the Q2, Find hergth of o polor Curve ア= B4 Use this formula dr de

Q: f(x) = -x^2 + x + 20 and g(x) = x^2 - 5x . Compute the area of the region enclosed  by the graphs of…

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Q: Q. 1) The table below gives the readings from a laboratory experiment. Time (t) |3 5 6 Reading (y) |…

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Q: 4 ds = 1 2.

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and Edit 10x – 5y – 5z – 26 = 0. -

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Q: The location of a point on the Cartesian coordinate system (x,y,z) is (4,5,6). Using the location in…

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Q: I. Evaluate the following integrals. cln 2 e2" sec-'(e*)dx Jo #3.

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Q: The task is to evaluate the function using reversed order of integration. •1 eee-x dx dy 1 Jlny

A: Change of order.

Q: If uxv=uxw, u÷0 then O None of the choices O v=w+ ku O u=v+ kw Ow=u+ kv

A: u x v = u x w v = w but u is any other value so  v = w + ku

Q: Based on figure below, we get some information: Which of the following statements are true? Gambar…

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Q: -+inf In(tan¯1x) 1+x2 1

A: ∫1∞ln(arctan(x)1+x2dxSubstiute u=arctan(x)→dudx=11+x2→dx=(x2+1)du=∫ln(u)duIntegrate by parts…

Q: Consider the function f(x, y): 5xy 2x2 + y? (a) State the domain of f(x, y). (b) Find the limit 5xy…

A: f(x, y)=5xy2x2+y2A)Domain f(x, y)The function is defined everywhere.Domain: (x, y) ∈ (R×R)

Q: If substitution technique is used to solve the integral |(12x+3x*)(10x² +x° – 2)´ dx then the -…

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Q: The task is to determine and sketch the domain of the function In (b – a? + 4) g(a, b) = V36 — 4а2 —…

A: We have to determine and sketch the domain of the function.

Q: Convert dzdydx Into an integral of cylindrical coordinates 45 hardzdrde Option 1 Option 2 Option 3…

A: To convert the given integral into cylindrical coordinates.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: I am attaching image so that you understand each and every step.

Q: Q: Evaluate the following integrals: (10 dt, 10x dt 1. 5t re dx 2. J0 x(Inx)?

A: Question 1,Given,           ∫510dtt+∫5x10xdtt

Q: 1. Identify the indeterminate form and evaluate lim (sin x)tanx x-

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Q: VIII. Use the 3rd Degree Maclaurin polynomial for g(x) = x COS to approximate the value of 0.2…

A: By using the 3rd Degree Maclaurin  polynomial for gx=x cosx2 to approximate the value of 0.2 cos0.1.

Q: Suppose f is continuous on the interval (0,3). Assume further that f(0) = -2 and f(3) = 5. Also, lim…

A: We can solve this as follows:

Q: Given a series tan '(n) 1+n? n=1 a. Show that given series satisfies the conditions for integral…

A: Given a series ∑n=1∞tan-1n1+n2a To show that the given series satisfies the conditions for integral…

Q: Consider h(x)= {3x^2 +1, if x3. What is h'(3)?

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Q: Evaluate the integral cos x 1- sin z dx .

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Q: Determine whether the following series is convergent divergent. or (-1)"3n² 4n2–1 n=1

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Q: What is the value of the slope of the tangent line to the graph of y at the point (-1, -) O 1/2…

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Q: Evaluate the following sum of iterated double integrals: -2у 2 •4–2y dr dy + | dx dy 0.

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Q: y = (cos COS T 4x5

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Q: Solve the following equation: 16ª = 8ª+1 O 3 O-3 O 1

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Q: x² - 25 The antiderivative of - dx is x2 -25 - sec-lx+ C. A True (B False

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Q: n(x – 2)" 3" (2n – 1)3 - Consider the power series n=1 a. Show that the power series converges when…

A: We have to check the given series is convergent for x=5

Q: 2y 7. 3. Evaluate ST (r+y)dx dy. 32 A) 3 64 C) 3 16 B) 32 D) 3

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Q: y = [Arcsec(tan r)]ecsc 2r SC

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Q: 570 8. The demand function of an electronics company’s car stereo is p(x) = . Find the 2x+7 consumer…

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Q: 1 If the integral A = S -dx is changed using substitution t = tan then A = ... sin x-cos x 1 Jika t…

A: A =∫ 1dx/(sinx - cosx) substitute  t = tan(x/2) differentiate with x dt/dx =(sec2(x/2))/2 dx =…

Q: Q3) Evaluate triple integral SN S dz dx dy . x-y

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Q: State difference between Roll's Theorem and Lagrange's Mean value theorem.Is the Roll's theorem true…

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Q: Find the complete solution of the differential equation using separation of variables 2х + 2ху* y +…

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Q: 2. Use integration by parts to evaluate the following. (a) Sxtan-1x dx

A: ∫x tan-1x dxusing integration by parts∫u.v = u∫v - ∫u'∫vu =tan-1x , v= x∫tan-1x . x dx=tan-1x∫x dx -…

Q: Q2) Solve the D.E xdy + (2y-x* + 3x)dx D %3D

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Q: The projection of the vector 21+3ị – 2k on the vector i-2j+3k is 2 14 V14 1 V14 O None of the…

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Q: Osyt . yrosx

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Q: xsin(x³) dxdy

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Q: Find the original function f(x) from given equation f'''(x)

A: We can solve this as follows:

Q: Given: Em 00 tanm tan m+1) q. Find the Sum of this Convergent series.

A: Given that ∑m=1∞1tan-1m-1tan-1m+1Solution…

Q: Use tabular method to evaluate ƒ –2x³e¬5×dx

A: Solution is given below:

Q: TOPIC/S: Trigonometric Integrals Evaluate: x? 1. dx (x2-25)2

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: eries > 22n (2x – 1)". In? +1 n=1 adius and interval of convergence of the power series. argest…

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Q: Use tabular method to evaluate ſ –2x³e¬5* dx -5x 1.

A: Let's find.

Q: b) (-1)"3n² 4n²–1 n=1

A: We will use root test.

Q: Solve for the general solution of the following differential equation and determine whether it is…

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