1. 2²₂(3x-4)dx

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Find the root of f(x)=(x^2)-5, in interval [0,4] by using bisection method.

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Q: Function Point h(t) = sin t + ¹et (π, ¹¹) (a) Find an equation of the tangent line to the graph of…

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Q: 4. h(x, y) = xe +y+1

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

Q: 80 80 (20) If the graph of the function f(x) is stretched vertically by a factor 2 and then…

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Q: Q4: (A) particle moves in a straight line with an acceleration a(t) = (2t + 3)-3 m/sec² If the…

A: Let's find velocity 2 Second after the start of the movement.

Q: find the given general differential solution

A: Let, y= emx is a…

Q: Find the arc length of the curve x = -2y³/2 from y = 0 to y = 10. Length =

A: Solve the following

Q: Find the first derivative of f = (h+2)² (2h+1) h²+3 V using logarithmic differentiation

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Q: Q3 find 1)angle between two vector. 2)projection of vector A&B. A = 2i + 2j - K B = 4i-6j + 4k

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Q: Let D be the region in the first octant enclosed by the two spheres x² + y² + z² = 4 and x² + y² +…

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Q: -2, if x < -1 f(x) = (x + 1, if x ≥ −1

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Q: 4. f(x, y) = 5xy - 7x² - y² + 3x − 6y + 2 5. f(x, y) = (xy − 1)² 6. f(x, y) = (2x - 3y)³

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Q: 1. f(x) da converges, then If f(x) ≤ g(x) for all z in [a, +∞o) and converges. g(x) dx also

A: Given

Q: Find the arc length of the curve x = Length = -2y³/2 from y = 0 to y = 10.

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Q: Find the slope of the normal line to curve x=4sint, π y=cos2t when t=-

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Q: Identify the surfaces of equations in the Cartesian form. Show your complete solutions. (a) 2² = 4 +…

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Q: Q14) [2x (1+x²) x-(1-x²) (1+x²) +CB)- 10 (1+x¹) (1+x²) (1+x²)" (1+x²)" 11 +00) +CD) 11 10 12 1.1…

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Q: ✓1 - cos e de

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Q: Find an antiderivative F(x) of the function f(x) = 5 sin(x) such that F = 3. F(x) Now, find a…

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Q: First find the equation of a plane through the point (4, 2, 1) with normal vector = 3i - 2j+ 4k.…

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Q: Match the function with its graph. y = tan tan

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Q: 3 *+ 3 2- 1 نها 1 2 3 To find the blue shaded area above, we would calculate: [ f(x) de f(x) dx =…

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Q: Q17) The slope of the tangent line of the curve x² + y²=5 at the point (1,-2)- A) √√4x-4-√√5x-1 x-3…

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Q: Find the slope of the normal line to curve x=4sint, y=cos2t when t=

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Q: Evaluate the following integral: * *π/2 [sin² 6 1/42 4 O - (2/63) O - (3/28) O 2/63 sin x cos³ x

A: The objective of the question is evaluate the definite integral and choose the correct option.

Q: Instructions 1. Write your complete solution for each item. It should be handwritten. 2. Make sure…

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Q: Approximate using differential √627( answer in fractional form)

A: Let y=f(x)=x4where x=625 &amp; ∆x=2

Q: (B) let y = 3sin5x - 2cos5x show that ax y + 25y = 0

A: Given :y=3sin5x-2cos5x

Q: How can Venn diagrams help us classify shapes by their mathematical attributes

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Q: 1.₁-1/dt 2. -1 -2es-1ds

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Q: DETERMINE WHETHER THE GIVEN FUNCTION n(x) IS CONTINUOUS OR DISCONTINUOUS AT x = 2 3x² +4 n(x) = if x…

A: For function to be continuous at any point, limiting value of function at that point must be equal…

Q: Find a polynomial function of degree 5 with -2 as a zero of multiplicity 3, 0 as a zero of…

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Q: 3-Given the points A(4, 7, -2) and B(-2, 1, 6): a) Find AB and express AB in terms of i, j,K.?(..

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Q: Set up the triple integral that will give the following: (b) the volume of the solid B that lies…

A: Let's find volume of solid.

Q: Find an antiderivative F(x) of the function f(x) = 5 sin(x) such that F F(7) 2 F(x): Now, find a…

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Q: A rectangular field as shown is to be bounded by a fence. If fencing is not needed along the river…

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Q: exact method: (3xy3 + 4y)dx + (3x2y2 + 2x)dy = 0

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Q: - 3)² = 81 then, find its ce or a=<3, -1

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Q: Determine the graph of the equation a² + y² + 2² - 6x + 2y - 4z + 19 = 0. O Sphere O Point O Empty…

A: Given :x2+y2+z2-6x+2y-4z+19=0

Q: Use Newton's binomial theorem to calculate √50 with 4 terms.

A: You have submitted multiple questions. According to Bartleby guidelines, I'll solve the first…

Q: 0 - [1 4 Find the determinant of A = = 1 2 03 -3 8 - using a cofactor expansion.

A: We have to find out determinants

Q: 5. A function u(x, y) is defined by u2³-3xy². (a) Show that u is harmonic, i.e. it satisfies…

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Q: Use false position method find the diameter (D) of the pipe which satisfies the follow ation:…

A: answer is in next step

Q: The director of the school play has to assign 5 lead roles. If the roles are being chosen from a…

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Q: Solve the following integrals. 3.) S fafy dxdy y²-x²

A: On solving this we will get

Q: The function A(x) = 0.001x³ -0.02x² +0.12x+0.03 approximates the blood alcohol concentration in a…

A: This question can be solved using the concept of increasing and decreasing function.

Q: An oil storage tank can be described as the volume generated by revolving the area bounded by 4 Y =…

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Q: Use Taylor's Theorem to find an interval [ z, z] where the Maclaurin polynomial p2(x) = 1- 2 1…

A: Given problem  is :

Q: Find the tangential and normal components of the acceleration vector. r(t) = 4(3tt³)i + 12t²j at X…

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