- Find a formula for the function T(x, y, z) of three variables that gives the square of the distance from the point (x, y, z) to the origin (0, 0, 0).

Q: Identify the interval(s) where h is differentiable. For each point where h is not differentiable,…

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Q: Solve the following system of equations: (1) 2x -y +z = 3 (2) 3x-²y+z=0

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Q: Solve the given differential equation by undetermined coefficients. y" - y' = −4 y(x) =

A: The given differential equation is .We have to find the general solution to the differential…

Q: Complete the parametric equations for the line where the planes - 8x +12y - 5z = -5 and -9x + 11y -…

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Q: -11 x(t) = -1 + 2e

A: The function  represents a decaying exponential function with a constant offset. The term…

Q: For the following function, find the Taylor series centered at x = 6 and give the first 5 nonzero…

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Q: Find an equation of the plane tangent to the following surface at the given points. z = In (1 + xy);…

A: Find an equation of the plane tangent to the following surface at the given points z = ln(1 + xy)…

Q: A pool cleaning solution is mixed from three different bottles of solution. The first bottle…

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Q: x³-125 3. Identify any removable and any non-removable discontinuities of the function f(x) = x²-25'…

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Q: If f(1) = 4 and f '(x) ≥ 1 for 1 ≤ x ≤ 4, how small can f(4) possibly be?

A: If a function is continuous on some closed interval  and differentiable on the open interval  then…

Q: Use a system of equations to find the equation of the parabola that contains the three given points:…

A: Three points are (0,7) , (1,4) and ,(3, -8)

Q: 5. The position function of a particle is given by s (t) = t³ - 6t² + 9t, 0≤ t ≤ 4. Position units…

A: NOTE: Refresh your page if you can't see any equations..The given position function is,To find the…

Q: lim √√x In(x) +0+x

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Q: Solve the following system of equations: (1) 4x+y-2z= -29 (2) (3) y-5z=-8 Z=-1

A: NOTE: Refresh your page if you can't see any equations..The system Ax=b is,

Q: Which of the following is the vertical component of a vector that has a direction angle of 8 = 115°…

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Q: When demonstrating that lim 4x + 2 = 2 with = 0.1, choose the largest 6-value that suffices. x-0 08…

A: If , then  for .

Q: (x - 2)² + (y + 1)² < 16

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Q: Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D". 1₁…

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Q: 10. if In x³ = 6log2-3 log 4 then x = a. e² b. 0 line to the curve y =√² c. 1 -1 at (10) = d. e

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Q: Use Figure 1 to evaluate the trigonometric function. Enter the exact answer. B 14 Figure 1 A 5

A: We have to slove above triangle question

Q: If one of your equations becomes the true statement 0 = 0 during Gaussian Elimination, that means…

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Q: Use a calculator to find the approximate value of the following expression if possible. Express your…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: 2) x² + x²³₂²2²-√²³=5πe b) xsiny-y(os₂x = xy C) (os(xy) = sin(xy) 3.2

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Q: Find the area of the sector of a circle with diameter 26 feet and an angle of 7π/4radians.   Round…

A: Area of the  Sector of a circle =  sq.unitswhere  angle in radians radius of the circle

Q: Find the limit of the following. lim (In(2x + 7)-In(9x-6)) X→∞

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Q: The vertical asymptotes of the secant function are located at the same values of x for which the…

A: NOTE: Refresh your page if you can't see any equations..To find the vertical asymptotes, take…

Q: Find the first and second derivatives. Simplify as needed. (a) f(x) = e+e-x/2 (b) g (t) = sin (πt) +…

A: Given:We are required to find:

Q: Solve the third-order initial value problem below using the method of Laplace transforms. y""' +10y"…

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Q: The vertical asymptotes of the cotangent function are located at the same values of x for which the…

A: we want to determine the given statement is true or false .we can calculate the vertical asymptotes…

Q: The estimated cost of producing x bikes is given by ((x) = 0.05 x ² + 6x +90b0 find and interpret…

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Q: Which of the following points does not belong to the graph of f(t) = 20-sin (4t) (the y-values have…

A: is the value obtained when  is given and the function  is applied.If , then the point is on the…

Q: In(x) x² 1 5,00 dx

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Q: Determine the period of the following trigonometric function. Answer: 7 y = sin( + πX 3 1 Submit…

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Q: B. Determine whether the series is convergent or divergent. and find the sum if it Is convergent.…

A: Consider the series .Let .If , then the sequence converges.If , then the sequence diverges.If , then…

Q: The following limit results in when you first try to plug in the limit value. Complete the steps…

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Q: -5 -14 -3 -2 Find lim x-2- J 112 + -2 -3 -4 -5+ Find lim f(x) x 2+ Find lim f(x) x-2 2 3 O Find f…

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Q: In AQRS, r = 6.7 cm, s = 1.9 cm and ZQ=90°. Find the length of q, to the nearest 10th of a…

A: NOTE: Refresh your page if you can't see any equations..here we have

Q: lim x→0 ex et - 1 sin x

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Q: The domain of f(e) = cot(re)- -2 is: O All real numbers except for multiples of Зл 2 O All real…

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Q: Find the locus of the midpoints of chords of hyperbola            3x2-2y2+4x-6y=0  parallel to…

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Q: Find the radius of convergence, R, of the series. Σ. n = 1 R = 9nxn n4 Find the interval, I, of…

A: 1) Radius of convergence=Interval of convergence=2)Radius of convergence=Interval of convergence=

Q: Which equation represents the graph shown below? y 5 4 3 2 1 W -4 -3 -2 -1, 0 1 2 13 4 5 6 -1 -3 -4…

A: As graph cut negative y axis at x=0 ,so function value is negative.

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: The radius of a right circular cone of fixed height 20 ft is increasing at a rate of 4 in/s. How…

A: The volume of the right circular cone is given by the formula,Here V means volume, r means radius, h…

Q: (1) Find the limit. Say why LH rule (l'Hospital's rule) applies to this case and then use that sin x…

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Q: Find the equation of all tangent lines at x = 0 to the curve x²y + y² = 2x + 1

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Q: For the function f(x) = 12x – 10, find the slope of the tangent line at x = = 3.

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Q: Given vector v = (-2,5) and vector u = (6,8), what are the endpoints of vector v + u? v+u = (8,13)…

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Q: x lim f(x)= x-5- lim f(x)= 2-5+ lim f(x) = 2-5 4 -11 4.9 -13.7 4.99 5 5.01 5.1 -13.97 -9 -14.03…

A: I am going to solve the problem by using some simple calculus to get the required result of the…