The function f(x) = 2x + 3x^-1 local minimum and local maximum

Q: Find the domain of the function. f(x) = 2 x³ 3 x - 7x+6 The domain off is (Simplify your answer.…

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Q: Describe the transformations necessary to transform the graph of f(x) into that of g(x). Write your…

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Q: 3. Suppose that a is a double root of Ak+ak-1-1+...+ a₁λ + ao = 0. Prove that the sequence (yn)n =…

A: Explained in detail in the below.Explanation:Given that, α is a double root of λk + ak−1 λk−1 +...+…

Q: Consider the parametric curve r(t) = (t³, -t²). Determine which of the following graphs is the…

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Q: dx |x-1|

A: To evaluate the following integral.

Q: Plot the point where 0 = - -π

A: 1) The point where θ = -π is shown below 2) The points where sin θ is located is shown…

Q: A bacteria colony increases in size at a rate of 4.0568e1.5t bacteria per hour. If the initial…

A: A bacteria colony increases in size at a rate of  bacteria per hour.If the initial population is 42…

Q: 10 -6 -5 -4 -3 -2 -1 8 4 2 2 -4- -6- -8 -10+ The function graphed above is: Concave up on the…

A: The graph of a function is given below.To find the intervals of concave up and down and the point of…

Q: Write a degree 2 Taylor polynomial for f(x) = −5 cos(-3x) centered at î = ل ان 3

A: The given function is The Taylor polynomial of degree  with ceter

Q: Evaluate the following integral ff y dA. Where R is region bounded by three lines: y = 1, y = 2 x…

A: Given that the region is bounded by the lines

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: The given function is .The objective is to find the concavity intervals of the function.

Q: Heron's formula for the area A of a triangle with sides of length a, b, c > 0 is A = √√√√s(s − a)(s…

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Q: let à = (3,4,5) and To (5,2, 6) a Find (2-6) x (a+b)

A: We need to find out the cross product.

Q: Solve. log6(q) = -7 q

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Q: Sketch the region bounded by the graphs of: f (x) = x^, y = 1 and then find its area.

A: Given that the region is bounded by the graphs of

Q: Compute the center of mass on a rod of density p(x) = 3x³ + ze¯ with z € (0,3). H = Round to 4…

A: Given: a rod with density To find:center of mass

Q: S 2 xdx 24-1

A: To evaluate the following integral.

Q: 1. Evaluate the limit, if it exists: lim a. 0 b. does not exist 2. Evaluate the limit: lim x-8+ a. 0…

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Q: Please solve the following calc 3 problem

A: The objective of this problem is to calculate the work done in sliding a box along the ground. The…

Q: 2 Let f(u)=√ and g(x)=u=3+9x². Find (fog) (3). (fog)'(3)= (Type an exact answer.)

A: We need to find out the derivative of the composite function.

Q: The sixth degree term of the Taylor series expansion for f(x) = e Select one: a. O b. O c. O d. - 1…

A: To determine the coefficient of the sixth degree term of the Taylor series expansion for  about .

Q: What are all values of a for which the series Select one: O a. 9 15 O C. a < 12 O d. a <9 3 X k=0…

A: The given series is .The aim is to find the values at which the given series is converges.

Q: The area of the shaded rectangle in the figure is A = /h. The possible errors in the length and…

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Q: Find the derivative of the function g(x): = ex 4x - 1

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Q: lim t-0 sin t In (2et-1) (A) -1 (B) 0 (C) 1/1/1 2 (D) 1 =

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Q: A cone will be inscribed in a sphere of radius 11 in. Part A: Find the exact dimensions of the cone…

A: Maximimize volume

Q: dy Find if y= dt dy dt 11 1 2 u²+u and u = 4 + 5t.

A: The given function  and

Q: te √e³x Evaluate 3x cos 4x dx.

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Q: Consider approximations to the gradient of the curve y = e* at the point where x = (a) What is the…

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Q: y=u (1+u³)* and u = (3x - 2)²

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Q: (a) In e² = (b) elh3. (c) en √3 (²) e4 (d) In

A: (a)A=ln⁡e7Using property of logarithmloga⁡mn=nloga⁡m

Q: If f(x, y) = xy² + arctan(cosx), then fyy is

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Q: Evaluate the following integral. S 48x² (x−21)(x+7)² 48x² (x-21)(x+7)² S. dx dx =

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Q: 3. Use the Ratio Test to determine whether the series converges or diverges. Show all your work. n=1…

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

Q: Determine the area of region between y = |x²_9 | and y=9 Note: In this problem you should set up and…

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Q: 5x+2x+3 f(x) = √x

A: f(x)=5x2+2x+3x

Q: Evaluate 3+ at (1,0)=(5,5) for the function w(x,y) = 2y-y²; w(x,y)=zy-y²; x=U-v₁ y= uv

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Q: Let f(x) = 3x² + 17x + 20 2x² - 1x - 3 This function has: 1) A y intercept at the point 2) x…

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Q: graph linear inequlity  11t &gt; 7

A: The required answer is given below.Explanation:

Q: Let f(x) = 2(x-7)2/3 + 8. (a) Find the interval(s) where f(x) is increasing. (Enter your answer…

A: Let (a) To find the intervals of increasing.(b) To find the intervals of decreasing.(c) To find the…

Q: If f'(x) = 10x⁹, what is f(x)? (Remember the constant of integration.) f(x) = X

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Q: Compute f' and find an equation of the tangent line to the graph at x = a. f(x) = 11x³, a = 5. (Use…

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Q: Please aolve

A: The given limit does not exist.Explanation:

Q: Consider the following. f(x, y) = 3x² - y (a) Find the gradient of the function at P(2, 10). Vf(2,…

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Q: Consider following relations on the set of positive integer: R₁ = {(a,b) | a> b} R₂ = {(a,b) | a = b…

A: The objective of the question is to determine which of the given relations are symmetric and which…

Q: 6. Find the derivative of the following. *SIMPLIFY your answer: 2x a) f(x) = (√2/² 4x-x 2 b) f(x) =…

A: The given functions (a) (b)

Q: Given y= (3x^2+2x-1) / (x+1) determine - a) all restricted values b) all missing points (x, y) c)…

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Q: Speeds of a Michaelis-Menten enzyme reaction v (in micromolar/minute) as a function of the substrate…

A: Hence solved.Explanation:a) For Straight line transformation = ([s]1​,v1​) b) Given : y= 0.500981 .…

Q: Find the equation of the tangent line to y = 7e* at x = 8. (Use symbolic notation and fractions…

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Q: Your automobile assembly plant has a Cobb - Douglas 0.4 0.6 production function given by q = xy,…

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