Question C.) - hit In n 231 n

Q: Find the general solution of the following 2nd order differential equation: y* +2y + 2y = 0

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Q: ог Question A.) Does this CONVERGE • DIVERGE ? (~) ² M nal

A: To determine whether the given series converges or diverges.∑n=1∞ln n2n

Q: The following chart shows student population in a certain elementary school over a 5 year period.…

A: topic- average rate of change

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

A: Given: sec2xdx

Q: A 60-m climbing rope is hanging over the side of a tall cliff. How much work is performed in pulling…

A: We have to find work done.

Q: y = 2 sin 3x 1+3 cos2x

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

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Q: 3. 4. If =(-12, 4, 8) the position vector of u is.............

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Q: 14) lim

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Q: 5TT Convert the polar coordinate 9, 3 X = y = to Cartesian coordinates.

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Q: Rewrite the polar equation r = = 6 sin(0) as a Cartesian equation.

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Q: By using Interval Halving nethod, If the lies in the nterval [1,2], e=0.02the oot of the f(x)=x^2-3,…

A: Follow the procedure given below.

Q: Used Cramer's Rule to find the value of the variables (X,Y,Z) in the following equations x + 2y + 3z…

A: The objective is to find the value of the variable x, y, z by using crammer's rule.

Q: egion in the first quadrant is bounded by the curve y=1+ sin²x, the coordinate axes and the line x==…

A: Topic:- application of integration

Q: 5x +34 if x - 6 2 if x = -6 Select all statements below that you agree with. Note: You may be…

A: We

Q: The angle between vectors A = 91-j+5k and B = (-2,7,1) is.. ******

A: According to our terms and conditions,we can only solve one problem at a time. So please repost the…

Q: Find a + b + c. The Maclaurin Series for f(x) = ln |3 + 4x is: f(x) = lnb + 26 + Σ'()"

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Q: Q1:Discussion a continuity of the function f(x,y) sin x (x, y) = (0,0) f(x, y) = x (x, y) = (0,0)…

A: To find whether given function is continuous at (0,0) or not.

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: Problem 7 x√x + 1 dx

A: Given ∫07xx+13dx

Q: -1 2 (x² +1) dx

A: To evaluate: ∫x6-1x2+1dx Let I = ∫x6-1x2+1dx Using polynomial division we get  I = ∫x4-x2+1-2x2+1dx

Q: The water level inside a cylindrical tank (height 12 ft) is 2 ft below the top of the tank. If the…

A: Explanation of the answer is as follows

Q: Enclosed by x² + 4y² = 16

A: We have to find area bounded by given curves.

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

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

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: Find the absolute maximum and minimum values of the following function on the given interval. Then…

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Q: s Given : 1 value of AB 3 A 72 40 8x + 1 20 3 280 3 4x - 3 dx. If we let the substitution" = 4x-5 ,…

A: To find out the required answer.

Q: Q3: Fill in the blanks in the following: 1. If a=(3,-2, 6) and b =(4,-1,-6) the axb = ********* 2.…

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

Q: y = Arctan 2+x 1-2x

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

A: SOLUTION-

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

A:

Q: Convert the point with polar coordinates 9, 3 The point is: C M 2 3 4 5 6 wend W е t 1 9 C $ % Oll y…

A: Given query is to convert polar to rectangular coordinates.

Q: HOMEWORK 16: Graph the following equations. 6. r = sin + 2cos² 0 7. r² = sin 20 - 3cos

A: we have to graph the given polar coordinates. let r is on x axis and theta on y axis.

Q: If g'(6) = 6 and h'(6) = 19, find f'(6) for f(x) = f'(6)= (Simplify your answer.) () = g(x) + =…

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Q: An elliptical plate, major axis 6 feet and minor axis 4 feet, is submerged vertically until its…

A: Follow the procedure given below.

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

A: Topic:- derivatives

Q: dy Use implicit differentiation to determine given the equation x² + y² = 9. d.x dy dx =

A: In implicit differentiation, we differentiate each side of an equation with two variables (usually x…

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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: In pair, study and find the integral of the following functions. You will be awarded marks for each…

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

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Q: Using Cramer's Rule to solve (if possible) the system of linear equations 1 A -10 1 B 11 N SSSUSU…

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

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Q: (D² + 3D + 2)y= sin ex

A: The given differential equation is  (D2+3D+2)y=sinex

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

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

Q: Find y" 13. y = x²sin (3x)

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Q: Find the area bounded by the following functions/lines/curves: f(x) = 3x3 - x2 - 10x; g(x) = -x2 +…

A: Given: f(x) = 3x3 - x2 - 10x; g(x) = -x2 + 2x Let's first find the intersection point  3x3-x2-10x =…

Q: (d) Let an = 6n²+ n-1 ntn and bn √n n+1' (i) Determine whether {an} is convergent or divergent.…

A: Given;  an=(6n2+n-1) /(n2+n)  bn=sqrt(n)/(n+1)

Q: 1 S²₁x² ex³ dx 1

A: