1 2 3 4 5 ements below that you agree with. be checking more than one box. No partial credit. defined. f(x) exists. f(x) = f(2). ction is continuous at x = 2. ction is not continuous at x = 2.

Q: in the quadratic equation Ax²+BX+C =0, describe the roots when B²-4AC is negative. A The roots are…

A: As we know that; For the quadratic equation Ax2+Bx+C=0 (a). If D=B2-4AC>0,  the roots are real…

Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval.…

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Q: 2. (y - x + xycot x) dx + xdy = 0

A: We have to solve the given differential equation.

Q: Annual high temperatures in a certain location have been tracked for several years. Let X represent…

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Q: 9. y = 3 Arcsec 3x

A: On solving this we will get

Q: Evaluate fxsin zdz. 00 01

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Q: 10. 2z + 3 2+2 11. 2z - i iz + 2

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Q: Problem 3: ( >>> A bacteria culture starts with 500 bacteria and doubles in size every half hour. •…

A: Topic:- function  Note :- as per our guideline if more than three subparts posted than only first…

Q: (D³ - D² - 4)y = 0

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Q: (D³ + 2D² - 5D - 6)y=0; y = 0, Dy=0, D²y = 1, when x = 0.

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Q: What integration technique can be used to integrate: (A) Integration Formulas (B) Integration By…

A: Option (d)

Q: Find the area of the region bounded by y²-x=0 and y²+x=2₁ A 2²—4² B (√2-1)u² C8u² 3 (D)

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Q: (d) The set of points in space equidistant from the origin and the point (0,2,0). (e) The set of…

A: Question d and e has been solved as per the request of the student.

Q: 3 Safin designed and launched an app. One week after he launched the app, it had 8 400 users. Four…

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Q: 3. Carry out the following mathematical operations and report your final answer in the correct…

A: The objective is to solve the mathematical expressions.

Q: Evaluate the following: π 1.² (cot 20 + csc 20) de 6 TU cost 2. S1-sint 2 dt

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

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

A: Topic:- application of integration

Q: (D² - 2D + 1)y = 0; when x = 0, y = 1, Dy = - 1.

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Q: X -dx 3. Using a suitable change of variables, determine the indefinite integral: √1 x² [ (sin² x)…

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Q: 3 2. x1 + x² dx

A: Definate integration

Q: If = (-12, 4, 8) the position vector of u is......

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Q: 6. Find of z = In(xy) 8²y

A: Given:       z=lnxy     ∂z∂y=∂∂ylnxy  Treat x as constant  Apply chain rule:…

Q: cln x e L L ² L the we Evaluate yez dz dx dy.

A: Given problem:-

Q: The graph CC of the equation y = gives the course taken by an oil tanker after leaving port, which…

A:

Q: Which of the following correctly represents the plane region in the first quadrant bounded by the…

A:

Q: Q2: A. Determine if p = 1-3k and q = 61-3j-4k are parallel, orthogonal or neither. B. Find the…

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Q: A 5-pound monkey is attached to the end of a 30-foot hanging rope that weighs 0.2 pound/foot. The…

A: Given problem:- A 5-pound monkey is attached to the end of a 30-foot hanging rope that weighs 0.2…

Q: Q2: A. Determine if p = ï-3k and q = 61 - 3j-4k are parallel, orthogonal or neither. B. Find the…

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Q: Determine whether the series Σ n=1 convergent, or divergent (−1)” 7n-5 is absolutely convergent,…

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Q: a. Find an equation of the tangent line at x = a b. Use a graphing utility to graph the curve and…

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Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: We have to find the rate of change of angle.

Q: Evaluate the following determinant by using row-operations. Carefully -1 3 4 -10 -4 A -> -4 -8 9 6…

A: To find the determinant of the given matrix A.

Q: Evaluate the integral. (Use C for the constant of integration.) It t sin(t) cos(t) dt

A:

Q: A given partial fraction B can be evaluated as: A) 7/35 B) 8/85 6/23 D) 13/85 2x (x-1)(x+4) (x²+1) A…

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Q: Write the equation of the line. == (0, 2) is on the line. Select one: O a. -3x + 5y = -10 O b. 5x -…

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Q: H.W : Prave the orthogonality. Conditions for the Sine and casine functions....

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Q: Let f(x) = 2x³-9x² - 24x+2. a. Find all points on the graph of f(x) at which the tangent line is…

A: Topic = Derivative

Q: For the given function f(x,y)=x²y³+3x³y, find a flay

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Q: Find the lower sum for f(x) = +4 on the interval [-4, 0] using 2 rectangles. 10 "F Submit your…

A: Here we have to find the left sum of given function.

Q: In a statistics course, a linear regression equation was computed to predict the final-exam score…

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

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Q: (D² - 2D + 2)y=e²x (cosx - 3sinx)

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Q: Let f(x) = 2x³ - 3x² - 120x+7. a. Find all points on the graph of f(x) at which the tangent line is…

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Q: A region is bounded by the y=x² and y=6x-x² Which of the following integrals would approximate the…

A: We can solve this as follows:

Q: π A region in the first quadrant is bounded by the curve y = 1+ sin²x, the coordinate axes and the…

A: Given problem:-

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: y = 2 sin 3x 1+3 cos2x

A:

Q: The graph C of the equation y = gives the course taken by an oil tanker after leaving port, which is…

A: Here we have to find the arc length.

Q: Find the area bounded by y=-x²+1, y = −2x+2, x=-2, and y=2. A 16/3 B 5 None of these D) 4/3 E) 1/3

A: