2.which of the ff.is the reverse process of chain rule?a additional rule b.product rule c.substitution rule d.division rule

Q: dx x√x-1 dx √8+6x-9x² 3. S 4. S

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Q: Determine if the function √x² + y² +1 x² + y² f(x, y): 1 2 is continuous at (x, y) = (0,0). If not,…

A: To find whether the given function is continuous or not at(0,0).

Q: Find the volume of the solid generated by the region bounded by y - x² = -3, x+y = 3 about y = -5.

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Q: As you are walking in the forest you look up just as a boulder becomes dislodged from the side of a…

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Q: By method of Integration by Partial Fractions, A B(2x-2) + C (x³+5x²+6)dx (x²–2x+5)² = √ [₁²-2² +…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Consider the vector-valued function R(t) = 1. Find the domain of R. 2. Show that R is continuous at…

A: All three questions are solved.

Q: P N

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Q: Given: planes II₁ : 2x - 5y + z = −1 and II₂ : x + 5y + z = 5 intersecting on a line l (a) Compute…

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Q: 1f S₁ (x+5) dx = Sº (x+5) dx = 14, then the value of b is equal to If A) None B 3 с 4 D -3 E 2

A: We have to find the value of b.

Q: Find the Area of the Surface obtained by rotating the curve about the y -axis y = √√x, 1 ≤ y ≤2

A: Given y=x13    1≤y≤2Rotating about y-axisarea of surface of revolution about tghe y…

Q: Evaluate the double integral: 3 +9 Lo L₂ Y COS(2 (Hint: Change the order of integration to dy dx.) y…

A: The objective is to evaluate the double integral.

Q: One of the correct steps to evaluate A sin²20d0 [² B cos 40d0 C) None Ⓒ//ww D do + sin²20d0 Ⓒ = [ √…

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Q: The volume of a cube is increasing at the rate of 4cm³/min. How fast is the surface area increasing…

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Q: Find the transition points. y = 4x7 - 56x6 (Use symbolic notation and fractions where needed. Give…

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Q: Let line l : x=y/2=z/3 and point P(1,0,1). Find an equation of the plane (in point-normal form)…

A: Solution of given question is written in below steps.

Q: z is a function of x and y implicitly defined by Find and i at (x, y, z) = (0, 2, -1) əz Əx Əy y³…

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Q: The gradient of the tangent to the curve y=-3x³ + 4ax² - 5x + 4 at x = 1 is 2. The value of a is 2.…

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Q: Solve f(x + 1)(x + 2)²(x² − 1)dx with and without the even-odd theorems (show both solutions).

A: Solved below.

Q: -x+1 3+z Given the points R (1, -1, -3), the vector v = and the line d: = 1 + y = 3 2 1. Determine…

A: Both questions are solved.

Q: Determine wether the sequence converges, or diverges. If it Converges, S(2n-1)! 2(2n+1)!S

A: We have to find sequence converge or diverge..

Q: x4 +1 x³+9x -dx

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Q: What integration technique can be used to integrate: O Integration Formulas O Trigonometric…

A: The given integration is I=∫53+x2dx

Q: x² + 4x + 1 (x − 1)(x + 1)(x + 3) dx

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Q: Evaluate J (2a² y +9y³)dA, D is the region bounded by y www 33522 a. 5 O b. 4811 5 OC. None of the…

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Q: Determine if the function f (x, y) = if (x, y) = (0,0) is continuous at (x, y) = (0,0). If not,…

A: Use limit to find wheather function is continuous or discontinuous.

Q: Integrate the following: 1. f xdx x²-x+1

A: The given integral is x/(x2-x+1). Repost the next question.

Q: Solve ²₂(x + 1)(x + 2)²(x² − 1)dx with and without the even-odd theorems (show both solutions).

A: ∫-22(x+1)(x2+2)2(x2-1) dx

Q: Find the exact length of the polar curve described by: r = 2e-0 on the interval 7 6" π ≤ 0 ≤ 9π.

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Q: Evaluate the y' and Simplify the answers I Direct trigo functions y = x² sinx + 2xcosx - 2sinx

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Q: Find the area bounded by the parabolas (x - 1)² = 4ay and y² + 4a = 4ax.

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Q: 2x²+x-2 (x + 1) (x²+1) dx = √ [+41 + x+ 2 If S A B 5 © €/ 5 D 4 E) None 5/2 B (2x) + C 1 x²+1 dx,…

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Q: dy Find the complete solution of 2e-2 cosx-sin²x = 0. dx Note: [e"du=e" + C

A: The given differential equation is 2e-2y cos x-dydx sin2x=0⇒dydx sin2x=2e-2y cos x⇒dy2e-2y= cos x…

Q: df Use integration to find f(1) when f(3) = 1000 and = 4(x+1)(x² + 2x)³. d x -24,272 -26,341 25,980…

A: Integrate on both sides of the given differential equation and find f(x) .

Q: Find the Area of the Surface obtained by rotating the curve about the x - axis X= (²+2),

A: The objective is to find the surface area.

Q: If 10 ["f(x) dx = 17 and A True B) False f'se f(x) dx = 12, then 10 f(x) dx=5

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Q: Using Pappus Theorem, find the volume formed by revolving about the x-axis the area bounded in the…

A: We have to find the volume.

Q: Calculate the integral approximations To and M6 for 10 x³ dx. Your answers must be accurate to 8…

A: ∫ab f(x) dx≈Tn=∆x2fx0+2fx1+2f(x2)+...+2f(xn-1)+f(xn) ∫ab f(x) dx ≈Mn=∆xfx¯1+fx¯2+...+f(x¯n) ; where…

Q: Find the area of the region in the first quadrant bounded by the curve y = √x² +5, the x-axis and…

A:

Q: 2x³ - 4x² − x − 3 dx x² - 2x - 3 zln |x+1| +31n|x - 3| + C Option 1 2 In x + 1-3 ln|x - 3| + C…

A: Given, ∫2x3-4x2-x-3x2-2x-3dx

Q: Find the area of the surface generated when the given curve just sayin revolved about the x-axis.…

A: SOLUTION-

Q: Find a particular solution of =(x−1)² if y=-21 when x=-3. dx

A: dydx  = ( x - 1 )2   , y = -21, x = -3 we have to find particular solution of it

Q: 14. For the series Σn=1 (-1)" 3n0.3+8 S4= Include 4 decimals in your answer. Now find a bound for…

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Q: Let line 1: x = = = and point P(1,0,1). 2 ● Find the set of parametric equations of the line…

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Q: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

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Q: Compute 4 sin(TTX) d dx A. 4 sin(TTX) B. 4sin(TTX) In4 C. 4sin(x) (πIn4).cos(TTX) D. 4 sin(TTX)…

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Q: One side of an open field is bounded by a straight river. Determine how to put a fence around the…

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Q: = Find the area bounded by the curves -x + y² = 8, x = -2y and y

A: Follow the procedure given below.

Q: Let x = 11t², y = 9t6 - 2t². d²y Determine as a function of t, then find the concavity to the…

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Q: 9 ▪C (1) = 5 + 77 + 71 1 10 13

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Q: · ƒ³3(x + 1)(x + 2)²(x² −1)dx with and without the even-odd theorems (show both solutions).

A: