0 O(-18) + (-13) + (−8) + (−3) + 0 O(-3) +…

A: To find the expansion of the given expression, substitute n=0,1,2,3,4 in the given expression.

Q: H.w: Find the Fourier series for the following functions: 1- f(x) = 1+ 1- - 2x x 2x x -π < x < 0 0 <…

A: Fourier series of f(x) in the interval [a, b] is  f(x)=a02+∑n=1∞anCos2nπxb-a+∑n=1∞bnsin2nπxb-a where…

Q: 1. y'= exp (2x - y). ANS. 2e" = e²2x + c.

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

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Q: market

A: At market equilibrium, Demand= Supply , Supply: y = -0.05x +3.7 Demand: y = 0.02x + 2.3

Q: What is the equation of a line with slope of 2 and a y-intercept of -6? y = -6x + 2 y = 2x - 6 2x…

A: Concept: The equation of a line is found using the slope-intercept form of a straight line. We need…

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 8th partial sum of 10,000-2,000+400-80+7 Round your answer to the thousandths place.…

A: The given sequence is: 10000-2000+400-80+... To find the 8th partial sum.

Q: Assuming the pattern continues, what is S₁2 for the series -8-15-22-29 -...? -565 -85 -510 O-558

A: Option d is correct.

Q: Find the volume of a solid obtained by rotating the region enclosed by the graphs x = 2 - y and x =…

A: The given curves are; x=2-y and x=4-y2 Now find the point of intersection between the given curves.…