Q1 Find the distance between the points A (2, -5, 7) and B (-3, -1, 6).

Q: 3. lim(x²+x-6) X-0 X f(x) ?

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Q: The question was 1+9+25+49+81.....+121

A: 1+9+25+49+81.....+121

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: 4. im [(x-4)(x+6)] A. -8 B. 9 5. lim, [(4)(x-25x-5)] A. -35 B. 30 A. 11 B. 10 C -9 C. -32 C. 9 5 D.…

A: (4)  limx→3x-4x+6=limx→3x-4limx→3(x+6)                             =3-4(3+6) limx→3[(x-4)(x+6)]=-9…

Q: Sketch two periods of the graph of the function p(x) = tan (x period, and asymptotes. Enter the…

A: In given graph period of function is pi. Stretching factor is 1

Q: Q4. Evaluate the following limits. 1) 2x+y-4 lim (x,y)-(1,2) √√2x+y-2 x²y-xy² lim (x,y)-(1,1) x2-y²…

A: Here given that a limit problem and we solve this problem by using general property of limit.   Here…

Q: 4x 10. Find all vertical asymptotes for the rational function f(x) = x²-144 11. Find all of the…

A: We can solve this as follows:

Q: 1. Evaluate the lim [In (x)] using table of values. Table A (for x values that approaches 1 from the…

A: SOLUTION-

Q: B 1. Find the eigenvalues and eigenvectors of A = 3 linearly independent? Why? -2 -3). Are the…

A: This is a problem related to matrix operations. Based on the general formula and concept we will…

Q: Evaluate f sin √r dr

A: Topic = Integration

Q: I need the third derivative for all of the following functions: f(x)= + 1 + x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: find: Seos nit dt findo S sinnat at

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Q: Find the equation for any horizontal asymptotes for the function below. f(x) = 5-8x+x² 4+5x+2x²2² CO…

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Q: R: y = 6x x² and y = x² - 2x.

A: Let's find Area of region.

Q: Find curl F if F(x,y,z) = 16y5₂5i - 8x³₂8 j- 7xy4k. O curl F = (-28xy3 +64x³₂7)i + (7y4 + 80y5z4)j +…

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Q: x= 2y2-2y y 0 x = 12y² — 12y³ - X 1

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Q: 1 Evaluate the integral of ₁dx for P > 1, and determine whether it is convergent or divergent. xP

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Q: 3 4-x 3 it (x₁ + ³x) ₁ find the slope of the secant line PQ (correct to six decimal places) for the…

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Q: On what interval(s) is the function g(x) = −x¹ − 2x² increasing and concave down? To advance in the…

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Q: What is the divergence of the vector field F of F(x,y) = x² i + 2y²j?2 div F = 2x + 4y div F = 4x +…

A: Given: F→=x2i+2y2j

Q: Q1: Answer 2 branches only A. Find the general solution of the following Initial Value Problem…

A: Given :y''-2y'-3y=5cos2t

Q: A- The result of the follo 2x² + 3x lim xxx³+x+1 02 Oo O 1 O infinity

A: To find: limx→∞2x2+3xx3+x+1

Q: 5 Find the equation of the line with y-intercept 7 and slope 9 ||

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Q: The result of dy/dx for the following function is COS X y = 1+sin x

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Q10. Consider the surface z = x²y + y - 2. At the point (2,1,3), find the following: 1) The equation…

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Q: Q3) Find an equation for the line which is tangent to the curve y = (1-x)(1+x) at the point where…

A: We can solve this as follows:

Q: 3. 3x²y dx - (x³ + y³)dy = 0, y(1) = −2

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Q: A graphing calculator is recommended. If a ball is thrown into the air with an initial velocity of…

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Q: (x − 2)2    if x ≥ 1. (a) Find the following limits. (If an answer does not exist, enter DNE.) lim x…

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Q: y' = X y+x²y , y(0) = -2

A: Given differential equation: y'=xy+x2y, y0=-2To Find: solution of the differential equation

Q: 4.[(5x³ 5.Ĵ(6x² − 2x² +4x)dx − 3x+1)dx

A: Topic = Derivative

Q: 5x²-3x+2 x³ - 2x² 4. Use the method of partial fractions to evaluate ·[³ d.x.

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Q: 6- find the second order partial derivative's of the function: z = x sin sin (x²y)

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Q: 2. A spring has a natural length of 2 ft, and a force of 15 lb is required to hold it compressed at…

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Q: a. Create a table of signs for f' and f". Identify the intervals where the function is increas- ing…

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Q: Match each of the following with the correct statement. C stands for Convergent, D stands for…

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Q: The graph to the right is a graph of a polynomial function. (A) What is the minimum degree of a…

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Q: The toll T charged for driving on a certain stretch of a toll road is $3 except during rush hours…

A: a) Given that, the toll T charged for driving on a certain stretch of a toll road is $3. The toll…

Q: Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in…

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Q: Use the trapezoid rule with n = 60 to approximate the sum in addition to providing the…

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Q: slope the line that passes through the given points. point-slope form of the equation of the line.…

A: We will solve the problem.

Q: Q5: Find the domain and range for the following functions A- for the function below, the domain and…

A: To find the domain and range for the function given below.y=x-2

Q: Question 5 Use Pascal's triangle to expand your binomial expression. A (1 + x)³ B (1-x)³ C (1 + x)4…

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Q: ermine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that…

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Q: 2. Stan.xdx

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Q: A. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e at y(0)=1 and y (0)=2

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Q: Graph the equation in a rectangular coordinate system. y = 3x-8 Use the graphing tool to graph the…

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Q: If a ball is thrown into the air with an initial velocity of 50 ft/s, its height in feet after t…

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Q: D-the result of the following limit is 1² lim x-0 In (sec x)

A: Let's evaluate given limit.

Q: The population of a slowly growing bacterial colony after tt hours is given by…

A: