QUESTION 7 Evaluate [x²e² de O e¹(x²-2x+ 2) + C Oe(x²+2x+1)+C Oe(x²-2x+1) +C Oe(x²+2x+2) + C

Q: 2. The path taken by a particle is a horizontal line as it moves according to the law 4 5,3 17.2 S =…

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Q: 2. Suppose that 2= f(x,x) with x = ln (26-t²) y= 2 s²+²+t. Use multivariable chain rule to compute…

A: Let fx, y=4xy2+4y+exySuppose that z=fx, y with x=ln2s-t2 and y=2s2t2+t. To use multivariable chain…

Q: A free-falling object falls from rest and has a weight of 89 N. The force due to air resistance (in…

A: Option A is correct the detailed explanation is given below

Q: Find the equation of the line tangent to the graph of f(x) = (In x)5 at x= 11.

A: Topic = Functions

Q: Solve the inexact differential equation y dx + (2xy-e-2) dy = 0.

A: The given differential equation is; ydx+(2xy-e-2y)dy=0

Q: QUESTION 4 Evaluate Stan²3x de 01 3" 01 tan3x -x +C 01 tan³3x + C tan³3x+C O tan3x - x +C

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Q: A certain bacteria culture is known to grown at a rate proportional to the number of bacteria…

A: Substitution and calculation is the key for such problems.

Q: Find an equation of the sphere with center (-5, 1, 9) and radius 9. What is the intersection of this…

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Q: 2) g(x) =x2+3x-5, afx = 1

A: We need to find out the derivative of the given function at x=1

Q: 8⑧1+S 1+ (+)+ +8

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Q: K|3 0 sin(3x) cos(x) Integrate By Parts

A: Solved using the given formula

Q: Consider the integral fa¹ In(a) Applying the integration by parts technique, let U = In(x) dv = x4…

A: This question is based on Integration by parts technique.

Q: Given the function f(x) = 2x¹ - x³ - 4x² + 7x-5 find f""(3)

A: Given function is fx=2x4-13x3-4x2+7x-5 We have to find f'''3

Q: Consider the differential equation dy/dx = 5-y. (a) Either by inspection or by the concept that y =…

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Q: Find Î(t), Ñ(t), Â(t), and the curvature x(t) for r(t) = (sin³ (t), cos³(t), 2), t€ (0,1). (Your…

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Q: 45-46 Find az/ax and az/ay. = = f(x) + g(y) 45. (a) z (b) Z = f(x + y)

A: We have to slove above questions

Q: Make an ORIGINAL EXAMPLE OF "Variable Separable" A) GIVEN B)SOLUTION C) ANSWER D) WITH EXPLANATION I…

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Q: For the curve 2² - 4xy² = y³ +9, do the following:

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Q: (x+ d

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Q: Find the solution of the given DE. 1. y' + y = xy(1) = 0, x

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Q: Evaluate the expression when x=-6. x² + 7x+8

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Q: Express the following curves (given in polar coordinates) in Cartesian coordinates: r=-3 sec v r² =…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: g(x) = x² - 2x x² - 4x +4 5 x² - 2x - 8 x2 − 5x+6 , x 2

A: g(x)=x2-2xx2-4x+4    , x<25                 ,x=2x2-2x-8x2-5x+6      ,x>2

Q: Find the area of the region bounded by the graphs of the given equations. 2 y = 3x+18, y=x

A: Here is the solution:

Q: V -5 -4 -3 57. 4 3 2 01 -2 -1 -1 -2 -4 -5 1/2 3 4 5 MathBits.com X

A: Given data÷ Find the range of the function shown in the figure÷   Definition÷ Range ÷  It is the…

Q: Find the derivative of the function g(x) = sinx - xcosx, and show work.

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Q: Calculate the first, second, and third derivatives of 11 41 + x (Use symbolic notation and fractions…

A: To calcylate the first, second, and third derivatives of yx=1141+x

Q: Graph and find the vertical asymptote of the function: x² +1 3x-2x² y =

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Q: The integrating factor r"y is multiplied to the differential equa- (2y 6x) dx + (3x - 4x²y-¹) dy = 0…

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Q: u 2.) du + (-1/2 − u²)dt = 0 t

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Q: he graphs of y = f(x) (solid) and y = g(x) (dashed) are shown. The two graphs intersect at ( Region…

A: Topic:- application of integration

Q: 19. |2xy cos (x²) − 2xy + 1] dx + [sin (x²) − x²] dy = 0. ANS. y[sin (x²) x²] = c - x.

A: 19. The given differential equation is 2xycosx2-2xy+1dx+sinx2-x2dy=0 We have to find the general…

Q: 9. Eric wants to make a cylindrical water tank from sheet-metal. It must have a top and bottom. The…

A: Volume of the cylinder , V =πr2h ; where , 'h' is the height and 'r' is the radius of the circle.…

Q: direction: find the indefinite integeal   x-3  / x^2 + 1

A: Given query is to find the integral.

Q: 28. y² dx + (x² + 3xy + 4y²) dy = 0; when x = 2, y = 1. ANS 462v + y) ln v. 2 v

A: See this solution in below.

Q: (x⁹ + x4)dx (x5 - 5)10

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Q: The cost function of producing x items is C(x) = 4x² - 12x + 500. a) Find the marginal cost function…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Given 10t² 14t 80 3 t³8t² t 10t² - 14t - 80 t³ - 8t² c) Evaluate · antidifferentiation + dt 10 t² 7…

A: To evaluate the given integral

Q: Given 10t² 14t 80 t³ 8t² Evaluate *10t² - 14t - 80 ³ - 8t² c) antidifferentiation Add Work - Submit…

A: Given 10t2-14t-80t3-8t2=  3t+10t2+7t-8Evaluate: ∫10t2-14t-80t3-8t2dt

Q: culate the cross product assuming that u x v = (6, 7, 0) vx (u + v) = (a, b, c) e symbolic notation…

A: Given query is to find the cross product.

Q: What is the slope of the graph? a) undefined b) positive c) negative d) 0

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Q: Compute the dot product. (Give an exact answer. Use symbolic notation and fractions where needed.)…

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin³ sin³ 20 √ cos 20 de

A: To find the following indefinite integral.∫sin32θcos2θ dθ

Q: Find the limit as n approaches infinity of: an = (2n²+ n-1)/n³

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Q: State the Green theorem in the plane. Express part (a) in vector notation.

A: Topic:- calculus

Q: 1. During a rainy spring in the city of Fort Collins, Colorado, the following depth readings were…

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Q: h (x) = x² lnx, at

A: Topic:- function and it's derivative

Q: 5. For the constant numbers a and b, use the substitution = a cos² u + b sin² u, for 0 <u<, to show…

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Q: Let Am 40 -17] Find two different diagonal matrices D and the corresponding matrix S such that A =…

A: we can find eigen values and eigen vectors to find the solution.

Q: Write

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