Find all local extrema using the second derivative test. 1. f(x)=x2-1n(x) 2. f(x)=x-2sin(x) 3 . f(x)=2x3+9x2+12x-4

Q: If f(x) = 2. e*, find f'(1).

A: given function

Q: 1. Use the Limit Comparison Test to determine if diverges. Show all appropriate work. iM 8 n=1 √n n2…

A: The objective of this question is to determine whether the given series converges or diverges using…

Q: Problem 3. In this problem, we will determine a closed formula for the the n-th partial sum of a…

A: Please refer below pages.If you have any doubts please feel free to ask.Explanation:Step 1:…

Q: 5 Given that thet is an acute angle with tan(0) evaluate sin(20) - cos(20). 12 119 O 169 1 169 7 13…

A: The objective of this question is to evaluate the expression sin(2θ) - cos(2θ) given that tan(θ) =…

Q: Use complex numbers

A: Final answer:The expression 81a2+5b2 factors into (9a+5​bi)(9a−5​bi).Explanation:Step 1:To factor…

Q: Let u= (6,8). Find a unit vector that has the same direction as u A. (1,0) B. 11 11 u|1|1 = √(6² +…

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Q: Use undetermined coefficients to guess the particular solution for y"-2y+5y= et sin(2t). Use A and B…

A: By using method of undetermined coefficients to guess the particular solution for the following…

Q: Find the center of mass of the lamina if the density at any point is proportional to its distance…

A: The center of mass of the lamina is (xcm​,ycm​)=(0,2.4)Explanation:Step 1: The boundary conditions…

Q: Determine whether the series converges or diverges. 00 en + 9 Σ nen + 9 n = 1 O converges O diverges

A: The objective of this question is to determine whether the given series Σ (n/(n + 9)) from n = 1 to…

Q: (d) Find an equation for each of the graphs: For graph (1), x(t) = For graph (2), x(t) = = For graph…

A: To find the equations of the given graphs

Q: Convert the Cartesian coordinate (-3,2) to polar coordinates, 0 << 2πT r = Enter exact value. 0 =

A: The objective of this question is to convert the given Cartesian coordinates (-3,2) into polar…

Q: Precalculus Question (7)

A: The answers are as follows: 3. a. The complex conjugate of 1-2i is 1+2i. b. The complex conjugate of…

Q: Consider the given limits (a is a constant, f(x) > 0). lim f (x) = 0 xa limp (x) = ∞ xa lim g(x) = 0…

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Q: (2n)! Use the binomial series to find the Maclaurin series for the function. (Use for 1 3 5...…

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Q: work tshould clearly presented and well explained. The solution must follow basic mathematicallogic,…

A: Dear student,Part 1: Answer:The global maximum for \( F(x) \) on the interval \([-6, 6]\) is…

Q: Use the definition of Taylor series to find the first three nonzero terms of the Taylor serie f(x) =…

A: By using the definition of Taylor series to find the first three nonzero termsof the Taylor series.

Q: Precalc

A: +−31​,+−32​,+−35​,+−310​+1,−1,+2,−2,+5,−5,+10,−10Explanation:If you have any problem let me know…

Q: Use the Product Rule to differentiate the function. f(x) = x² cos(x)

A: f(x)=x7cos⁡(x)f′(x)=ddx(x7cos⁡(x))Product Ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Q: Use logarithms to solve the given equation. (Round the answer to four decimal places.) 2* 2x = 13 x…

A: Step 1:solution given that 2x=13using natural log both side ln2x=ln13 Step 2:using logarithm…

Q: Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). 7(x + y)…

A: To find:-, where

Q: A calculator may not be used on the following questions. 4 TT A polar curve is given by r = The…

A: The slope of the curve at x=π/2  is equal to 0.25 The correct option is option (d)Explanation:Step…

Q: 14. cot4 2x dx

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Q: Find the gradient of the tangent to S(t): = 5t +7 +2 at the point where t = −1.

