Find the center (h, k) and the radius r of the circle 4x2 + x + 4y? + y – 10 = 0.

Q: If A = and B = find AB, BA, A? = AA, and B2 = BB. (If an answer does not exist, enter DNE into any…

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Q: 6. gx) VX- 3 at x = 4 三 7 g(x) at X = 8 三 e1 gCX)= n4ーメ at x =0

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: This question can be solved using the concept of equation of line in 3D geometry.

Q: 72 (29.4) Determine whether the series (-1)" is absolutely convergent, condi- n2 + 1 n=1 tionally…

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Q: Consider the following functions. f1(x) = 3 + x, f2(x) = x, f3(x) = x2 g(x) = c,f,(x) + czf2(x) +…

A: Let's find.

Q: (30.4) Apply the ratio or root test and state whether the series is convergent (2n)! n=1 or…

A: Given:     series ∑n=1∞12n!     Split the series:     =∑n=0∞12n!+∑n=00-12n! Since the bounds are…

Q: Find the area bounded by these curves. (All choices are in sq. units) y = x 4x +y = 12

A: Here, the is a line passing through the origin. And,  4x+y2=12⇒4x=-y2+12⇒x=-14(y-0)2+3 which is a…

Q: Give the curve r = 3 cos 0 b) Find the points on the given curve r = 3 cos 0 where the tangent line…

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Q: Given the plane i = (-2, 1,5) + s(3, -2,0) + t(1, 1, 5), s,t € R. The plane cuts the x, y and z-axes…

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Q: Solve the differential equation by variation of parameters. 2y" — 4y' + 4у %3D е* sec x y(x) = %3D

A: Solution is given below:

Q: Find an equation of the plane that passes through the point P(-8, –4, 7) and has the vector n = (-2,…

A: Given problem:- Find an equation of the plane that passes through the point P(-8, -4,7) and has the…

Q: Find * 4xe²? dx. e2z² + 2ez² +2 -2tan-1(e*² + 1) + c 2tan-1(e* + 1) + c O Option 2 Option 1…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find the arc length in the second quadrant of the curve x23 +y2/3 = 25 from x = - 125 to x = – 8.…

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Q: Find the volume x=y-y2; x=0 revolving at y-axis

A: Given problem:- Find the volume x=y-y2 ; x=0 revolving at y-axis

Q: Si sin“ (3y) cos® (3y) dy 128 2340135 128 780045 O 9.64 x 10 4 O 2.89 x 10 3

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Q: Discuss the continuity of the function on the closed interval. Function Interval 9 - X, f(x) = [-3,…

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Q: (2.4) What is the height of the ball when its velocity is one-half the initial velocity?

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Q: Find the area bounded by these curves. (All choices are in sq. units) Y1 = (x – 2)? Y2 = x

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Q: 7. The function f (x,y,z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical…

A: 7. The function f(x, y, z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical…

Q: A snowball is thrown upward from a bridge into a river below. The function f(t): above the surface…

A: f(t)=-16t2+47t+88t=0f(0)=88gives the bridge's height.Brige's height =88 feetB)When the snowball hits…

Q: Write TRUE if the statement is true, otherwise, write FALSE. 4. Suppose P and Q are both…

A: We have to find statement is true or false. In mathematical logic, a tautology is a formula or…

Q: (cof 5X + CSC 5Xdx

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Q: Find the linear approximation of f(x)=lnx at x=1and use it to estimate ln⁡(1.3) L(x)=? ln 1.3≈?

A: First find the linear equation at x=1  then find the approximate values

Q: Answer the following about the function F(x)=x^4-24x^2+700. Justify all your answers. A. Find the…

A: Given

Q: Given that dx = m. a) Find [g(x) – 8] - 8] dx. [Select ] b) Find 3g(x - - 3) dx. [Select] | g(x) da…

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Q: Evaluate the limit. t3 + 13 sin (t) lim (Give an exact answer. Use symbolic notation and fractions…

A: The objective of the question is evaluate the limit of the given function.

Q: Find an equation of the plane through (0, –9, –1) that is perpendicular to the line x – 2 = 3t, y+3…

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Q: Consider the parallelepiped with adjacent edges u = 3i + 4j + k v = i+j+ 4k w = i+ 9j + 6k Find the…

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Q: Šolve the following problems completely and accurately. Part 1: Solving Differential Equations (1)…

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Q: Given the function f(x) = – 3z² f(r + h) – f(x) h Find the difference quotient Find f'(x) by…

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Q: Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given…

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Q: The indicated function y,(x) is a solution of the given differential equation. Use reduction of…

A: Here, De can be written as: y''+14x2y=0⇒P(x)=0, y1=x12ln(x)

Q: A. Integration By Parts 1. ſx5Vx3 + 1 dx 2. S/* x sin 2x dx 3. S- x³ex? -dx (x2+1)2

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: 1 Suppose that L is a location function of an object, given as L(t) = We will compute the 3t – 2…

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Q: Given .5 8 | f(=)dz = /f(2)dz + f(2)da – | f(a)da, -6 6 what are the limits of integration a and b?…

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Q: Units

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Q: Find the vector component of v = 2i -j+ 3k along b = 3i + 6j + 6k and the vector component of v…

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Q: Evaluate * Vx² – 1 dx.

A: Given,  ∫ x2-1x2dx

Q: Find dx (9x² + 16 1 1 - In |3x + V16 + 9x²| + c -In |3x – V16 + 9x²| + c Option 2 Option 3 1 1 In…

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Q: 5. a. Write in your own words a definition of a complex numbers and Modulus of the complex number.…

A: 5. a. The complex number can be considered as a vector pointing towards a point in 2-D space, where…

Q: Find * dx | 473 + 4x² +x 1 In|x| + In|2x + 1|+; 2x + 1 -In/x| + In|2x + 1| – 2x Option 2 Option 4

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Q: Solve the following differential equations using the method of undetermined coefficients. y" – 3y" +…

A: This is a problem related to second order differential equation. Solution will be conjunction of…

Q: The sum of 2 numbers is 15. Find these numbers if their product is a maximum

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Q: Let f(x)=x^3-2x^2-4x+104 on the interval [0,3]. A. Find all crirical numbers of F(x) inside [0,3]…

A: We have to calculate absolute maximum and minimum.

Q: Question Is S (;x² + 5x + C)dx = 3x + 5 correct? %3D CLAIM EVIDENCE REASONING

A: ∫  3x2/2 +5x +cdx now integrate it 3x3/6 + 5x2/2 +cx +c x3/2 + 5x2/2 +cx +c this is the answer  so…

Q: Question 5 Determine the magnitude of the com

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point:…

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