Find* esin ¤ dx tan x csc x cos x e $in xt. - cos x e Sin x + c Option 4 Option 2 esinx + c ,sin. -esinx + c Option 1 Option 3

Q: ecot x 20. J sin? x(e-cotx) dx is equal to А. е cot x + C B.글ecot x + C С. —есot x + C D. -ecot x +…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(10,…

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Q: Find parametric equations of the line through (-1, –1, 6) that is parallel to 2i – 4j+k. x(t) = y(t)…

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Q: Find the third order derivative of y = In(cos(2x))". A. y' = -40sec²(2x)tan(2x) B. y' = -80sec…

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Q: Use the method of reduction of order to find a second solution of the differential equation 1?y" +…

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Q: If f (x,y) = In(x² + y²), then fx(x,y) + fyy(x, y) is: а. 0 x+y b. x2+y2 2х+2у с. x²+y2 d. Undefined

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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: Find the directional derivative of f at P in the direction of a. f(x, y, 2) = xy + 2²; P(2,-5, –1);…

A: Given query is to find the direction derivative. BB

Q: Euler me thed to salıe use

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Q: 2 sin? x 7. lim x→0 5x(1+cos x)

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Q: Find dx (1 – x²)³/2 + c Vx2 – 1 V1 – x2 Option 3 Option 2 Vx2 – 1 + c V1- x² - Option 4 Option 1

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Q: [p'(8+3p*)®dp

A: Given: I=∫p78+3p48dp  ...1   The Power rule: ∫xndx=xn+1n+1+C

Q: Solve the following differential equations using the method of undetermined coefficients. y" – 3y" +…

A: This is a problem related to second order differential equation. Solution will be conjunction of…

Q: xdx + ydy == (x² + y²)dx

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Q: 1 Sava (x³/3=1)/x dx (Hint : let x = u°)

A: Solution of question is written in below steps.

Q: Determine whether the lines are parallel or identical. x - 3 y + 8 z + 7 5 y – 1 _ z + 22 4 -3 x + 9…

A: The given two lines are                 x-34=y+8-3=z+75 and        x+9-8=y-16=z+22-10 We first find…

Q: M3.2 Trigonometric Groups 3. S sin³x cos xdx 4. S Vtan x sec*x dx

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Q: cOs x dx |(sin? z + 4)%/2 1 sin x sin x cos x 1 cos x +c +c 16 vsin ²x + 4 48(Vsin ²x + 4 16 Vsin 4x…

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Q: -1 and Determine an equation of the line of intersection of the planes 2x – y + 3z x + 4y – z = 2

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Q: Identify and sketch the graph of the following equations in R'. (a) x² + 2y2 + 22 – 8x + 12y – 2z +…

A: Let's find.

Q: C) Prove that a Cauchy sequence of real numbers is bounded.

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Q: Given the function f(x) = – 3z² f(r + h) – f(x) h Find the difference quotient Find f'(x) by…

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Q: Find parametric equations of the line through (-3,1,1) that is parallel to 2i – 5j+k. -

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Q: Consider the parallelepiped with adjacent edges u = 3i + 4j + k v = i+j+ 4k w = i+ 9j + 6k Find the…

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Q: Solve the given third-order differential equation by variation of parameters. y"+ 64y' = sec(8x) |3|…

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Q: dy x(x+ 1) Solve and find the particular solution when y(1) = 3 %3D dr

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

A: For (a),     limx→2-4 f(x)=limx→ 2-41-18xPlug in the value x=2=-41-18· 2=-3

Q: Suppose f(r) is a function whose Derivative f'(x) is graphed below on the domain [0, 9). y = f'(x) 1…

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Q: 5 dx J 125x2-9 5. 4t.a-2t

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Q: Evaluate the following integral using trigonometric substitution. хах а. Vx2– x – 1

A: To evaluate the following integral using trigonometric substitution.∫x dxx2-x-1

Q: O y" + y 0 O y" - 5y' + 4y = 0 O y" + 2y' + 2y = 0 O y" - 3y' - 4y = 0 O y" + 2y' + y = 0 O y" + 9y…

A: Curve

Q: Find the area bounded by these curves. (All choices are in sq. units) y = x 4x +y = 12

A: Here, the is a line passing through the origin. And,  4x+y2=12⇒4x=-y2+12⇒x=-14(y-0)2+3 which is a…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: 3. y" +3y" + 3y' ty :e-x - ylo) =o yto y" lo) y" la)= 2

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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: 72 (29.4) Determine whether the series (-1)" is absolutely convergent, condi- n2 + 1 n=1 tionally…

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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: Verify that the two planes are parallel. -x + 6y + 3z = 7 x+ 2y + z = 8 Find the normal vector, n,,…

A: Normal vector of a plane Ax+By+Cz+D=0 is defined as A, B, C

Q: Find the area bounded by these curves. (All choices are in sq. units) y = x? y = 4x – x2

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Q: 1. Consider the function f(x) = x - 4 on the interval [-2,2]. Calculate the Riemann sum using: a.…

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Q: xdx + ydy = (x² + y²)dx

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Q: The are of a rectangle is 100 cm2 and one of its sides is x cm. Find the minimum perimeter possible.

A: Let us consider a rectangle with length l unit, breadth b unit Then area of this rectangle= lb…

Q: Evaluate * (1 – x²)3/2° 1 + c 3 1-x2 -1 + c /1 – x² O Option 4 Option 2 2 1 1 + c /1 – x² :+c 3 V1-…

A: ∫ xdx/(1-x2)3/2 here assume that  1-x2 = u -2x = du/dx xdx = -du/2 ∫ -du/2u3/2 ∫ -u-3/2du/2 2u-1/2/2…

Q: 2. S(r2 +r + 1)e"dr 3. Find the area of the region in th

A: Given problem:- ∫ (r2+r+1)er dr

Q: Find the directional derivative of f at the point P in the direction of a. f(x, y) = x³ – 6y³;…

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Q: Solve the given third-order differential equation by variation of parameters. у" - бу" — у'+ бу 3D…

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Q: State whether the following numbers are rational or irrational. a) V4+7/2 b) V36 c) V112510716

A: Given: a)4+72b)236c)112510716

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

A: We need to find directional derivative.

Q: xp sin 5x cos 3xt cos 5xsin 3x xp x²+ 2x + 5 EX Find:

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Q: Question 2 of 10 View Policies Current Attempt in Progress Find the directional derivative of f at…

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