1. (5 points) Given the equation of a circle 2x2 + 2y2-32x + 12y + 90 = 0 Rewrite it in the standard form (x- h)2 + (y - k)² = r² where r> 0.

Q: The values of two functions, f and g, are given in a table. One, both, or neither of them may be exp...

A: Let's find. 

Q: x'dy +(2xy – y* kdx =0 2. Let the substitution y =2 y = vx, dy=vdx+ xdv

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Q: 213 +1 dt 3 (* +2) 1.

A: Solving the problem by doing the substitution.   NOTE :: As per our Expert guidelines we are suppose...

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Q: Find two of the vertical asymptotes of y = tan( 2x - -).

A: We have to find the two vertical asymptotes of y=tan2x-π3.

Q: Given the differential equation y" + 4y' - 12y = 10x2 + 7 And the Solutions to its Characteristic Eq...

A: NOTE: Refresh your page if you can't see any equations. . given characteristic solutions are  for ...

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Q: Find the arc length of the curve y 1 on the interval [1, 2]. %3D 4x2

A: Given:    y = x4/8 + 1/4x2   Interval : [ 1 , 2 ] 

Q: d²y Solve: dx2 dy + 42+ 4y = 4x²e¬2x, cos 2x %3D dx

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Q: If f(-2) = 2, write an ordered pair that must be on the graph of y = f(r + 4) – 3

A: Ordered pair represents the position of a point. X axis represents the left or right position , if l...

Q: f(z) can be written in the form of g(z) 47x + 2 The partial fraction decomposition of 12:2 + 5x – 2 ...

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Q: Use the position function s(t) = –4.9t* + 250, which gives the height (in meters) of an object that ...

A: It can be solved using simple differentiation and limits.

Q: Ier. 3. Find the equation of the line through the point (0, 1, 4) and perpendicular to both the vect...

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Q: Evaluate each of the following indefinite integrals. (a) J5t – 10t-6 +4 dt (d) Say (b) Jx° +x° dx w+...

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Q: 9. Use the Intermediate value theorem to show that f(x) = 2x( – 3 has a zero in the interval [1,2].

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Q: Given the differential equation and its initial conditions y" + 8y' + 15y = 7x? - 10 with y(0) = 4 a...

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Q: Q.1 Find all values of x, at which f is continuous and discontinuous. x²-9 f(x) = x-3

A: As per our company guidelines, we are supposed to answer only the first question. Kindley reposts ot...

Q: Agree. Disagree 4. If lim f(x) = 0o, then lim f(x) does not exist. Justify:

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Q: 3. Find the equation of a curve for which y" = 6x - 4 and which passes through (1,2) and (-2 ,5). 4....

A: 3.y''=6x-4 and which passes through (1,2) and(-2,5).4.f''(x)=12x2+6x-4 and f(0)=4 and f(1)=1.

Q: 2.- In the following problem, use properties of the definite integral, either definitions or theorem...

A: Follow the procedure given below  

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded from above by the g...

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Q: Pumping Liquids From a Container An engineer, for example, may want know how much work is required t...

A: we can solve this question with the help of integral  we took an element  of thickness dy in the con...

Q: Homogenoys Equations: Evaluate the DE xdy+(2y-x)dx=0

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Q: 1.)(x + 2) * t * a * n * y * d * x + (x ^ 2 - 2) * csc(y) * d * y = 0 2.)(y ^ 2 - xy) * d * x + (xy ...

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Q: The points on the diagram below are equally spaced. a. What is the angle measure of point F from sta...

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Q: Evaluate tan xdx O -V2 0 2 In 못 2 In 꽃 O -2 1n v2

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Q: 1. Find the order and degree of the differential equation: dy +5 dx 4 14 sin x. dxº

A: Given- d9ydx9+5dydx4=14sinx To find- order and degree of given differential equation

Q: Solve the following Linear Equations 1. x+7=11 2. n-3= 10 3. y+8=4 4. 8y = 48 5. 1- -4 6. 15 =4 7. -...

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Q: A car is travelling at 72 km/hr. At a certain instant its brakes are applied to produce a constant d...

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Q: a) a fonction f (xy) is homogeneous of degree 7 in X and y it and only it

A: As per bartleby guidelines we only give first question answers. 

Q: 5x' –2y' 2. The function f(x, y)= is homogenous in x and y of degree 8x +3y 3. The function S(x, y)=...

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Q: .A: The integral of the following function: In(sin² x) dx tan(x) ay be expressed as: A In®(sin x) + ...

A: Topic:- integration

Q: 9. 4. lim X-3 x2 - 9

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one que...

Q: x^2y=4+Cy Eliminate Arbitrary Constant

A: Here we will eliminate arbitrary constant,  

Q: dx Evaluate 4+x² ° x dx 4+ x2 Evaluate 88

A: Given that: ∫-∞∞dx4+x2∫0∞xdx4+x2

Q: Substitution in the Definite Integral Suppose we want to evaluate the definite integral, 6 cos? z si...

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Q: n 2. Determine whether the sequence a, is a monotonic bounded sequence. n2 + 1

A: Given that: an=nn2+1

Q: Agree. Disagree 5. If lim f(x) # lim f(x), then lim f(x) does not exist. Justify:

A: Let's find. 

Q: ydx = x + Vy² – x² dy

A: Given that: ydx=x+y2-x2dy

Q: /16 Evaluate the integral: dx 3x2 (A) Which trig substitution is correct for this integral? x = 4 se...

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Q: If f (x) = x-x, show that 2.

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is ...

Q: Q)In 1973 a town's population was 382. By 1998 the town had grown to 864 people. Assuming the same e...

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Q: y'dx-(xy + y* kty = 0 1. Let the substitution v=2; y= vx; dy = vdx+ xdv

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Q: В D A

A: Topic = Triangles

Q: 2(x° + xy* + v)dx + (2x°y³ + 4xy° + 2x°y + x*y +2x)dy = 0: y(2) = 0 3.

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Q: 1 (i) lim 3n2 – 4000 のlim(- 2n2 +10000 X00

A: Topic:- calculus

Q: 3. The function f(x, y)= 8x' - /4x° +3y° is homogenous in x and y of degree 4. The function f(x, y) ...

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Q: If dy = (2x – 5)dx and y = 2 when x = -1,find y when x = .

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Q: Q2: Shear the following object along y-axis, shy = 3 (4,6) 6. 4. 3. (2,3) (4,3) 1 3 5 Q3: A line def...

A: note: as per our company guidelines, we are supposed to answer only one question. kindly post other ...

Q: Find the volume of the solid generated by revolving the region bounded by the |2x| about the x-axis....

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