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Q: Find the area of the region between the following curves. If necessary, break the region into…

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Q: Suppose w = x = cos? t, y = sin? t, z = dw Evaluate at t = 3 , by using the Chain Rule dt

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Q: Three equally sized corrals are constructed next to a river. if the area to be enclosed is 19600…

A: Use concept of minimizing of fencing

Q: Find the length of the curve r(t) = t^2i − 2√2tj + (t/2 − 1)k for 0 ≤ t ≤ 1.

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A: Given: fx=y=x2+2, y=18 and  0≤x≤4 And the bounded region is: Apply the shell method to find the…

Q: Give 5 sample problems for Elimination of Arbitrary Constant (Differential Equation). Provide step…

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Q: Solve the system of linear equations using Gaussian Elimination. -71[X1 X2 X3 15] [x4] 5 -10 3 14 8.…

A: To find the solution of given system of equation.

Q: 7x and y = 5x². Sketch the region enclosed by y Decide whether to integrate with respect to x or y.…

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Q: The International Space Station orbits the Earth at a height of 250 miles. What is the height of the…

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Q: f(x) e C = 0 %3D - ) = Σ %3D n = 0

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Q: A company's marginal cost function is where x is the number of units. Find the total cost of the…

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Q: 23. Use Stokes' theorem to evaluate Se F · dr, where F(x, Y, z) = (xy, yz, zar) and C is the…

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Q: uni vectors that stâtêd coi satisly th st cônditi NOTE: Enter the exact answers in terms of i,j and…

A: Given: u=-2i+7j

Q: Calculate the limit. x2 – 9 lim х-3 х2 + 5х — 24

A: limx→3x2-9x2+5x-24

Q: Let 7. B(t) = ift < 2 - Vt+c ift 2 2. Find the value of c so that lim B(t) exists. t+2

A: This question is based on limits.

Q: B: By using Homogenous method solve the first order differentia еquation (1+ e») dx - e"l> -1) dy =…

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Q: dz (е) dz

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Q: Problem 6. The area A of a triangle is given by A=ac sin B, where B is the angle between sides a and…

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Q: any solutions does the equation 2 + 6 (x 4) = 3x - 18 + 3x have?

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Q: The general solution of y² + x² ªY dx xyis dx

A: This is a homogeneous differential equation which can be solved by putting y=vx

Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – the…

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Q: Find the extremum of f(x.y) subject to the given constraint, and state whether it is a maximum or a…

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Q: Q1: Find dy/dx of the following functions: 1. x'e? y = log2 2Vx+1 2.

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

Q: Q.4 Let 0 be a scalar point function defined as follows Ø = x3 + y3 + z – 3xyz. : %3D 4.1 Find the…

A: This is a problem related to

Q: Two functions are defined by f: x ax + I andg:x 4b **1, where a and b are constants. Given that f(a)…

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Q: f(u) = u + u g(x) = cos (x) Find the following function and derivatives. (Express numbers in exact…

A: We have to find out function

Q: Write an expression for the nth term of the geometric sequence. Then find the i a, = 8, r = n = 10…

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Q: 40senz are solutions of the differential equation senr It's known that y1(x) 2(z) : 4z2y" + 4ry' +…

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Q: Test the series for convergence or divergence. E(-1yr (3n – 1). 7n +1 n-1 Evaluate the following…

A: Recall: Divergent theorem,    If limn→∞an≠0, then the given series ∑n=1∞an is divergent. We have,…

Q: Calculate the (f(g(x)))' and (g(f(x)))' derivatives if f(x) = x7 1 g(x) = 5x + 1 (Express numbers in…

A: Given; f(x)=x7 and g(x)=1/(5x+1).

Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a…

A: In this we use Lagrange multiplier to find out max/min value for given constraints, so I'm providing…

Q: c) Use the Chain Rule to compute %3D ds se In (c) express your answer in terms of the independent…

A: Here, the given functions are: f(x,y,z)=x4y+z4, x=st2, y=st,z=s2t

Q: test the converg ence and divergence 27-1 2. (2h-1):

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

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Q: Find the length of the curve of the graph of the indicated function. y = (x + 3)3/2, between points…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 15 - =…

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Q: Let f(x) = 10x + ax² + e2×. Compute f()(x). (Use symbolic notation and fractions where needed.)

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Q: . The line segment from (1, –1,3) to (0, –3, 1) forms a diameter of the sphere S1. Find the…

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Q: Q2/: Full the following blanks by the suitable solution (Undetermined Coefficients method) If y" +…

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos*…

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Q: for the following differential equation (assume zero initial conditions), write the state variables…

A: Solution: Given

Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a…

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Q: Find f. - Vi- () -- 8. f'(x) = 9 %3D V1-x2 f(x)

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Q: onsider the curve (y² = 9 + x ) that defines y as an implicit function of x. If P (xo, yo) is the…

A: Topic:- application of derivatives

Q: 19y Consider the differential zy" – y = - (1) equation When applying variable z= e', y = u(t)e *…

A: Solve the differential equation then undo put into y(t)

Q: Where is each function continuous? (b) f(r) = sin-(1-r) %3D I+3 (c) f(r) In ) %3D (d) f(r)= 12+5r+ 6

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Q: Evaluate the following sums using summation formulas. 10 10 10 Σ b. ) k? а. C. k=1 k=1 k=1 10 а. k=1…

A: We have to evaluate the sum

Q: 10 (5, 10 -x, x>5 x55 Use geometry to evaluate f(x) dx for f(x) = O 12.5 O 25 37.5 Cannot be found

A: Given that fx=5,x≤510−x,x&gt;5 To evaluate ∫010fxdx

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(2) = | : 1 -dt 1 + t5…

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Q: Current Attempt in Progress Express the iterated integral as an equivalent integr with the order of…

A: we have to change the order of integration.