19. x'dx √√5x² +4 -S

Q: 12 [ sin* ‡nxdx

A: We can find the answer as below

Q: 4. f sin3x sin2xdx =

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Q: 5. In another state, license plates are formed using 6 symbols, any of which can be a number of a…

A: We know, There are 26 letters A, B, C, . . . , Z and 10 numbers 0, 1 , 2 , . . ., 9.Therefore we…

Q: 2. Let f(x) = 3 cos 2x + sinx. a) b) Show that f'(x) = -5 sin 2x. π 3π In the interval <x< one…

A: We need to find derivative and normal.

Q: y= (4x² + 2) (4x3³ - x)

A: Here we have to evaluate y=4x2+24x3-x

Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 1/4 3/8

A: We have given  ∫x sinx cosx =fx sin2x-gx cos2x+C Let,  I=∫x sinx cosx dx I=∫x sin2x2dx I=12∫x sin2x…

Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: We need to setup integral.

Q: A ream of 500 pieces of 8½ inch by Il inch copy paper has a volume of 280/2 inches³. What is the…

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Q: [³ sin√xcos√x √x 0 A) None Зл B 256 Зл C 512 3 D 256 3 E 512 - dx is equal to

A: Given, ∫0π24sinxcosxxdx

Q: Find the volume of the solid generated by revolving the area bounded by y = Inx; y = 0 and x = 4…

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Q: 3. 2 [sin 4 3x cos² 3xdx

A: 3. To evaluate the ∫sin43x cos23x dxFormula: (1) cos2x=1-sin2x(2) ∫sinn xdx=-1n sinn-1x cos x+n-1n…

Q: DETAILS LARPCALCLIM4HS 5.3.063. Solve the equation. (Enter your answers as a comma-separated list.…

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Q: 10. 3 J√cos z sin ³ zdz COS

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Q: QUESTION 1 Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?…

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Q: (e) x = = 2y², x = 4 + y² - (f) x = 1 — y², x = y² – 1 32 Answers (a), (b), (c) In 2-1, (d), (e)…

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Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

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Q: Find 36 zdV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,6,0), and (0,0,2) E

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Q: Sanna and Obadia argued about the definition of L e-x 1 dx - Sanna split the integral as -X e [54 dx…

A: We need to explain integral split.

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A: Given :Region bounded by x2=4y and y2=4xRevolving about y=4

Q: y=(-4x²-5x²) (7x - 2)

A:

Q: 3x5 Evaluate 3x4+6x3-3x2 - 6x ^ x² = 4x + 1 [ (x-1) 1/6 (x + 2) 16/3] + A In +C 2 1/2 16/3 B -2x-In…

A: Given that       ∫3x53x4+6x3-3x2-6xdx  We can re-structure this integral as…

Q: 6. dx 13+4x- ?ܢ

A: A detailed solution is given below.

Q: 1. Solid S is bounded by the ff. surfaces. Sketch S and label its boundaries. y = √√√√x² + z², y =…

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Q: By method of Integration by Partial Fractions, A + C (1³+ 5x²+6) dx = √2-24 +5 + 8(2x=22)52]dx…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

A: We have to calculate the area of the smaller region bounded by x+52=2y from left sides,and bounded…

Q: Q1/A) Replace the polar equation by equivalent Cartesian equation r2cose +2sing

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Solve the IVP. y" + 2y + 5y = 3 sin 2x y(0) = 1, y'(0) = 0

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Q: Question 1 1 Define Q as the region bounded by the function f(x) = x and the line x in the first…

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Q: Evaluate the following integrals / limit/s: 1. S√16-x²dx dz S. 2. √x²+2x

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)2=2y, the…

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Q: If z = x² dz = Az = - ·xy + 4y² and (x, y) changes from (1, −1) to (0.96, −0.95), compare the values…

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Q: Find the equations of the tangent line to the ellipse x² + 4y² + z² = 9, x = 2 at the point (2, -…

A: equation of tangent is : z-z0 = m (y-y0)

Q: Q3.If f(x,y)=sin(x-3y) + sin(x1 find: af 2x and af dy

A: We can find partial derivative with respect to 'x' and 'y' .

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: Consider √₁ S x-m+ A 14/3 B 17/6 3x5 3x4+6x3-3x² - 6x A B C + + x-1 x+1 x+m Ⓒ5 -dx. Using the method…

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Q: Find the cross product a x b. a = (7, 6, -5), b = (2, -1, 1) Verify that it is orthogonal to both a…

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Q: Evaluate 1 m+3 1 m+ 1 I M+2 T }}}+1 tan" (x) sec¹x dx I -tan (m + 3) (x) + m+1 1 -tan (m + 1)(x) +…

A: SOLUTION-

Q: 7 -2 -1 4 3 2 -3 10. From the above graph of y = f(x), find 7 -2- ↑ 3 4 2 I 1 I-value(s) at which f…

A: From the given graph it is clear that At point x=-4     y=f(x) is not differentiable because at…

Q: Given that f is a differentiable function with f(3, 4) = 8, fx(3, 4) = 1, and f,(3, 4) = −1, use a…

A: We have to find the value of function by linear approximation.

Q: Determine the volume of the solid obtained by rotating the region bounded by y= x^2 and y=x about…

A: As per Bartleby guidelines rule I am answering only first question as other question is not a…

Q: Read, analyze and solve for the following. Express your answers as decimals rounded off to two…

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Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: We need to find area.

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

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Q: y = x² – 3x; y + x = 0 about the x-axis

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Q: Differentiate: y(x) along the curve xy =ex Show all working out.

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Q: A 38. Which of the following equations is the correct representation of the perimeter (P) of the…

A: Given:  38) Norman Window:

Q: ·S. The integral of sect S S x dx x²+√√√x². sece tane de sece - 1 sec²0 do 1+tano cose de 1-sine…

A: Given Problem:-

Q: f(x)= (7x¹-5x-2)

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Q: What is the value of f(1) - 16B in fx³ Inx dx = f(x) ((1/4) Inx-B) + C? (A) 2 B 3 C 0 D 1

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Q: 1. Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x.

A: