Integral 1.

Q: (2х + 3у)dx + (у — х)dy —D 0

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Q: 5. Find two positive numbers whose sum is 10 and the sum of their squares is as small as possible.

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Q: Find an antiderivative of the function. (a) h(q) = sin(q) H(g) = (b) f(x) = 3eX F(x) =

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Q: ntegrate 36(6 5) dr 3. Answer

A: Topic:- integration

Q: dx x2 — 2х — 4

A: I=∫dxx2-2x-4=∫dxx2-2x+1-5=∫dx(x-1)2-52

Q: k! (ii) ek k=1

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Compute the given integral. Jac dx +C

A: Solve the integration

Q: x³ + 6x² + x +2 dx? How many quadratic and distinct factors are in the denominator of x³ +1

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Q: d d Calculate ri(t) · r2(t)] and rı(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Consider the following. 1 f(x) = 2x – 4 x2 y 4 3 y=2 x – 4 2 1 X 8 (a) Write the integral that…

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Q: Integrate

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Q: usider (x. Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

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Q: 2. A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except…

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Q: dx Using Trigonometric Substitution find f(0) 3 (x² + x + 1) 2 4 3 sec? e O 3 sec? e 4 O 3 sec e 4 3…

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the y y = 5 x-x…

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Q: Using integration by parts, which of the following options is true x arcsec x dx ? xdx A. * Arcsec x…

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Q: sec(0) Compute the area A bounded by the line r = 7 e and the rays 0 = 0, and 0 = 4 as an integral…

A: Here, the formula used is: A=12∫abr2dθ

Q: 4. A father is running west at 5 m/hr and his son is running north at 6 m/hr. Both are headed for…

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

Q: Find the area: y = sin x, the x-axis, the y-axis and the vertical line x = 2 *

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Q: 7. Use the Method of Lagrange Multiplier to find the critical points of the function f(x,y, z) = 2x²…

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Q: Using Integration By Parts, x Arcsec 3x dx=uv- -Svdu 了 Find uv- x² Arcsec 3x – 2 dx 2 x²-1 3 x…

A: The given integral is: ∫x sec-1(3x) dx

Q: QUESTION 17 2x³. Consider E* s2x²-x²+x+2 x4 + x³ D dx find A+B+ C+D- dx = x2 X +1 0 5 2. O O O O

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Q: Sx. Svau Using Integration By Parts, x Arcsec 3x dx = u v- Find UV- du O 1 x2 Arcsec 3x 2 dx V9x2 -…

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Q: Using trigonometric substitution, what is dx ? A sec + C 2x2 Vx² – 9 +C sec-1 6x2 none of the…

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Q: Below is the motion of a particle given by the following parametric equations as t varies in the…

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Q: Evaluate the definite integral. V4x + 3dx 0.

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Q: Use differentials to approximate the value of (3.01)2 + 2(0.99) – 3 in four decimal places.

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Q: dx Using trigonometric substitution S = sin(0) + C, express the answer in terms of x. 3 (x²+x+1)7

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Q: 1. Evaluate the following limits. 4x – 7 3x2 – 2r – 5 1 c. lim I-1- |I + ¤|

A: We put the limit .

Q: A stone is dropped from the upper observation deck of a tower, 800 m above the ground. (Assume g =…

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Q: Which interval of 0-values corresponds to the shaded region in the graph of r = f(0) = 2.1 – 0? On…

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Q: Evaluate the definite integral. '5 3 9 Vx2 dx

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Q: The limit of a function is the value it approaches as the value of x approaches a certain value. a.…

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Q: Compute the following values for the given function. f(x, y) = 4x + 2y – 5 f(0, 0) = f(1, 0) = f(0,…

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Q: Find 8²-45+13 2

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Q: x³ + 6x² + x+2 s ax + In[cx + 1}*(x² – x + 1)°| + fx-1 Tan-1. V3 The resulting integral of x³ +1 +…

A: use simple integration formula.

Q: dy Solve for the general solution of the differential equation (ax+by+c)² where a, b, c e R dr and…

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Q: 2x³ – x² + x + 2 y= (: dx%3D C D + x + 1 Consider dx. , find A+B+ C+D. x4 + x3 x3 5 4

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Q: To evaluate dx using trigonometric substitution, which of the following is the new integral form in…

A: Given integral is ∫x2-x2-1 dx.

Q: 3x2 + 7x + 28 A f(x) Using partial fraction, evaluate x3 + x2 + 7x dX, the decomposed fraction is x2…

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Q: Find the area of the surface. the part of the surface z = xy that lies within the cylinder x? + y² =…

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Q: A. Arcsec x - 25- xdx xdx B. 글x Arcsec x-를- В. C. * Arcsec x + 25- Vx -1 xdx xdx D. 글x + 글- Arcsec x

A: Given

Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

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Q: dx Using Trigonometric Substitution J- 4 sin 8+C express the answer in terms of x. (x²+ x + 1) ² 4x…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Find the derivative of the following function: 2x-1 11. y = %3D Sx +2 13. y = V2x + 6 %3D

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Q: Evaluate the definite integral: 1/5 dx 1-x2

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Q: Find the partial derivatives of the function V1r2 + 1s² + 6r² w =

A: Given,  w=1r2+1s2+6t2

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Let θ denote the angle between thw ladder and the ground