A: The objective of this question is to find the gradient of the tangent to the function S(t) = 5t + 7…

Q: Consider the function f(x)=2x^3-12x^2-30x+2 on the interval [-6,10]. Find the average or mean slope…

A: Ans:Detailed answers in explanation please referAny confusion please ask in clarification will…

Q: Homework

A: ∫∫R​12xdA=1962​≈277.18Explanation:Step 1:Step 2: Step 3: Step 4:

Q: (BC Topic) A curve C is described by the parametric equations 31-6 x(t)=3-2t² and y(t)=4e³ . Which…

A:

Q: Find volume V. Use cylindrical or spherical coordinates.

A: Final SolutionSo, the volume V of the solid region inside the cone z=r and between the planes z=1…

Q: 7

A: The objective of this problem is to find the volume of the solid obtained by rotating the region…

Q: ABC is a triangle with AB = 12, BC = 8, and AC = 5. Find cos(A). Note: You are being asked to find…

A: The objective of this question is to find the cosine of angle A in a triangle ABC, given the lengths…

Q: 19

A: The answers have been provided.Explanation:

Q: I am needing assitance with the problem in the attached image, 3.6.

A: The derivative of the function y = 7x4 + 2sin(x) is: y′ = 28x3 + 2cos(x)Explanation:Step 1: Identify…

Q: Consider the following demand function: Step 1 of 2: Find the elasticity function. p = D(x) = √√147…

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Q: Let f(x)=xe and f(")(x) be the nth derivative off with respect to x. If (10) (x)=(x+n) e*, what is…

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Q: Sketch the region in the first quadrant enclosed by y = 7/x, y = 2x, and y = x. Decide whether to…

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Q: Consider the area between the graphs x + 4y = 17 and x + 4 = y². This area can be computed in two…

A: 1. a=−4,b=5,c=45 f(x)=2x+2​. And g(x)=417−x+x+4​​ 2. α=−7,β=3 h(y)=−y2−4y+21 Area is…

Q: Graphs of two quadratic functions are given below. Find an equation for each. Note: The graphs below…

A: To find the equations of the quadratic functions represented by the graphs, let's analyze the key…

Q: Find the equation of normal to the function f(x)=x3−3x+1 at its local maximum point. I want a HUMAn…

A: The objective of this question is to find the equation of the normal line to the function f(x) = x^3…

Q: Find the critical points for the function 3 - f(x, y) = x³ + y³ − 6x² - 27y – 10 - and classify each…

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Q: Find the unit vectors that are parallel to the tangent line to the parabola y = x² at the point (6,…

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Q: A tank contains 200 gallons of water in which 300 grams of salt is dissolved. A brine solution…

A: The initial value problem for A(t) is .To find the amount of salt in the tank at time t by solving…

Q: [2] (a) fe In (x²) dx (b)²x² In(x) dx

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Q: A calculator may not be used on the following questions. The position vector of a particle moving in…

A: Answer is following in explanation step.Explanation:

Q: 个 The Of X Schedu X MOM X M MyOpe X AC Usi X →>…

A: f′x=3x2+12x−15f"x=6x+12Explanation:Following rules of derivative f′x=nxn−1 Step 1:f' (…

Q: Help with cal question

A: The center of circle is (-4.5,0.5) The radius of circle is 4.8477Explanation:

Q: What does 2 number cube rolled sequentially mean

A: The phrase '2 number cube rolled sequentially' refers to a scenario in probability and statistics…

Q: f(x) x-2 g(x) Use the graphs of f and g and their tangent lines at (2, 0) to find lim y 2 1 y = 1.9…

A: Step 1:From the graph of f(x) and g(x), we can see that f(2) = g(2) = 0limx→2​[g(x)f(x)​]→00​ form…

Q: 5

A: The required volume isV=2π(tan1−1)=3.5022Explanation:Given curves are:y=sec(x),y=1,x=−1,x=1 Step 1:…

Q: (BC Topic) (Technology Permitted) A polar curve is given by the tangent line to the curve at Select…

A:

Q: For this series, decide whether it converges absolutely, converges conditionally or diverge. Justify…

A: By the Alternating Series Test, the series converges.Explanation:

Q: A calculator may be used on the following questions. A particle moves in the xy-plane so that its…

A: Given that the acceleration vector for  time  is  and velocity vector at is .