y = x² – 3x; y + x = 0 about the x-axis

Q: What will be the rate of change of the area of a circle with respect to its radius when the radius…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

A: We have to calculate the area of the smaller region bounded by x+52=2y from left sides,and bounded…

Q: Consider the curve, x² - y² + sin (TX) In(x) + x = 0. =

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Q: 7 -2 -1 4 3 2 -3 10. From the above graph of y = f(x), find 7 -2- ↑ 3 4 2 I 1 I-value(s) at which f…

A: From the given graph it is clear that At point x=-4     y=f(x) is not differentiable because at…

Q: Consider s √(x- x-m+ 06 05 O 17/6 14/3 3x5 3x4+6x3-3x2 - 6x A B C + + x-1 x+1 x+m dx Using the…

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Q: 13. - (In t ² )º t dt

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

A: We can answer the question.as below

Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

A: To Find:Set up the integral for the work done in pumping the content to a point 3m from the top of…

Q: Evaluation. Find the antiderivative of the following exponential expression. Show complete solution.…

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Q: S= Evaluate Ox² - 4x 2 Ox²–2x 2 O x² - 2x - In x² - 4x 2 3x5 3x4+6x + In 3x² - 6x - (x-1) 1/6(x+2)…

A: Explained below

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)2=2y, the…

A: Please see the below picture for detailed solution.

Q: Where does the line through (-3, 1, 0) and (−1, 3, 8) intersect the plane 2x + y − z = -2? (x, y, z)…

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Q: Being careful to allow for parts of the curve being both above and below the x-axis, determine the…

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Q: (D³ - 3D²D + 3)y = 0

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Q: y dy Find S² using the substitution u +5=√y+2. √y+2 (A) (√3+2-5) (5√3+2+y+21) +C 3…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 0 2 0 3 01

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Q: What is the derivative of the following? sin(t) d dt f 117 da cos(t) s(t) 4-sin² (t) 1 4 — sin² (t)…

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Q: 4 -4 x3 16-x² dx is equal to

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Q: What is the value of f(1) - 16B in J x³ Inx dx = f(x) ((1/4) Inx-B) + C? (A) 1 B) 0 C 2 D) 3

A: Let's evaluate and then find value.

Q: Given: 3z = xy Find fy O xy/3 Oy/3 Ox/3 O None of the choices

A: We can find the partial derivative as below

Q: Exercises To Solve [No.5] 3-2x-x²

A: Solved below.

Q: If s t5 - 10t², when will the acceleration d² s dt² O2 seconds O 0.5 second O 1.5 seconds 1 second…

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Q: What is the derivative of the function r (x) 5 (9x²-2) (5x+7) (3x³-2x+2) 9x²-2 5 5x+7 3x³-2x+2 5…

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Q: Evaluation. 1. f5x³-³ dx √x3 Determine the antiderivative for each. Show complete solution. 2.…

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Q: 100t Consider the population function p(t) = t+9 a. Find the instantaneous growth rate of the…

A: The given population function is pt=100tt+9.   a. The objective is to find the instantaneous growth…

Q: . Given u = (-3,-4, -1), v = (6,2, -3), find (a) ||u|| (b) ||u+v|| u (c) u + v (d) u+v

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Q: 4. f In (2x + 1) dx =

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Q: Symmetric equations of a line with direction vector d = (5, 3, -4) and z-intercept of 7.

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Q: 50 50 " (ax³ + bx² + cx) dx = 2b [³²x -50 A) True B) False x²dx

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Q: Write the limit lim no 2 이 2 2-2 da; dx; da; dx; 3-2 32 3 512 102 5 2 Aæ as a definite integral over…

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Q: Find 1- y dy y+2 using the substitutionu +5= √√y+2.

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Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

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Q: Question 11 Evaluate €S= A B C D 3x5 3x4+6x³-3x² - 6x x²-2x-In x² - 4x 2 x² - 2x 2 x² - 4x + In +…

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Q: QUESTION 1 Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?…

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Q: y = 4 16 3x+3

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Q: ad Find the equation of the tangent line to the graph of the given function at the given value of x.…

A: We have to solve the trangent line y

Q: ind the equations of the tangent line to the ellipse x² + 4y² + z² = 9, x = 2 at the point (2, -1,…

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Q: y= (4x² + 2) (4x3³ - x)

A: Here we have to evaluate y=4x2+24x3-x

Q: X+2 √4x-x² 16. S dx

A:

Q: Evaluate and Solve the function using the product rule or quotient rule. Show your complete…

A: Our Aim is to evaluate and solve the function given below using quotient rule.y=2x3-35x+2 -(i)

Q: Differentiate the following functions using Chain Rule: 1. y = (4x + 3)²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Evaluate tan" (x) sec¹x dx. 1 1 (A) -tan (m+2)(x) +· ¹tan" (x) + C - m+2 m 1 1 (в -tan (m+3)(x) +…

A: On solving this we will get Option (B) is correct

Q: Sand is poured at the rate of 10 m3/min so as to form a conical pile whose altitude is always equal…

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Q: Evaluate sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…

A: we have to find the solution

Q: Evaluate tan" (x) sec¹x dx² A −tan (m+2)(x) + — tan” (x) + C m+2 1 −tan (m+3)(x) +_¹__tan (m+1)(x) +…

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Q: find the value of k that will make the function continuous. f(x)= { 2        ,if x <-4         { -x…

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Q: dx (x-3)² (A) None B 0 C ∞o (does not exist) - 1 1 S Evaluate: D E

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Q: If tan A = and tan B B = 1/1, calculate and simplify the following: tan (A - B) = [?]

A: SOLUTION-

Q: 8. fx(1+x)²/³ d dx 2/3

A: SOLUTION-