Question 3 (1 point) The lines = (-5, 6) + s(-2, 4) and 7 T = (12, 10) + t(-2, 4) s,te Rare parallel True False -

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Q: Find the extrelne values of the function f(x,y)=4x2+ 7y2, on the circle x² + y²=1.

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Q: [2re™² dr a. 2xe*² + C b. x20x³ 3 @. ex² + C d. x²e² + C + C

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Q: Question 7 (1 point) ✓ Saved The point (1, 2, 4) is on the line 2+³ = 1+4 = 25 True False

A: We have given equation of the line x+35=y+44=z+53 Put x=1,y=2,z=4 1+35=45 Similarly, 2+44=64=32…

Q: 1. (a) Use the Euclidean Algorithm to find ged(125, 793). (b) Using the workings in (a), find m, n €…

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Q: 1 lim x cos- #48 X lim 00-00 = lim 20-00 cos (1/x) 1/x [-sin (1/x)] (1/2) -1/x² =lim sin 22-00 = 0 1…

A: Here, to evaluate limx→∞x cos1x

Q: if / 2³3 rsin rda -x³ cos x + 3x² sin x + 6x cos x Oxsin x O cos x sin x X COS X = 6 ƒ ƒ(x)dx, then…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: Find the length of the given curve: where -4 < t ≤1. r(t) = (-2t, 2 sin t, 2 cos t)

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Q: = $r(t)dt 5. Use the graph of f(t) = 2t - 5 on the interval [-2, 10] to write the function F(x),…

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Q: Evaluate the integral: 224-25 dyda 2₂ 2 [1-4] 02[1-4] +0 0.[4] 4π [+¹]

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Q: Question 14 (1 point) ✔ Saved Determine the scalar equation of a line with a normal vector passes…

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Q: Evaluate ſ F . n dS if F = (x + y² ™)ī − (2x)j + (2yz)k and $ is the surface of the plane 2x + y +…

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Q: EQUATIONS 5y" - (y) = y³ sin æ 4 x yy" + 2x = tan x ºr + (5) - w = 4et St2 88 SM - (SM) dy³ xt' +…

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Q: Use the graph of the function f(x) shown below in order to determine all values of a in the interval…

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Q: solved

A: Please refer to the image below

Q: Find the difference quotient f(x+h)-f(x) for f(x) = x² - 4x. h

A: Here is the solution:

Q: Suppose p′(−1)=−2 and q′(−1)=−5.5.  If r(x)=−7p(x)+10q(x), find r′(−1).

A: We have to find the value of r'(-1).

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Q: Differentiate the following. Do Not Simplify. y=(sinx)(lnx)_ b) y=(e³+√cos x) c) y = º /1—tanx 3x³…

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Q: Given the curve shown below, determine if the slope of the curve at x = negative, or zero. 4 3 2 O…

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Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled…

A: Given: The depth function: D(t) = 2sinπ4t+5π4+5 Depth is changing at 6 a.m. t = 6

Q: 15 Lo - - dx 15 X (x + 1) ²/ O 0 O or| 800 88 O 1 O 176 5

A: The answer is 0.

Q: J dx 4+x²

A: Given,            ∫14+x2dx

Q: Find all local extreme values of f(x) = - The FIRST local extreme value, moving from left to right…

A: Topic:- application of derivatives

Q: Let R be the shaded region bounded between the curves y = x^1/3 (equivalently y^3= x) and 4y =…

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Q: The derivative of f(x)=sec x is Select one: a. sin x COS X O b. C. O d. sin ² x 2 COS .X sin x cos²x…

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Q: Solve the following initial value problem for the unknown function y(x) a) y' = 2xy², y(1) == b) 2…

A: Topic:- application of integration

Q: dy Solve the separable differential equation = dx - 7y, and find the particular solution satisfying…

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Q: Solve the following system of equations using the Gauss elimination method 4x - 3y + 2z = -16 -3x -…

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Q: Given the following function, find the values of f (5,2) x = 5 + xln(xy-9) f(x,y) O A. 25 OB. 10 OC.…

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Q: -) 5cos(x +40°) - 3.6 = 0

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Q: Solve the differential equation (2x + y) dx (4x + 2y − 1) dy = 0 O a. 5x 10y + In 10x 5y 2|= C O b.…

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: The given integral is ∫x3-6x-4dx Integral formulas, ∫xndx=xn+1n+1+C∫dx=x+C

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Q: Five years after purchase the auditor of a newspaper company estimates the value of their printing…

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Q: Calculate each of the following given that: a. b. a-b a x (2b - 3c) |b x 3c| C. d. projac a = 2i -…

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Q: 1) Calculate the volume of the solid created by rotating the region bounded by y = x² +1 y = -x + 3…

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Q: Calculate (t) when k(t) = r(t) = (6t¯¹, 1, 6t)

A: r(t)=6t-1, 1, 6t Formula for  curvature κ(t)=r'(t)×r''(t)r'(t)3

Q: ex 1₁-0² (1 - e²x) a. 3 b. C. ex VI d. √1 G ex ex 3 2 5 ² ( + 2 1-e(2x) 2 5 dx e2x In 1-e2|+C e2 + C…

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Q: A1. SOLVE STEP BY STEP IN DIGITAL FORMAT Using the following function and the given intervals…

A: Given - f(x) = 4x^2 - 6                [ 3 , 6 ] ∆y/∆t =[ f(X2) - f(X1) ] / ( x2 - X1)

Q: The planets move around the sun in elliptical orbits with the sun at one focus. The point in the…

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: Which of the following represents a possible equation for a sinusoidal function with an amplitude of…

A: answer is in next step. please give a like!!

Q: -6-5-4-3-2-1 у 7г 6 4 3 2 1- -1 -2 -3 -4 -5 -6F 1 2 3 4 5 6

A: Range :- all the y value where function is defined

Q: Given the function f(x) = −4 sin³ x, find ƒ'(x).

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Q: Test 8 2k √k for convergence

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Q: Given the ODE: dy dt - --(t-1) cos(y). 4(0)-3 Estimate y(1) using midpoint method, h=0.5. Present…

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Q: What is the equation of the tangent line to y=−2x^3−x^2+4x+3 at x=3? Write the tangent line in…

A: We have to find the equation of tangent line.

Q: VIBDIC he following DES. to E visbiol

A: