What is the range of the function y = 8cos(x-30°) –2? (A) {y]y e R} (B) {yl-2 sys 8,y e R} (C) {yl-2

Q: What is the direction in which the function f(x, y) = yx - increases most rapidly at the point (-2,…

A: Given: f(x,t)=yx2-x/y2      at (-2,1)

Q: Determine the missing coordinates of the points on the graph of the function

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Q: What is the range of the tangent function y=tan(x)? A R B [- 1, 1 [0, + ) D (- 00, 1]U[1,+ ∞)

A: Tanx is the ratio of sinx and Cosx

Q: The equation of then tangent line to y?e2* = 3y + x2 at (0,3) is y= – 6x + 3 A) True B) False

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Q: ind the equation of the line tangent to the curve 3x² + 16y² = 192 at the point Mx + K. P= (-4, 3)…

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Q: Q3/ Find the acute angle between the two curves at their points of intersection: r = 2si n 0, r =…

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Q: i) Pre that at the Point x- of the Crerve Y: 4m-S, the radices of cervatune f' 5is

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Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given :           f(x) = x2  ,  0,4πTo find :                 The point of inflection        f'(x) =…

Q: Find the extremal of the functions using Euler's equation. [²(x² + y² (y2 + y² + 2ye*)dx, y (0) = 0,…

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Q: ind the slope of the line that is tangent the curve sin(2x)+sin y=e*y – 1 at (0,0). our answer…

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Q: .3 ax when x= For what values of a and b is the line -3x + y = b tangent to the curve y 4? b

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Q: The temperature at the point (x, y) on a metal plate is T = x² + y2 Find the direction of greatest…

A: The temperature at point (x, y) is given by: T=xx2+y2 To find the direction of greatest increase in…

Q: Evalwate f, the inaicated point. (Y.y) and Fy y,y) CY.y) at 3. at (l,3)

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Q: 1. In the open interval (0, T/2) , find the point where the slope of the curve is 4? y = tan x

A: Given function , y= tan x, we have to find at what point, slope of the the given graph is 4.…

Q: nswer two only: [25] M W Find the equation for tangent to the curve y = x + cos(2x²) at x = 2.

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Q: 8. The line y = -4x + b is tangent to the curve f(x) = 2x² – 8x + 12. Determine the value of b. %3D

A: The equation of the tangent at a point h,k on a curve y=f(x) is given by, y-k=f'(h) (x-h)

Q: Q2: A-The Trapezoidal rule for roodx 5 and Midpoint rule /)dx=4 What value does . Simpsons rule give…

A: 1st we will find relation between trapizoidal , mid point and simpson rule . Then will use this…

Q: e length of the curve y = V 4 – x2, 0 <x< 2. ing the shape of the curve.

A: Use the arc length formula to find the length of the curve.  y=(4-x2)1/2 , 0&lt;=x&lt;=2

Q: Is the function u(x, y) harmonic? Why is harmonic function? Calculate the analytical function…

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Q: (A) Evaluate" [(x² + y)dx + (x+1+d along the path ABCA shown in figure C(0,3) A(0,1) x=3sint y=3cost…

A: What is Line Integral: When we integrate a function along a straight line or a curve inspite of…

Q: y 2 Find the length of the curve x y? from y = 1 to y = 9. -

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Q: Find the point at which the line y = 8x – 31 is tangent to the graph of y = eXf-16). %3D The point…

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Q: The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2). Find th…

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Q: f(x,y) = x/3 – x/3y² is harmonic? Does the function

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Q: (B): The Trapezoidal rule for f(x)dx 5 and Midpoint rule f(x)dx = 4 .What value does Simpsons rule…

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Q: a) Given that straight line y + x=2 is tangent to the curve y =x² – 6x + q. Find value q.

A: Given,  y+x=2⇒y=-x+2

Q: The len for th function Y= Fcx), where f is arc Curye increasèng function, J Ise tio' de. Vst tio'…

A: The arc length of curve y = f(t) is given by: S(x)=∫0x 1+dydx2 dx

Q: A heat-seeking particle has the property that at any point (x, y) in the plane, it moves in the…

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Q: xy = -4 and y² = 2х

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Q: of the curve yln x + 5x² + y' =13 at the point (1,2) dx b) Find

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Q: What is the range of the function y = – sin 4 (x+ ) + 3? 0-4sys2 02sys4 O-4<ys-2 oys-2

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Q: Find the rectangular coordinate equation for the curve x= cost and y=1-sin2t for 0 greater or equal…

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Q: The slope of the tangent line to the graph of y =; I+1 when x = 1 is %3D %3D - 4 3/4 O 1 4. 1/2

A: y=xx+1 Slope of the tangent line is the derivative of the given function at the given point. So…

Q: Find the point on the curve z = 5 sin(t), y = cos(t), - sts. closest to the point (2,0) . (Hint:…

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Q: Consider the curve given by y2+xy=x3-(2y/3)+(3x2/4) a) Find all the points (x,y) on this curve…

A: Given is the equation  y2+xy=x3-2y3+3x24..............................(1) The objective is to find…

Q: Find the area bounded by the curve y=- 16 A 10 square units B) 16 square units Ⓒ 8 square units (D)…

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Q: Symmetric with respect to the y-axis yA 1 1+ x?

A: Functions can be symmetrical about the y-axis, which means that if we reflect their graph about the…

Q: The curve y = sin'x has a slope of %3D Select one: a. at æ = ± O b. Never O c. at x = 0

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

Q: The tangent to the curve x? – xy + 2y? – 4x + 2y +2 = 0 that is parallel to the line x– 4y = 2. The…

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Q: thể cur dy w that dx 2y - 2х Зу - 2х %3D d the slope of the line tangent to the curve at each point…

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Q: Find the absolute extrema of the function y tan( on the closed interval [0, 2]. %3D 8.

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Q: For which parabola is the function f(x,y) Illustrate your answer. sin(xy) y-x² not defined?

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Q: 7. What is y' of the function y = arcsin V1-x |? Assume 0 <x < 1. C) y'=- Vx-. A) y'=-- B) y'= - D)…

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Q: II. Find the acute angle between the given curves. 2. x'y+4a° y=8anx²=4 ay 3. x'y+4 y=8Ax*y=4

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Q: The abscissa of the function y x^3 + bx ^2+ cx - 1 is x= 1 point is the inflection point. Since the…

A: Given that, The abscissa of the function y = x3 + bx2 + cx -1 is x = 1 point is the inflection…

Q: 3 Find the area bounded by the curve y=-x3- 16 A) 8 square units (B) 10 square units C 4 square…

A: The region is bounded by the curves y=116x3-34x2+3x and the line y=x

Q: The figure shows a semicircle with radius 1, horizontal diameter PQ, and tangent lines at P and Q.…

A: As per the question we are given a circle of radius 1 and a horizontal line above the x-axis. Now we…

Q: ind the equation of the line tangent to the graph of y = 5e* at r Tangent Line: y = %3D

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