If y = a³ + e*, find y(4) when a = 0

Q: mum/relative minimum or neither. ive. Then determine the intervals where f(x) concave down.

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Q: Let f be a continuous function. Show that 2022 f(VE) de f(z) dz. /2022

A: Here, to rewrite the given integral: I=∫12022-f(x)2xdx...(1)

Q: Find parametric equations for the lines The line through (2, 4, 5) perpendicular to the plane 3x +…

A: 1) To find the parametric equations for the lines. The required line is perpendicular to the plane…

Q: Below is a sketch of the graph of J.

A: we say at x=a limit exist if the both right and left side limit exits and equal at x=a

Q: ꭍkg(x)dx=___ where k is a constant * a.(k/2)ꭍg(x)dx b. ꭍg(x) c. kꭍg(x)dx d.1

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Q: 2. Find the most general anti-derivative of each of the following functions: a) f(x) = sin(x) b)…

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Q: In the differential equation (1 + 3x sin y)dx - x2 cos ydy = 0 , we let the substitution w =…

A: Solve the following

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

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Q: Use a double integral in polar coordinates to find a such that the volume inside the hemisphere 16 –…

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Q: S dy V1+9y2 3.

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = Va2 – x2 R…

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Q: Question 9 Below is a geometric interpretation of の) O Newlon's iméthod O Jacobi's method O…

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Q: Find the derivative of the function. F(x) = dt

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Q: 4. Ln=1 By the series test: 3n-2

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Q: Find the exact arc length of the curve x = + 2) ? from y = 1 to y = 8. 3 Enter the exact answer. L =

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Q: Find the gradient of the function at the given point. g(x, y) = 13xeY/x, (5,0) Vg(5, 0) =

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Q: Write each symbolic statement as an English sentence. p: Taylor Swift is a singer. q: Taylor Swift…

A: Following are some common logical connectives: ∨   -   Disjunction (or) ∧   -   Conjunction (and) →…

Q: dy 2. x2 dx xy = (x² + y²) tan-() %3D -

A: Here, the given differential equation is: x2dydx-xy=(x2+y2)tan-1yx...(1)

Q: Given that f(x, y) = 8x-2x² - y² +8y with the constraint g(x,y): 2x+y=5. Determine the optimum value…

A: Solution is given below:

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: Given :r(t)=F(t)+G(t), where F(t)=costi - sin tj +6tkG(t)=2 costi + sin tjTo find : The domain of…

Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z² = 26, (1,…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(5t). lim (e2i + 5t +…

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Q: 9y" + 6y' + y = 0, y(0) = -1, y' (0) = 2.

A: THE SOLUTION IS GIVEN

Q: Determine whether the following series is convergent or divergente: (-1) " n7 +5 n= 1

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Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is 1.…

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

Q: Use the comparison test to verify that the following serie 00 1 Σ n=17+n7

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Q: Solve the differential equation dy æy? y(0) = 1 dx /1+ x² There is no need to isolate y.

A: A detailed solution is given below

Q: Consider the following. u = i +j+k v = 21 + j - k Find u x v. Determine if u x v is orthogonal to…

A: u=i+j+kv=2i+j-ku×v=ijk11121-1u×v=i(-1-1)-j(-1-2)+k(1-2)u×v=-i-3j-ku×v=-i-3j-k

Q: Simplify tan(arccot0).   undefined 0 pi/2

A: Topic = Trigonometry

Q: Let f(x) = VT +k, where k is a constant. Suppose we want to evaluate | f(x) dx. f(x) dæ dx – 2 dx +…

A: Given:   Let fx=π-2x+k then      ∫fxdx=∫π-2x+k dx                      =∫πdx-∫2xdx+∫k dx taking…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Follow the procedure given below.

Q: The monthly profit, P(x), of a company is expected to change at the rate of 6,498 P'(x) = 3 – (2а —…

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Q: Find the limit. (F'i – 9 j + r² k) lim t→4

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Q: f(x) = x√4-x2

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Q: I. Read carefully the statements below. Write TRUE If the statement is always correct, otherwise,…

A: Given

Q: Find the values of constants a and b that make f continuous on (-o0, +o0) where 2x +1 if a 5 f(x) =…

A: Use definition of continuous function and find the value of a and b

Q: Differentiate Derivative of Derivative Differentiation Outer of Inner Function Function 1. y =…

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Q: 1. In the differential equation (r+2y-1)dx+(2x+4y-3)dy 0, we let the substitution %3D

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Q: Let f(x) = Va and g(x) = x² – 1. Find go f and determine its domain. |3D %3D

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Q: Find the value for k so that the function will be continuous at x = 3. %3D - 10x2 - 10x + 120 - 1 1…

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Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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Q: OR = {(r, 0): 0 <r< 6 cos(30), 0 < 0 < n}

A: Follow the procedure given below.

Q: 6n+5 is Ln=1 5n+1 Determine whether the series convergente or divergente.

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Q: Find the y-intercept and x-intercept of the linear inequalities then graph the system. 1.2х + 3у >…

A: I am attaching image so that you understand each and every step.

Q: a) Find the value of r. Round off your answer to four decimal places. b) How many bacteria are there…

A: Follow the procedure given below.

Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² = 4, and y2 +…

A: Region bounded by two circle in fourth quadrant

Q: _13. What is § 2sinx cos x dx? cosx A. In2 +C В. C. +C +C D. In2 _14. Which of the following has…

A: We use the method of substitution to  solve the given differential equations

Q: Determine whether the following series is convergent or divergente: (– 1)" n =1 n6 +7

A: The detailed solution is given below Thank you

Q: ) Consider the integral TTY sin dydx. orl o g roloi T tiv ane b onqua Aanitoom wtelole 211 Z08-11 a…

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