.2 f (x) = 1+ x3

Q: f(x) %3D 4x2 + 3 List the x values of the inflection points of f. If there are no inflection points,…

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Q: Find term 4, term 6 and term 9 given by the formula: n2 + 2n + 1 a = ;n2 1. n+2 Determine whether…

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Q: Choose the correct answer 1- The circle x + y 1, this mean :- a- C= 0,0. R=2 b- C= 0,0. R=1 c-…

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Q: -1 1 Let: Define the linear transformation T : R³ → R² by T(#) = Az. Find the images of u = 3 and i…

A: To solve the following problem

Q: A rock is thrown upward from a bridge that is 53 feet above a road. The rock reaches its maximum…

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Q: 7 n2+ 3 n+ 2 lim 7 9 n2+ 2 18 n- 00 Select one: O True O False

A: limn→∞7n2+3n+29n2+2

Q: Use the Chain Rule to find the derivative of the function. y = (4x2 − 5)3 y' =

A: Solved below

Q: Given the piece-wise function x² – 2x + 5, Зx2 - 2х - 5 f(x): 0 2 Determine whether f is continuous…

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Q: 2r – 3, Use the limit definition of derivative to show that f(x) = I 2 I = 2.

A: for differentiate at point  the function should be contineous at point for contineous limx→2+ f(x) =…

Q: Give the curve r = 3 cos 0 a) Find the points on the given curve r = 3 cos 0 where the tangent line…

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Q: a) Find the value of a such that the series 00 a E(-1)" is equal to . If it is not possible 2" n=0…

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Q: A population of insects increases at a rate of 220 + 8t + 1.5t² insects per day. Find the insect…

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Q: Let F(x) = f(f(x)) and G(x) = (F(x)) You also know that f(9) = 11, f(11) = 2, f'(11) = 2, f'(9) = 8…

A: Solution of question is written in below steps.

Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

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Q: If a derivative of a function is constant, the function is: O First Degree Exponential O Logarithmic…

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Q: n f(x) = 3x³ + 2x 5 verify that f(x) is invertible and, if so, find the equation of the tangent line…

A: Topic:- application of derivatives

Q: The series 5 n 6. n=4 8

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Q: Determine the area bounded by the equation given.

A: This question can be solved using the concept of area under curves.

Q: What are the first four terms of the sequence n+1 00 3n-1 n=1 Select one: 3 2 4 3 O None of the…

A: Given problem:-

Q: Think of four random integers q, r, s, and t selected from 0 through 9. Let a1 = 0.qrst, where q, r,…

A: let as consider four integers q,r,s,t from 0 to 9 then we get a1=0.qrst=0 now if we select four more…

Q: QUESTION 1 A student has received the following marks Test No 1 Test No. 2 57 9% Test No. 3 Test No…

A: Explained below

Q: Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can…

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Q: e) S (x² – 2 x + 1)dx

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: Question 4 Rolle's theorem states that if a function fis continuous on the closed interval [a, b]…

A: Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and…

Q: 3. A curve has parametric equations r = sin(3t) and y = cos(t) where t takes all real %3D values. dy…

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Q: The area of the surface generated by revolving the curve y = V9 - x,-2 s xS 2 about the x-axis is…

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Q: Give the curve r = 3 cos 0 b) Find the points on the given curve r = 3 cos O where the tangent line…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Find an equation of the Hyperbola that has Foci (-1,–3) & (-1, 7) with asymptotes y = x+ & y = -a+…

A: Standerd equation of hyperboal is (x-h)2a2-(y-k)2b2=1where (h,k ) be the center

Q: Find the minimum of f(x,y) = 7x + 3y on the ellipsoid 7x2 + 4y2 = 8. Leave your answer correct to…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y2 + 6,    (1, 4) ∇f(1, 4) =

A: As we know that; The expression for the gradient vector; ∇fx,y=i∂∂x+j∂∂yfx,y=i∂fx,y∂x+j∂fx,y∂y…

Q: 2 sin 3at where a is any positive constant and s > a.

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Q: Given a surface f(x,y) = -3x2 + (4)y2. Find the derivative in the direction of v = at the point (1,…

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Q: A 5 meter long ladder is leaning against a wall. If the bottom of the ladder is being pushed towards…

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Q: A triangle has variable size x.y.z subject to the constraint such that the perimeter is fixed to…

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Q: Let A(x) = So f(t) dt, with f(x) as in figure. 1.0 0.5 A(x) has a local minimum on (0, 6) at x =…

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Q: x2 - 6 Calculate the derivative function of g(x) Write your result as a single fraction. 2x + 1 =…

A: Given: g(x)=x2-62x+1

Q: Item 1. Consider the given: x³ – 4x2 8(7x – 4) (x + 2)4 х(х + 8)(х — 2) f(x) = (x + 2)2 . (x + 2)2…

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Q: Directions: Write the correct answer on your notebook. Show the graph and determine if the given…

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. y =…

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Q: V * 00 > Find the critical points of the following function. Use the Second Derivative Test to…

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: Use the Laplace transform to solve the initial value problem y''+y'−2y=2e3t,y(0)=−1,y'(0)=4 y(t)=

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Q: a. y'=-20x (3– 5x')" 32. Suppose that x and y are both differentiable functions of t and are related…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y2 + z? = 33, (1,…

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Q: Find the following derivatives. Z, and z,, where z= 6xy-5x y, x=s+t, and y =s-t %3D (Type an…

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Q: 5. A farmer wishes to fence off a rectangular region next to a straight wall. The side of the…

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Q: 15–18 Find the unit tangent vector T(t) at the point with the given value of the parameter t. 15.…

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Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 14 – x;…

A: Use. Slope formula for finding the value

Q: Test the series below for convergence using the Root Test. 3n 6n + 2 n=1 The limit of the root test…

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