Write the standard form of the equation of the circle with the given characteristics. endpoints of a diameter: (3, 4), (7, 8) O (x+ 5)²+(v+ 6)² = 8 O (x+ 5)? + (y– 6)² = 340 O (x- 5)? + (v+ 6)² = 340 | O (x- 6)+ (y– 5)² = 8 %3D O (x– 5)² + (y– 6)² = 8

Q: d²y 4y 3e2x. %3D dx2 3.

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Q: sin (:) tan r 2. Find the derivative of f(r) = using logarithmic %3D differentiation.

A: To find the derivative of fx=sin31x tan x5π-x5e2x using logarithmic differentiation.

Q: txH Find Maty min Satle ex

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Q: Find the root of f(x) = e–x – 5x after two iterations of the simple fixed-point iteration method wit...

A: Here we have to use the fixed point iteration method

Q: Evaluate: 1 dx 2(х — 1)? 1 О а. + C 2(х-1) O b. * + C 1 2х + C 1 d. + C 2(х-1)

A: The integration of the integral is 1/[2(x-1)2].

Q: The energy expended by a bird per day, E, depends on the time spent foraging for food per day, F hou...

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Q: Find the general solution to the differential equation y''-4y'=8-16x

A: y"-4y'=8-16xf(D)=D2-4DAuxillary equation :m2-4m=0m(m-4)=0m=0,4m1=0 , m2=4

Q: Find the angle 0 between the vectors in radians and in degrees. u = (2, 2), v = (4, -4) %3D | (a) ra...

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Q: if cosh(x)=41/40 and x > 0, find the other hyperbolic functions of x

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Q: Let y = xlog, (x) Then dy %3D dx

A: Given, the function                                  y=xlog5x then we have to find dydx.

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-7, 5, ...

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Q: Question 5 Find the value or values of c that satisfy the conclusion of the mean value theorem in th...

A: Use mean value theorem

Q: Find the Maclaurin series of each of the following functions by using one of the series listed in th...

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Q: x-8 Find the interval of the continuity of the function f(x) = x^e*+ V*- In(x-2)

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: S cot5xdx

A: Solve the integration

Q: 1. Which of the following is true about the limit of a function described by limf(x)? a. The limit o...

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Q: In the given first-order differential equation below, (ху?- х)аx- (x?у+y)dy-D0; y(1) -2 (i) Identify...

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Q: If xy+Iny= x²y, compute y 2xy? +y2 y = - xy+2 – x²y O A. O B. None of the other choices OC. 2xy2-y? ...

A: We have to find y' for the given expression                                                         ...

Q: / Find the Area Suside the Cirdle r. JZ ond oat side The The Cuurne r 2 Gs) O plt The funetione 2 Fi...

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Q: 1. Find the centroid of each of the given plane region bounded by the following curves: y = 10x – x²...

A: We know that; The expression for the centroid is: x=1A∬xdydx & y=1A∬ydydxWhere;Area=A=∬dydx   Gi...

Q: How would I write six different iterated triple integrals for the volume of the tetrahedron cut from...

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Q: 69 -24 A) -24 Solve lim B) 4 9+2 2-9 C) 24 D) -

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Q: 16.

A: Topic:- integration

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Q: 9. A rancher has 400' of fencing with which to enclose two adjacent rectangular corrals. What dimens...

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Q: Cansider h(x)= Ilx? -6x = l|x? calculate Ha) 6 .x T1 3 (22r – 6) A) In(3)- 11 (22.r – 6)3** - (11z² ...

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Q: Consider the following differential equation - (8 – r) dr + 9rds = 0

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Q: An object moves with a constant acceleration of a=2m/s^2 without other forces intervening, one secon...

A: x(t) = x(0) +x'(0) t + 12 a t2a=2x(t)=x(0) +x'(0) t + t2x(1)=14 m14=x(0) +x'(0) +1x(0) +x'(0)=13  .....

Q: Use the Laplace transform to solve the given initial-value problem. у' — 5у %3D 6(t — 4), У(0) %3D 0...

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Q: Consider the points A(2, –3, 4), B(4, –5, 1), C(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of ...

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Q: Solve the linear differential equation of order one 2x(y−x^2)dx+dy=0

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Q: CHECK

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Q: In your notes, create an interval table for f(x) = x* - 8x? by testing values around the critical va...

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Q: 22+88

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Q: Question 6 The area of a square is increasing at a constant rate of 1 cm2/sec. How fast is the diago...

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Q: Given that v = and w =. Find

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Q: Which of the following functions is continuous at x = 0? S x+1 if x 0 b. sin(x) if x 0 Ос O c. Non...

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Q: Let fun chan defined by g(2) = V Z+8' –-8, ts devivalie z+h+8- Vz+ 8 is equal to the expressian. A) ...

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Q: Consider the following. u = (1, -9, -7), v = (6, -2, 0) (a) Find the projection of u onto v. (b) Fin...

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Q: Find the angle O between the two vectors given below. 0%3(5,2)cnd v= (-6,-1). Ako drawa figure.

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Q: Find the center and the radius of the circle with the equation x2+10x+y2+8y−103=0   Enter the cen...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: We will find the unit vectors. 

Q: Find the unit vector in the direction of V v = -6.3i + 3.7j %3D u =

A: Topic = Vector

Q: Find the volume of the solid generated by revolving the specified region about the given line. R abo...

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Q: An open box is to be made from a 16" by 30" piece of cardboard by cutting out squares of equal size ...

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Q: Let d be a metric on X. Determine all constants k such that the following is a metrie On X (a) kd, (...

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Q: Write down an equation of the tangent line to the graph of 2x-3 f(x) = at a= – 1 %3D X+4 y 11 y= 6. ...

A: Topic: function and derivatives

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

A: The equation of the plane P which is normal to the vector n and passes through the point R is given ...

Q: Find the unit vector in the direction of v v = -6.3i + 3.7j u %3D

A: Let the unit vector in the direction of v be u.