Compute the left and right Riemann sums L4 and R4, respectively for f(x) = √4x² on [-2, 2] and compare their values.

Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

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Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

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Q: Given x = y²+2y 8 - In(y + 1), find the arc length for 0 ≤ y ≤ 2.

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Q: Given x - ³²+2y — In(y + 1), find the arc length for 0 ≤ y ≤4 8

A: The arc length of the curve x=f(y) for a≤y≤b is given by ∫ab1+dxdy2 dy

Q: Solve the differential equation a. (4x³y² - 6x³y - 2x - 3)dx + (2x¹y-2x³)dy=0 b. (x-4y-3)…

A: If the differential equation Mdx +Ndy =0 is exact i.e, ∂M∂y=∂N∂x ,then solution is        ∫y…

Q: eading due north at 500 km/h. If it encounters a wind from the northeast at 1 sultant velocity…

A: We will solve the problem.

Q: Find the set of symmetric and parametric equations of the line passing through the point P(3, 4, 1)…

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Q: . Expand the binomial (2x - 1)*.

A: Binomial theorem

Q: Find the volume of the solid generated by the region bounded by x² + y = 6, y = x, y = -2 and x = -2…

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Q: & 38. Evaluate: √x dx A. x4/3 + C 3 4 C. ³x5/3+C B. x³/4 + C D.x3/5 + C 39. Evaluate: fx(4x - 3)dx…

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Q: What integration technique can be used to integrate: O Integration Formulas O Trigonometric…

A: Use integration by parts and substitution method.

Q: Question

A: Please refer to the image below

Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = 9y - y² and y =…

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Q: Ja cos³ 0 sin 20 de

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Q: Consider the vector-valued function 4t-8 [{m(3. In(3-t), 5,31²-8 8 R(t) 4-1² (0, -1,4), 1. Find the…

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Q: Determine the center-radius Form of the equation of the sphere whose- diameter has endpoints at (2,…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: cos 3x cos 4x dx

A: ∫cos3xcos4xdx here we use formula  2cosxcosy = cos(x+y) +cos(x-y) here x = 4x      y = 3x

Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1) b) has…

A: vector equation of line

Q: 2. Evaluate 3 dx -) S (x+5)(2-3)dx, (b), (c)²-22²-da, J ■) x³ −2x² −4 −1+ int: (c) 1 + ² + ²/1/2 x³…

A: Topic:- application of integration

Q: Please answer both

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Q: 3 N -3 -2 -1 1 2 3 1 . For the above function f(x) = 2 1.2, estimate f'(x) using h = 0.001 for the…

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Q: he variable in each equation using a method of your choice. 93x+4 = 27-x+6

A: Given problem:- The variable in each equation using a method of your choice.   93x+4 = 27-x+6

Q: 5. Suppose f is continuous on [2, 8]. Use the table of values of f to f(x) dx using a left, right,…

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Q: ind g'(3) given that f(3) = -1 and f'(3) = 5. (a) g(x) = 2r³-7xf(x)

A: Topic:- application of derivatives

Q: Evaluate the following integrals. -1 L₁ (3²- (3x² - 4x−¹+2) dx

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Q: Find an equation of the tangent line to the given curve at the specified point. = (1, e) X y =

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Q: Vectors: given vectors u =(-3,-1,4) and v = (-2,3,2) Find 2u - v Is u more than 20% shorter than v?…

A: As per bertleby guidelines we have to solve first three parts, then for others resubmits the…

Q: Given x = y²+2y 8 -In(y + 1), find the arc length for 0 ≤ y ≤3

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Q: A payment of $2,690 was due two years ago, and a payment of $1,650 is due today. What single payment…

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Q: Prove Formulas (1) - (9) Differentiate y = √3x². - 1 √5x = = (3x²)¹/³ – (5x)−¹/2

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Q: 26 Find the value of k so that line 4, 2]-[2-20]++ [2, k₁-3) is parallel to the Plane *x+24-42=12

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Q: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

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Q: In x Compute -dx. 3√√/x 9 X 3 A²x²0 nx-x²²+ C A.- In 2/3 2 4 1 B.- - +C X 3 4/3 4 3 C.--(In x)x-4/3…

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Q: 3. z = x+y x-y

A: The given function is  z=(x+y)/(x-y).

Q: f/² sin() cos() sin() dx (Consider initially the first 2 terms)

A: We have to find the integral.

Q: Given the function f(x) = = Find the difference quotient Find f'(x) by determining lim f(x +h)-f(x)…

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Q: Advar Ex: If w = f(x,y,z), x=x(r,0), y =y(r, 0), z = z(r, 0), find wr, we? дw dz aw ax дw ду aw

A: We will use chain rule to solve this question.

Q: 7) x¹ 9-x ² dx X 3 2 2 where u-x ² dv = x √ 9-x² dx 2

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Q: · ƒ³3(x + 1)(x + 2)²(x² −1)dx with and without the even-odd theorems (show both solutions).

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Q: What are the domain and range of f(x)= In x? A. The domain and range are both all positive real…

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Q: Given the vector function r(t) = (+1, 1-2t², 8t-4), find the are length of this curve on the…

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Q: Suppose a population of fruit flies changes at a rate of g(t) = -4e0.041, in flies per day. If the…

A: Topic:- application of integration

Q: "+9y' + 18y = 0

A: Topic:- application of derivatives

Q: Suppose g(z) zn 2nn n=1 Σ Solve for the value of the integral 1 2-₁ / e²g² (2) dz 2πi |2|=1 using…

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Q: Find a particular solution of =(x−1)² if y=-21 when x=-3. dx

A: dydx  = ( x - 1 )2   , y = -21, x = -3 we have to find particular solution of it

Q: N|- x² Given: quadric surface S with equation (y - 3)2 - 2 (a) Determine and identify the traces of…

A: Quadratic surface S with equation y-32-x22-z22=1

Q: 7. xdy = (5y + x + 1)dx Ans: y = -x-+cx5

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Q: Determine whether each of the ff.differential equation is separable or not,if it is…

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Q: 4. Determine the number of terms in the sequence: -45, -32, -19, -6, 410 ***

A: There are 36 terms  in the sequence.

Q: An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to -1. Calculate the…

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