x² +2 (x-2)(x² - 2x+2) dx S U 2-2x 3 (√(√72²2²2²X + 2 + x ³₂ ) dx

Q: Use the rules of differentiation to find the derivative of the function. y = sin(0) -11 2.2.025.

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Q: Problem r7 ¯7² xVx² - xVx² 0 + 1 dx

A: Topic:- application of integration

Q: Problem 7 Ső S xvx² + 1 dx

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Q: B. The vector =(4,-2, 1) ends at the point P=(7,-7,2). At what point does the vector start?

A: Note: Here, question A is an initial value problem (IVP) but initial values are not given.Therefore,…

Q: Solve the D.E XỲ+Y=- 1 y2

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Q: Evaluate x ds, where Cis с a. the straight line segment x = t, y = = 737₁1 3' b. the parabolic curve…

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Q: (1) (-³)) = the output value is the same as the input value. Composing a For sin (sin-1…

A: Composing of a trigonometric function with its inverse can be done in a lot of ways.    a)…

Q: Find the area of the region enclosed by the graphs of f(x)=x²-10x and g(x)=6x 50-64

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Q: The function f is graphed below. State the values that fulfill the following requirements. If there…

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Q: The graph of f is given. y 3 * X -4 2 (b) What are the domain and range of f−1? (Enter your answers…

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Q: Consider the diagram shown below. Suppose that O = (0,0) and A = (3.2, 0) and B = (2.71, 1.7). The…

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Q: dy : Find the for the following functions: dx 1- y = e(x+ln 5x) 2- y = cosh-¹ sin 2x 3- y = xsinh x

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Q: The position of an object moving along a line is given by the function s(t)= - 8t +72t. Find the…

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Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y +9y-10y = -40t² -…

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Q: Consider the function f(x) exact values. f'(x) = f''(x) = f'''(x) = = Compute each of the following.…

A: Topic:- derivatives

Q: Let F(x) = f(x¹) and G(x) = (f(x))¹. You also know that a = Then F'(a) = = 12, f(a) = 3, f'(a) = 4,…

A: Fx=fx4 and Gx=fx4a3=12, f(a)=3, f'(a)=4, f'a4=7

Q: Find the slope of the line satisfying the conditions. parallel to 7x + 5y = 57 Select one: O A. m m=…

A: We know  slope of two parallel lines are same. Now,  the given equation of line is 7x+5y =57. We…

Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: To find the minimum point of y=8x+4x-22.

Q: 3. Find the area of the region enclosed by the two curves y = x² and y = -2x² + 3x.

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Q: g(x) = 3 ln(x - 2)

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Q: For the given function f(x,y)=x²y³+3x³y, find a flay (A) 2xy³+9x²y B) 2+18xy C) 6xy²+9x² D 3x²y²+3x³

A: Topic = Derivative

Q: blanks 1 3. The angle between vectors A = 91-j+5k and B=(-2,7,1) is...... 4. If = (-12,4,8) the…

A: ssolution given below

Q: Find the transition points. y = 3x² - 42x6 (Use symbolic notation and fractions where needed. Give…

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Q: 5. fe²x sin x dx 2x

A: Given ∫e2x sinx dxTo evaluate the integral:

Q: The domain of f(x)=y=. x-1 x+2 is

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Q: 3. Use Stokes' Theorem to evaluate $ F dr, where F = (0, 0, 2), (1, 0, 2), (1, 1, 2), and (0, 1, 2),…

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Q: R is the region bounded by the functions f(x) = -and g(x) = -. Find the area A of R. Enter an exact…

A: The region R is bounded by the functions fx=-4x and gx=4x7-327

Q: Find the equation of the tangent line to 2²-3ry + y² = -1 at (2,1).

A: Application of differential

Q: Find the general solution to differential equations 2 #) (-2xy) dx + (Siny-x²) dy +³

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Q: d²y dy 4. (a) Compute the general solution for: +4 dt +3y=e-t/2. dt² (b) Compute the solution with…

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Q: Can you write it in a paper? I don't understand

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: topic - inverse trigonometric ratios

Q: 18. f (x+9)dx x²+6x+25

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Q: Q4:Evaluate 1) lim (1-²) x-0 \sin x

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Q: Q3: Solve the D.E_XỲ+Y=. XY+Y= 7/2/2 y2

A: The given differential equation is  XY'+Y=1/Y2

Q: Solve the differential equation: (x+y+2)dx-(x-y-4)dy=0

A: Solution

Q: Q1: Find the third Maclaurin polynomial to f(x) = sinx

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Q: Q4:Evaluate 1) lim (1-1) x-0 \sin x

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Q: ow that the differential form in the integral below is exact. Then evaluate the integral. 5,1) 20x…

A: We have to examine that the given differential form of intregal is exact or not .after that we have…

Q: = - - 6q² + 700q, where R(q) is in dollars and q Suppose a product's revenue function is given by…

A: The revenue function is given by , R(q) = -6q2+700q

Q: y = sin² (3x)

A: Topic = Derivative

Q: answer the related questions. 7. ул y = G(x) 3 10 + N grap -2 -1 0 4 5 a) Find lim G(x). x-3+ b)…

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Q: Q2: test if (AB)¹ = B¹A¹ A = 4 1 4 -3 61-63 0 2 B = 0 2 L3 5.

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Q: If an object is dropped from a 150-foot-high building, its position (in feet above the ground) is…

A: Negative sign of the velocity is due to the downward movement of the body.

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

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Q: Find the length of the arc of a circle of diameter 1010 meters subtended by a central angle of π4π4…

A: Solution ) diameter - 1010 m , angle = π/4 Radius =  1010/2           = 505 m length of arc of…

Q: Arrange the choices in order 1,2,3.. to prove: For any sets A, B and C x (BU C) = (A x B) U (A x C),…

A: Here we have to arrange the option.

Q: 100 Ln=1 a. Converge 3 b. C. d. Diverge (-3)2+1 is 23n 318 338 8 b 2 2 0 J d a *

A: The objective is to check the convergence or divergence of the series.

Q: 14) lim

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Q: (b) Find the points on the given curve where the tangent line is horizontal or vertical. r = 1 + cos…

A: We are given a curve in its polar form  r= 1+cosθ We have to find points on the curve at which…