solve the bernoulli equation dx +1x' + = 0 +tx dt

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Given dr=0.08 cm, d=65 metres r=d/2=65/2=32.5 metres Now convert r into centimeters r=32.5*100=3250

Q: Consider the parametric the curve defined by the equations x = t² – 2t + 2 and y = t² + t. (a) The…

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Q: 3) Solve the following equations over the given interval. a) 2 sin(8) - 4 =-2 sin(0) over [0,27) b)…

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Q: n3 - 2 Lt 2n' + 3n – 4 Find n+00

A: Given query is to find indicated limits.

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

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Q: Evaluate the limit. (Use decimal notation. Give your answer to two decimal places.) cot(7x) lim x→0…

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Q: Use the first principles definition of the derivative to find f'(x) where f(x)=3x2 - x

A: This question can be solved by applying the concept of limit which is used to define the first…

Q: dy a. Use implicit differentiation to find .xp b. Find the slope of the curve at the given point.…

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Q: Find the absolute extrema of the function on the closed interval. f(x) = x³ - x?, [-3, 2] minimum…

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Q: SOLVE THE FOLLOWING INDETERMINATE FORMS x' -x? - 8x +12 Lim 1. X→2 3x' -10x² +4x + 8

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Q: Let Z1 -2V3 – 2i and z2 = -1 + iV3 • Z2 Find the product: z1 • Z2

A: To find the product of the given complex numbers.

Q: Suppose r lIs a differentiable function of x and y, and g(u, V) = (e sin(V), V)). Use the table of…

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Q: 27 Зx dx

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Q: How 2 Find the absalute maxima and minima for the funchion 3 2. f(x,y) 48xy -32 x-2u yen the…

A: since f(x, y) is a polynomial, it is continuous overthe given rectangular region D.So, f(x, y) has…

Q: A fencing is limited to 120ft length. What is the maximum rectangular area that can be fenced in…

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Q: Calculate the real values of x and y such that (x+jy)^3 is real and [x+jy] is 8.

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Q: Y = x**

A: Given query is to find the derivative.

Q: Use implicit differentiation to find dz/dx and dz/dy. yz = 2 In(x + z) dz ax ze dy II II

A: Consider a function f(x,y,z) .Then to find ∂f∂x ,differentiate f with respect to x taking y and z as…

Q: sint dt de + 0 cos t – tan t

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Q: 3. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALC9 3.9.533.XP. MY NOTES PRACTICE ANOTHER Find the most…

A: Kindly see the below attached solution

Q: Determine limx→−2 6/x-2, if it exists

A: limx→−2 6/x-2 yes limit exist and we can direct apply the limit so put -2 in given function…

Q: Find the volume of the solid generated by revolving the area of circle: (x-2)²+y²=4; about the x…

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Q: Find the second derivative of g(x) = sinh(x) cosh(x)

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Q: y = cosx sinx

A: Given query is to the derivative of the expression.

Q: Question For the function f (x) given below, evaluate lim f(x) and lim f(x). X00 X-00 f(x) = 6 cos…

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Q: 3n! 3n! Find lim State whether 2n=1 converges or diverges. n→∞ 4n!-1) 4n!-1

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

A: Explanation of the answer is as follows

Q: Find the volume of the solid of revolution formed when the area of the region bounded by y3Dx2,…

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Q: Let y = 5/T. Find the change in y, Ay when a = 5 and Ax 0.1 Find the differential dy when I 5 and dæ…

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Q: SAQ 2: If f(x) = then using the table of values show that lim f(x) does exist %3D X-1 and find the…

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Q: d Use the table below to find [g(x) – f(x)]| dx |x=2 1 2 4 f'(x) gʻ(x) 4 1 2 1 2 4 d [g(x) – f(x)1]…

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Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (6, –5) + t(1,…

A: we can solve this as follows:

Q: Use the definition of a normal subroup to prove Proposition 2.3.7: IfGis an Abelian group, then…

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Q: Evaluate the integral of the following. 1 | sec*-xtan* 1 2* dx

A: We will evaluate the integral as following.

Q: A math course has two midterms and a final exam. Midterm 1 is worth 18% of the final grade, midterm…

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Q: Evaluate the limit of f(x) numerically or state that the limit does not exist. 5x? – 180 f(x) = x +…

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Q: Give at least 3 examples of each type of matrices 3x3 and 4x4. 1. Idempotent Matrix

A: One example of 3x3 matrix is 123456789. One example of 4x4 matrix is 12345678912346789.

Q: Use Wallis' formula to evaluate ? cosxsin²xdx 2

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Q: 7+x on the domain[-8,0]. 8- x Find the absolute extrema if they exist, as well as all values of x…

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Q: 3.(Straightforward) Solve the separable ODEs: (a) dy/dx = y/x².

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

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Q: Find the interval of convergence of the series. (3x)" * Σ n2. 10" n=1

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Q: Find the unit vector ofn = (4,-3) . 14 3\ 5'5/ O /4/5 35 5 5 /4 3\ 5/ 45 35

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Q: Find the unit vector of n = (4,-3) .

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Q: What is the area bounded by:(answer must be fractional form) x²=-9y and y+1=0

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4 4x(1 – x²)dx = i -1

A: To find the value of given integral.

Q: The integrand of the definite integral is a difference of two functions. Sketch the graph of each…

A: Given:     ∫-4432-x2-x2dx Here the integrand is the difference between the two functions. The two…

Q: What is the slope of the tangent to the curve x-y² -x = - 4'at (1,2)

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Q: 21 dy d-y Consider the curve x = y'. Use implicit differentiation to verify that and then find %3D…

A: answer of given question is in step 2

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 6) V = O parallel O…

A: The given vectors,    u=2, 6, v=32,-12