Find(rr) r d d/ (1₁•1₂) if x = ( 2 ₁ √ ². e²¹ ) and r₂ = (7, In (2),1).

Q: Suppose u(x)=√√x. Then, A 2x B с 1 2x -2x u"'(x) u'(x)

A: Given

Q: If z = x² - xy + 3y2 and (x, y) changes from (3,-1) to (2.96,-0.95), compare the values of Az and…

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Q: = f(2y + 3)²√√y+2 dy

A: To solve the given integral

Q: 7. Find d²y dx² from y = √√x- =√x-²/2

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Q: (ax-3 (x+4)8 Degreez co EGAelents

A: The detailed solution is given below Thank you

Q: √ (9+x²) ²0 dx is equal to 3x a. + Arctan) + C 3x b. (+ Arctan) + C - 54 c. + Arctan) + C 27 d. - (+…

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Q: Suppose y = 5x²+7x. Finc

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Q: 7. Use substitution to evaluate ſ 2x(4 – x²) dx.

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Q: L(cos3t) = S .a O s²+9 S .b O s+9 s2 –9 3 s2+9

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Q: +). L x-1 dx -1x2+1

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Q: 3 (5æ° + 2x") dx - 4 Find

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Q: d 7. { x7 +1 Væ5 + 1 dx

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Q: 7x+6x+5 dx. Evaluate J(x+1)(x² +1)'

A: Consider the given integral.

Q: d A) show that: (x³) = 3x² . dx

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Q: ri(t) - r2(t)] = ri(t) × r2(t)] dt

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Q: 2. [x² √x + 1 dx

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Q: The tanh (2x) sech (2x) dx is equal to sech (2x) sech (2x) +C OA 3 10 OB. sech (2x) sech (2x) +C. 3…

A: Solution

Q: | f(x)dx = 3 and f(x)dx = 7 , then (2f(x) +3)dx = If 4

A: TO FIND ∫43(2f(x) +3) dx GIVEN - ∫03f(x) dx = 3 ∫04f(x) dx =7 USE THIS PROPERTY TO SIMPLIFY- ∫abf(x)…

Q: 10. (D² – 3D) y= 9x² = 9x2

A: 10) Given Information: Given differential equation is D2-3Dy = 9x2

Q: Find f(2 x* - 3 V) dx.

A: Given : ∫2x5 - 3xdx

Q: (d) fbx ²²+1 dr br

A: We can evaluate the given integral by using the substitution u = ax2 + 1

Q: 4. dx √-x² + 6x

A: 4.We need to evaluate the following integral,⇒I=∫dx−x2+6x ;

Q: 7x2 + 15 dx. x2 + x Compute f

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Q: 6х —9 4.) dx 22— 3х +2

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Q: e2" – e5r dr dx b)] Jx (1 + x) + e3r

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Q: 4.a) Find d dx y = ln (2²/ n (²x + 5) b) Find dy dx y = 3√√x++2x e³x (5x²)

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Q: (1,2) D (1.1) x+3y=7 (4.1)

A: Step 1: the distance between two points is d2=√((x2-x1)2+(y2-y1)2) Step 2: find the distance of all…

Q: 2f(x)dx = - 4 and | (F(x) + 1)dx =7. Then | (3f(x) – 2x)dx = Select one: а. -2 b. 19 С. 10 d. 13

A: ∫-122f(x)dx=-4 and ∫-13(f(x)+1)dx=7. find ∫23(3f(x)-2x)dx

Q: dx S x(1+(lnx))²) 2.

A: This question is related to indefinite integration, we will solve it using given information.

Q: Y = -2X, then p(X, Y) = 1?

A: Solution

Q: Q2: Find for y= (4x² +12)²(3x-20)² dx

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Q: .7 Evaluate ſ x³tan-1x dx.

A: The integral is given , ∫x3tan-1x dx. Solve the integral by integration by parts, ∫x3tan-1x…

Q: Find // (3x + 5y)dA where D D = {(x, y) | x² + y² 0} . Round your answer to four decimal places.

A: Double integration

Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: Z = 5 X 4 2 -7x+8 d²z dx2

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Q: (a) / | Va? (а) /a² + x² dx

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Q: dx Зх 3D 2sec® in x²V9x² – 4

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Q: (x+6) 15. J (x+2)2 dx

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