FindS( 3x* – 2x³ + 4x² – 5x + 2) dx -

Q: Write the general equation for the circle that passes through the points (1, 1), (1, 3), and (9, 2).…

A: To find the equation of circle passing through three given points.

Q: dx 1-S; 4+x2

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Q: Reacting with water in an acidic solution at a particular temperature, compound A decomposes into…

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Q: 6. Determine an equation of oNE of the two lines tangent to the curve x?y +2xy² = x + 6y, when x =…

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Q: Suppose a particular antibiotic that is introduced to a petri dish containing 3000 newly discovered…

A: The given condition, a Petri dish containing 3000 newly discovered flesh-eating bacteria makes a…

Q: #2. Determine if the function g(x)-3x+5x is even, odd, or neither (a) using algebraic approach, (b)…

A: Odd even function

Q: Evaluate (x – 17)dA where Ris the region in the first quadrant enclosed between y = x and y = x³. R…

A: Given curves y=x, y=x3 Now for point of intersection we put, x=x3 So, x(x2-1)=0 So, x=0,1 as x lies…

Q: Use double integration to find the volume of the solid bounded by the cylinder x? + y? = 64 and the…

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Q: dx 1-S, 4+x2

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Q: Directions: Solve the derivatives of the following functions using the rules in differentiation in…

A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: 1 (x-1)(2x3+2x2+3x+2) x3 (x+1) dx

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Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. || %3D

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Q: dy 5. S: y(1-Vy)2

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Q: Solve the boundary value problem y" – 10y' + 25 y = 0, y(0) = 3, y(2) = -2. %3D %3D

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Q: R={ (x,y): 0<x, 0 y, x²+y? <49} be enclosed region. The result of the following double integral (by…

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Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (7t + 6)i + tj, 0st<1

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Q: The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: Follow the procedure given below.

Q: Q3/ Find the area of zone bounded by curves: y= x , y= 3x+8

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Q: x3 +4x2+37x+58 6. S: x(x2+4x+29)

A: To evaluate the given integral.∫x3+4x2+37x+58xx2+4x+29 dx

Q: 1. Find the maximum value of r+y subject to the constraint r + y? = 18.

A: The maximum value of x+y subject to the constraint x2+y2=18

Q: 1. Let f(r, y) Find: %3D I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a)

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Q: 3) Water is being poured at the rate of 2TT m3/min. into an inverted conical tank that is 12-meter…

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Q: The critical numbers of the function f(x) = x³ – 6x2 are x = 0 and x = -4. Select one: True O False

A: Given; fx=x3-6x2   As we know that; To calculate the critical numbers of the function, f'x=0.   And…

Q: Find the general solution of the differential equation y" – 3y" + 2y' = 0.

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Q: 1. [(20x + 30)(x² + 3x – 5)° dx 2. S 5(x – 4)(Vx² – 8x) dx - 3. S 3x-4(2+ 4x-3)-7 dx

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Q: 3- f xvx2 +1 dx

A: Integration

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

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Q: 4-S cosh ? Va dx Vx csch vx

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Q: solve D.E (Z+3j) du – 2xydy = 0

A: Given problem:- (x2+3y2)dx -2xydy=0

Q: Directions: Answer what is indicated in each number. 1. Find the derivative of f(x) = 3x², and…

A: 1.  f(x)=3x22. The curve y=2x2+3

Q: system. Include an appropriate title and leg # 2. Are the functions G (x)= and H(x)= x the same?…

A: The given functions are G(x)=x2 ......................................... (1)  and H(x)=x…

Q: d. dt d Calculate ri(t) - r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly…

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Q: Use Green's Theorem to evaluate the line integral (y – x) dx + (2x – y) dy for the given path. C:…

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Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given lines are, x=8t+2,y=3,z=-t+1And x=2s+2, y=2s+3, z=s+1⇒x-28=y-30=z-1-1=t…

Q: 2. Evaluate each limit, if it exists. Show all reasoning. 2-Vx-3 4+x a) lim エーキー4 b) lim c) lim l X…

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Q: t dt. Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) =|…

A: f(x)=∫3xt7dtf'(x)=ddx∫3xt7dtBy fundamental theorem of integral calculusf'(x)=x7

Q: Solve the initial value problem y" - 8y' +52y = 0, y(0) = 1, y'(0) = -3. %3D

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Q: Use Implicit Differentiation to find dy/dx where 2xy + x = 1 1-2y a. y' = 2x -3-2y b. y': 2x -1-2y O…

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Q: Question 7 of 10 f (x) = x – 6x² + 9x - 2 Select the correct response 2.x2 + 12x – 9 - 6x - 12 372 –…

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Q: . A cylindrical tank full of water has a radius 2 ft and a height of 6 ft. Find the work m pumping…

A: Work = force × distance Force = weight

Q: х3-х-1 4. S (х-1)(x?-х)

A: To evaluate the given integral.∫x3-x-1x-1x2-x dx

Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r?h. %3D (a) Find…

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Q: Evaluate S(5 – 3x) dx using geometry. | 1 3.

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Q: / Find the value of the following: 1) cos (tan- 1) 2) sin (sin-) -1 3) tan (cos n) cos (sin-1) 4)

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Q: x 4 Determine the constants a and b so that f is continuous on R.

A: This question can be solved using the concept of continuity of a function at a given point.

Q: 4) A particle is moving along the curve y = vx. As the particle passes through the point (4,2), its…

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Q: 2. What is the area of the circle if the diameter is 48 m? 3. The wheel of the car has a radius of…

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Q: Write the general equation for the circle that passes through the points: (0, 0) (6, 0) (0, - 8) You…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: given  r(t) = cos(πt) i - ln(t) j + √(t-4)k ; t0 = 5  Have to find domain of r(t) and valu of r(5).