Find the equation of the curve at every point of which the tangent line has a slope of (1+y^2)/2xy which passes through (2, 3).

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Q: Write an equation for a sphere centered at the point (4,7,2) with radius 5.

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Q: f'(x) = x²¹ - 2x² x¹2x² 2x−² + 1; f(1) = 5

A: Given that f'(x)=x-1-2x-2+1 -(i)Also given that f(1)=5.Our Aim is to calculate the antiderivative of…

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Q: Evaluate the following improper integral if it is convergent. S 13 -dx x In x Select the correct…

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Q: In Problems 67-72, find the absolute maximum and minimum, if either exists, for each function on the…

A: See this solution in below

Q: 2. Find the area of the region inside the cardioids r = a(1+cos 0), a>0

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Q: Consider the triple integral of f(x,y,z)=(z²)(x²+y²+z²)¹/² over the solid region S where z is…

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Q: : Evaluate the integral: √2 3y 8-x²-y² 1. JIJ 00x²+3y² dzdxdy

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Q: Determine the area of the shaded region. 70. 15 4+ 3+ 2- 1 이 12x - x2 2 becodelating onesyde, −12 +…

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Q: Find all solutions of the equation 2 cos 3x The answer is x₁ = = 1 in the interval [0, π). , x₂ =…

A: The given trigonometry equation is: 2cos3x=1 To find the solution of the equation in the interval…

Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

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Q: Let T be multiplication by the matrix A, find the rank and nullity of T. 1 1 3 A = 6 7 -4 58 rank…

A: We have to find the rank and nullity.

Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

A: This question is based on conversion of polar to rectangular form.

Q: Let C be the curve y 12 11 10 9 8 7 6 5 15 4 + 25 1 3x for 0.6 x ≤ 3.7. Find the arc length of C…

A: Given that curve y=x34+13x  for 0.6≤x≤3.7Solution : y=x34+13x y'=3x24-13x2Simplify…

Q: 8. The area of the triangle whose angles are 61 9'32", 34°14'46", and 84°35 42" is 680.60. The…

A: Area of triangle and sine rule are used.

Q: The value of the definite integral 2 [²4x 4x³ dx

A: Given integral ∫12  4x3  dx we use the formula ∫ xn dx=xn+1n+1+C    ; n≠-1

Q: Use the graph of f(x)= ex below to complete part a and b below. a. Find lim ex. X-18 lim e 8118 b.…

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Q: The intervals on which f(x) = x² ln x is increasing and decreasing, and the intervals of concavity…

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Q: Find the cross product x where = 71-7j -4k and 7 = (-4,-3, 4). úxv=

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Q: Q4: Show if the series is convergent or divergent cos(n) n√n n n=1

A: The given series is ∑n=1∞cosnnn. We have to check whether the series is convergent or not. We use…

Q: Find the distance from the point (-4,3,-2) to the yz-plane.

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Q: Q1/ A- Represent the following data in a graph using the bar graph method. temperature today…

A: the graph is given below on x axis day represent  on y axis temperature represent   x axis - scale -…

Q: H.W: Use the chain rule to find the derivative of w= x² + y² with dw with x = cost+ sint, y = cost -…

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Q: Question 4 > 18/17-16-15-14-13-12-11 -18-9-8 -6 -5 -4 1-3 -2 -/ f(x) = 5 4 3 2 ma -2 in your The…

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Q: Find the radius of convergence for: 3 (n!) ³ (3n)! n=1 xn

A: Recall that the radius of convergence for a series ∑n=1∞anxn is R=limn→∞anan+1

Q: Given g(x) = 9x + 5x, answer the following: Part: 0/3 Part 1 of 3 (a) Find g (-x). g (-x) = 0⁰ 0101

A: A function g(x) is even if g(-x)=g(x). A function g(x) is odd if g(-x)=-g(x).

Q: Use R6 to determine the area under the curve for f(x) = (2-1) on [2,5].

A: Given that fx=1xx-1 To find : Area under curve of fx on 2,5Solution :

Q: For the function graphed below, find the values of x at which the derivative does not exist. (Enter…

A: Solution : Given that the figure is

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: O Evaluate Je*+1 dx

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: The Taylor series for f(x) = x³ at 4 is Σ cn(x − 4)". n=0 Find the first few coefficients. CO C1 =…

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Q: True or False: We have Select one: O True O False 0 8 √xdx = 12.

A: Let's solve given integral.

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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Q: 5. r² = 1 2

A: According to the question, we can answer only first question and rest can be reposted.

Q: Solve the system of equations by any method. 2x+8y=18 x 4y=-9 Enter the exact answer as an ordered…

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Q: 11-x 1 SS S S dydzdx 00 x+z 2.

A: Follow the procedure given below.

Q: A cell phone plan charges $49.55 per month plus $14.02 in taxes, plus $0.60 per minute for calls…

A: Need to write down the piecewise function.

Q: The value of the definite integral 3 [² (3x² S is (3x² - 2x + 4)dx

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Q: True or False: The definite integral is equal to Select one: O True False 1² (x² + 3e*)dx [²x²dx + 3…

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Q: Question 1 C(0, -3,-1). Consider the points A(2,-1,0), B(3, 0, -2), and (a) Find the equation of the…

A: Given

Q: DE 1. xy(5) y(4) + x²y"" = 2yy' TYPE ORDER DEGREE LINEARITY

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Q: cos² (x) + cos² (1) (x) cos³ IF .dx

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Q: dentity the type and determine the linearity of the given differential equation, and also give its…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: Q1/ A- Represent the following data in a graph using the bar graph method. temperature [ today] 27…

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Q: Sketch the graph of a function that satisfies the following conditions

A: Given

Q: Question 11 If sin(0) = 7 and is in the 3rd quadrant, find cos(0) cos(0) = Enter your answer as a…

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Q: Find the area of a triangle PQR, where P = (6, 3, 5), Q = (0, 4, — 3), and R= (-6, -1, - 5)

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Q: Use integration to find the area between the functions y = x² and y = 3x + 4. Show your work. -4 YA…

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Q: Let f(x) be a piecewise function. Evaluate So fl f(x) dx = = if x < 2 2x-3, if x ≥ 2 (3x²+2,

A: Topic = Integrate