C. Trigonometric Substitution. 9-у 1. dx 2. e2x+1 r2+VZ 3. (2+vz х. 4х — х2

Q: Find the solution. dy 2y + dx -=x²y²sinx 1 (A) y = х? (sinx - c) B y = x ( sinx +c) y = x²(cosx+c)…

A: We have to find solution of given D. E.

Q: Express the limit as a definite integral on the given interval. lim > x; In(2 + x;2) Ax, [2, 5] n-…

A: The solution is given below

Q: Find the vector component of v = 2i - j+ 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given: 2x+5y=-7; x-38=y2=z-714 Let, x-38=y2=z-714=t ⇒x=8t+3; y=2t; z=14t+7

Q: Air is being pumped into a spherical ballon at a rate of 4 cm3/min. Determine the rate at which the…

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Q: Find if dy y2+4 + In(x + 2) = xy3 dx 2vx+4 2yvx + 4 - 3xy² x + 2 Vx + 4 -3xy? 23Vx +4 1 x+2 2x+4…

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Q: (2) A stone is thrown vertically upward from the ground with an initial velocity of 40 ft/sec. (2.1)…

A: Topic:-  basic maths  Note :- as per our guideline if more than three subparts need to be answered…

Q: Consider the points A(3, –3, 2), B(4,–5,0), C(-1, –4,0), and D(6, 2, –3). (a) Find the volume of the…

A: AB→ = i -2j-2kAC→ = -4i-j-2kAD→ = 3i+5j-5k Volume of parallelepiped with AB→, AC→ ,AD→ as adjacent…

Q: MY NOTES ASK YOUR TEACHER Consider the following functions. f,(x) = 4, f,(x) = cos2(x), f,(x) =…

A: Let's find.

Q: S sin x In(cosx) dx

A: To evaluate the integral: I=∫sin x(ln (cos x)) dx Substitute  cos x=t⇒-sin x dx=dt⇒sin x dx=-dt

Q: Evaluate the indefinite integral. x + 3 dx x2 + 6x + 10 Integral =

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: Solution of question is written in below steps.

Q: In a race to better understand the behavior of Dresident Puterte, researchers have proposed two…

A: The given models have the equations: ln x2-14ln 2y2=δ, where δ is a constant and x, y are dependent…

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: Solution is given below

Q: Find the distance between the skew lines: * = 6+ 9t, y = 5 + 2t, z = 6 – 9t y = 9, x = 1- t, z = 4 +…

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Q: Evaluate the following integral using the method of partial fraction. (2х3-3х?) dx a. 2x2-7x+5

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Q: n equation of the plane with the given characteristics. y – 4 The plane passes through the point…

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Q: In the figure, a 2400 kg demolition ball swings from the end of a crane. The length of the swinging…

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Q: 11. To each linear factor occurring once in the denominator of a proper fraction, Adx there…

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Q: Consider the following higher-order differential equation. d³u d?u + - 2u = 0 dt3 dt2 Find all the…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Differentiate the following using logarithmic differentiation. 1. у%3D (x+6)(x+8)8 (r+3)3(r+5)s

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Q: ind the directional derivative of f at P in the direction of a. r, y) = 5x°y°; P(3, 1); a = 4 i – 3…

A: Given query is to find the direction derivative.

Q: Any plane passing through (-2, 2, 2) is A(x+2) + B(y – 2)+C(z- 2) = 0 : It passes through (2, –2,…

A: Solution of 3 variables linear equation is solved by using cross multiplication method.

Q: х3+9х2+20х 4. lim х-3+ х2+x-12

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Q: Given the region bounded by y=×^3 ,X = 2, and the x-axis (in Quadrant I) is rotated about the line y…

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Q: Find the area of the triangle with vertices P(1, 2, –3), Q(0,0,0) and R(3,4, 1). NOTE: Enter the…

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Q: ylo) >3 y'lo) : -s g"Co) » 1 y" Co) = -23 yu Co) = 47

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Q: ecot x 20. J sin² x(e- cotx) ax is equal to A. ecot x 1 + C ecot x C. -ecot x + C D. –ecot x + C

A: Given problem:-

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: dx 25. Integrate: S Ve-2x –1 А. Sec-1e* + С В. Sec-1е-* + С С. — Sec-1e* + С | D. —Sec-1e-* + с

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Q: ar +b. 2r' - 1, f(z) = I>3

A: The given function,fx=ax+b,x≤32x-1,x>3

Q: (1,3)

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Q: Evaluate the following integral using the method of partial fraction. (6x²+ 41x + 110)dx b. S (x +…

A: Given:     ∫6x2+41x+110x+2x2+10x+29dx Perform partial fraction decomposition:

Q: Question Is S (÷x² + 5x + C ) dx = Зх + 5 сorrect? CLAIM EVIDENCE REASONING

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Q: /9-y dy

A: We have to integrate.

Q: АCTIVITY GIVEN : 2x 2x 1 2х + 3 1 f (x) = 1 –x 8 g(x) = 3(x + + 4 h(x) = 6 a.lim -4 · f (x) d.lim (8…

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Q: Given the graph of f'(x) below. (a) Find the intervals on which f(x) is concave up/concave down (b)…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 9i+ 4j. NOTE: Enter the exact…

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Q: Choose the correct answer. 1. The sequence (x) = (-n) is. a) Cauchy b) bounded e) divergent d)…

A: We have1) The sequence (xn)=(-n) is . . . . . . . . .Now we have take n=1 x1=-1put n=2x2=(-2) So, we…

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z² (2,…

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan L, , (3,…

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Q: 1 Integrate: S tan*÷x dx 3

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Q: Vx* Show that for x > 1, coshx-(cosh 3x- sinh? 3r dx 3x) In(x+ Vx² (b) )= In(x+ Vx .2 +Vx -1

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Q: Find the ff: a. if the differential equation in question is homogeneous b. the given differential…

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Q: The term t (in years) of a $200,000 home mortgage at 7.5% interest can be approximated by the…

A: Given that the term t of a $200,000 home mortgage at 7.5% interest can be approximated by the…

Q: (6) At the start, an experiment records 1 gram of bacterial culture, and the culture's weight is…

A: In logistic growth, a population's per capita growth rate gets smaller and smaller as population…

Q: Discuss the continuity of the function on the closed interval. Function Interval 9 - X, f(x) = [-3,…

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Q: 14. Which of the situations below could – 100(+7)? A plane, currently flying at an alti A plane,…

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