Check the function y=x²+1 whether have a symmetry about x or y axis

Q: Evaluate F. dr along the line segment C from P to Q. F = -7xj; P(8, 3), Q(8, 4) #1 [F F. dr = i

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Q: Suppose that f(x) and g(x) are given by the power series f(x) = 6+7x+7x² + 4x³ +….. and g(x) =…

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Q: Find DO NOT SIMPLIFY YOUR ANSWERS. 1. log √2x² + y + 2x² + y) + tan(x™ — ñ³) = sin¯^¹²(x² − 1) + ½ /

A: To dydx.log32x23+y+tanxπ-πy=sin-1x2-1+π2

Q: Homework: Module 3 HW 16.4 Apply Green's Theorem to evaluate the integral. $(8y +x)dx + (y + 7x)dy…

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Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. Co C₁= C2= C3=…

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Q: по + y³ =1, Dzy 2. = .:3 _ x+2y x-2y 3. : . + Злаb2, у" У X sla .

A: We can solve this as follows:

Q: (D² - 1)y 2 1+ex

A: In this question we have to find the solution of the differential equation.

Q: - y' + y = 2 sinx when y(0) = -1

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

Q: Write the Taylor series for f(x) = eª about x = 1 as Σcn(x − 1)". - n=0 Find the first five…

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Q: Finding Extrema on a Closed Interval In Exercises 1-8, find the absolute extrema of the function on…

A: To find the absolute extrema of the function on the closed interval. By using a graphing utility to…

Q: Find the exact length of the curve given by Length = x = 2t², y = (0 ≤ t ≤ 4).

A: A detailed solution is given below

Q: Find the derivative of f(x) =de 22 Of(x) e (e-2x) ²-e -2x O f'(x)=x²e-2 (-2) O (E) None of these O…

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Q: Find a set of parametric equations for the tangent line to the graph at t = to. (Enter your answers…

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Q: Find an equation of the plane through the point (2, 0, 1) and perpendicular to the line x = 3t, y =…

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Q: r(t) = 8 cos(t)i +8 sin(t)j + tk; t = 2 8 √65 65 √65 0. = X 65 = 0 - 10 .

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Q: y = x(2x+1), y" y = (4x − 3)¹/²2, d³ y dx³

A: Topic:- derivatives  Note :- as per our guideline if more than one question uploaded than only first…

Q: IF F. dr. F(x, y) = 9xi + 6yj C: r(t) = ti + √4-t²j, -2 ≤ t ≤ 2 Evaluate

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Q: Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y…

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Q: Evaluate F. dr along the curve C if F(x, y) = (x² + y²)¯³ (xi+yj), с and C: r(t) = et sin ti + et…

A: F.dr is integrated along the curve C.

Q: Verify Green's Theorem by evaluating both integrals ON √ y² dx + x² ov - [/(2x - 2M) da dA R ax ду…

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Q: = ||r' (t) × r"(t)|| ||r(t)||³ to find (t). r(t) = 8 cos(7t)i + 8 sin(7t)j + 3tk Use the formula…

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Q: k1 (k+ 1)².4k ak+1 lim ||

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs x = y³ and x = y…

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Q: y" + 6y' +5y=10sin (2x)

A: First find AE(Auxiliary equation) and PI ( Particular integral)  then CS ( Complete Solution) is PI…

Q: 1 find the total differential dz. z=xsin y + x² z = (2x² + 3y)² z=5x-7y

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Q: (1) What is the approximate volume of a thin cylindrical shell with height 2, radius 3, and…

A: Solution ) Volume of the cylinder    V = πx2h        x = radius         Differentiate with respect…

Q: Find a general solution. Show the steps of derivation. Check your answer by substitution. -1.2 6. y'…

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Q: Is the output true or false, I need the output step by step and a clear line please al = 25 dB al =…

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

Q: Evaluate the line integralſ (x + 2y) dx + x² dy, where C consists of line segments from (0,0) to (2,…

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Q: equation and the initial condition. 8. f'(x) = 9x² + 1, f(0) = 7

A: Given problem:- Solve  f'(x) = 9x² + 1, f(0) = 7

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: Find the limit. lim (t i 7 j + t² k) t→5 lim (t i − 7 j + t² k) = i Exact number, no tolerance. i+ i…

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Q: (D² - 3D + 2)y = 2e-* +8

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Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41³1 (4t³i + 14tj - 6√tk)…

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Q: = ||r' (t) x r' (t)|| ||r' (t)||³ to find k(t). r(t) = 7 cos(9t)i + 7 sin(9t)j + tk Use the formula…

A: find curvature

Q: 8. SHOW ALL WORK =I Determine the values of the other five trigonometric functions of 8, given that…

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Q: Solve the D.E ý - y = x لم

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: differentiate using delta method y= x2-6x+8

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e-X, n = 5 P5(x) =

A: We have to find the McLaurin Series for the given function.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If l'Hospital's Rule does not apply,…

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Q: onsider the quadratic function f(x) 2²-3x + 10. etermine the following: (enter all numerical answers…

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Q: (x, y) = x(x + y)

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Q: Solve the following differential equations of y"-2y' +24y=3sin(4x)+6cos (7x)

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Q: Find all solutions of the equation in the interval [0, 2). sin x=√1- cos x Write your answer(s) in…

A: To solve the given trigonometric equation.

Q: 10. Given that y = at x = 1. e* X + 1 Find, in terms of e, the values of . 최 and dx dx²

A: (10). Given: y=exx+1   As we know that; The Power law; ddxxn=nxn-1 The Quotient rule;…

Q: Applying the ratio test to the series ∞ 5k-1 k=1 (k+ 1)².4k ³ you would compute ak+1 lim = ak Hence…

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Q: Find T(t) and N(t) at the given point. (7) = N() = = T r(t) = 11 cos(t)i + 11 sin(t)j + tk; t = K|2

A: Given,…

Q: III. Find a set of equations of the line passing through (4,2,-1) and parallel to the line of…

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Q: Finding an Indefinite Integral In Exercises 75-78, find the indefinite integral. 1 75. dx 7x-2

A: Here is the solution: