Find the minimum distance from the point (5, 0, 0) to the paraboloid z = x2 + y2. (Give your answer correct to 2 decimal places.)

Q: Find the derivative of Yfind the equation + e* cos 2x I = 8 Use the of the line tangent to the curve…

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Q: Use the function f(x)= x 4 3.5 3.1 3.01 f(x) = lim f(x) = 6. 2-3- Based on ONLY the table of values…

A: Given f(x)=(x^2-9)/(x-3)

Q: Determine whether the following is convergent or divergent and justify

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Q: ℗ Solve the following ODES by Undetermined Coeff. в +у= y-2y +y = esinx Ans: y = ₁₂e + ₂ xe - è sin…

A: As per the rules we can answer only the first question and rest can be reposted.

Q: Find the solution of the given initial value problem: y(4) + 2y""+y" + 8y′ − 12y = 6 sin(t) + 80e¯t;…

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Q: Using an appropriate substitution, the integral [2e²+tane sec²0 de is equal to none of the other…

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Q: If f(x) = etan-¹(x²) then f'(x) at x = 1 is equal to

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Q: Find the radius of convergence, R, of the series. R = 00 Σ n = 2n(ln(n))² 4n X Find the interval, I,…

A: We have to find the radious of convergence and interval of convergence of the given series.

Q: Evaluate using integration by parts : fln 3x dx

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Q: D) 4 {= 2 + ln n [Select]

A: Use limit concept

Q: 4. Find the limit, if it exists or show the limit does not exist: a) b) lim 47,² (x,y)(0,0) x + y…

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Q: Verify the identity algebraically. 3 cos(x) 1 - tan(x) 3 cos(x) - 3 cos(x) - 3 cos(x) 1 - tan(x) = =…

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Q: If k 0 then the trigonometric integral [ 3 sin³ (kx) dx is equal to ¹(3 cos(kr) cos³ (kr)] + C

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Q: Identify the variables in the following parametric equations modeling projectile motion: x =…

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Q: 5. Krypton-85 is an inert radioactive noble gas with a half-life of approximately 10.76 years. a.…

A: Given half life of Krypton-85  is   t1/2=10.76 years

Q: How did he get the value (jw) ² x 10) = Uw)² x1w) = w2x/m) 1 inside the circle wa) A е (b-a) [ (@jwb…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: Given :fx,y=sin8x+yp0, π

Q: Using an appropriate substitution, the integral Jez-tan is equal to 2-tan sec²0 de O none of the…

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Q: Using an appropriate substitution, the integral cos cos (ln(2x)) X is equal to dx - — cos(ln(2x)) +…

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Q: 7. Let f(x, y) = a) xsin y-y sin x + y find Simplify and give exact value b) 0. Simplify and give…

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Q: 3. ƒ (1−2x)² dx S x

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Q: Determine the general solution of the given differential equation. y"" - y" - y + y = 3et+2 NOTE:…

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Q: 6° x³ (x² + 8)² converges diverges dx Evaluate the integral if it converges. (If the quantity…

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Q: Evaluate f'(x) if f(x): O f'(x) = f'(x) = O f'(x) = = O f'(x) - 2 x + 2 x + 1 + 3 x + 2 6(x + 1)(x +…

A: We know that ddxuv = v·ddxu - u·ddxvv2       (division rule) ddxu·v = u·ddxv + v·ddxu      (product…

Q: 3. The following is an incorrect solution to evaluating the integral of dx/(1 + 4x^2)^3/2 . Set x =…

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Q: Find the area of the region between the curve y = 1/1 + x^2 , 0 ≤x ≤√3, and the x-axis.

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Q: se the if f₁(t) properties of Fourier transform ē at ult) = (w) = JF.T -=S² f(t) ējwt dt -0 -jut =…

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Q: A linear function is given. A(r) = − 2/3 r − 6 (a) Sketch the graph.   (b) Find the slope of the…

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Q: 1. f(x)=x²+2x+1 & f(x) = 2x+5

A: To find the area between the curve.

Q: Evaluate the iterated integral. 1 4y x+y Jy 0 12xy dz dx dy

A: Given ∫01∫y4y∫0x+y12xydzdxdy

Q: im (x sin(2)) (a) Describe the type of indeterminate form (if any) that is obtained by direct…

A: NOTE: Refresh your page if you can't see any equations. . use direct substitution   .............…

Q: Find the derivative where w=5xyz, x=2t, y=4t, and z=3t-³. dw 1 dt dw dx (Type an expression using x,…

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Q: x1w) = - 2 W2 + 4) sine (20) 20 4 [ sine (240) 2002 How did he get the value inside the circle

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Q: Consider the following equations. f(x) = x5 + 3 g(x) = x + 3

A: Here we have to plot a graph.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Given points are,

Q: 2 = (x10 (ن) . A (b-a) [(ejob ejun -e سلم) ] - Coll - وسلام

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Q: Evaluate the iterated integral below. π T/4 A lago S. 0 1 y cos (x) dy dx

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Q: Find an equation for the conic that satisfies the given conditions. Hyperbola, foci (0, 2), vertices…

A: Given;  Foci (0,2) (0,-2) Vertices (0,1) (0,-1).

Q: dx 2+2 sin x + cos x

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Q: =) y II 131 Olim x 1 z 1 0 -1 lim 2-1 x |x-1| |x-1| x - |x-1| lim z 1 x- - 1 -5 -1 DNE UND 0.9 -1…

A: c) Given,y=|x-1|x-1 now, limx→1-11-xx-1=limx→1-1(-1)=-1

Q: How did he get the value inside the circle bn = = = falt) sin (nwot) dit // (1 = 2 11 (= (₁-t) Sin…

A: Explanation of the answer is as follows

Q: How to work out the break-even???

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Q: Give the domain and range for the given relation and decide whether or not the relation is a…

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Q: Ujw)²x1w) = 2jA (b-a) sin (bw) - sin (aw) ]

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Q: A linear function is given. g(x) = −6x + 2 (a) Find the average rate of change of the function…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 4 − x2,…

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Q: #7 Integrate using trig substitution o X s dx

A: A detailed solution is given below

Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,3) 15…

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Q: Consider the vector-field F(x, y) = y²i-xj, and let C be the arc of the parabola y = k – x² from the…

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Q: Find two positive numbers satisfying the given requirements. The product is 1200 and the sum of the…

A: To find the two positive number.