Let us try to find where a function is increasing or decreasing given the following.  1. h(x)=−x3 + 3x2 + 9

Q: Solve the problem. Evaluate at (u,v) = (4, 1) for the function w(x, y) = xy - y 2; x = u - v, y = uv...

A: We will find the partial derivative. 

Q: Find the limit of the following functions x 5 +3 x3−2 as x→2 X3 +4/X-4  as x→4

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Q: 3. Integration by parts: 3x d x (V3 2x+4

A: To find out the integration.

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Q: On the graph of f(x) = cot x and the interval [27, 47), for what value of x does the graph cross the...

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Q: Find f ogoh if f(x) = g(x) = x", h(x) = x + 3. 10 x+1'

A: First we find out g o h then f o h. Follow 2nd step.

Q: Find the set of solutions for the linear system + 3x2 3x3 -10 %3D X1 X2 4x3 -3 4x3 -8 Use s1, s2, et...

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Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 6% of the drug...

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Q: y = 6x² – 4x, - dy Find dt dx = 7,x = -2 dt

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as ...

Q: Find (d^(2)y)/dx^2 if y=sin(x)cos(x)

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Q: Xt 2X2 -5 Xi + X2 + 2X, -2

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Q: Find the derivative of the function. 7 x - 3 y'(x) = Need Help? Read It

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Q: Express the vector as a product of its length and direction. 6j - 8k 100- 10(j - k) 3 10 j O 10(6j -...

A: We have to find out the vector

Q: for an equivalence relation R on A, both sets, the class of equivalence classes of R —A/R— is a set.

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Q: Suppose that f is a linear function with slope 2.2 and that f(5) = -3. What value of x gives f(x) = ...

A: We have to find out x value for which f(x)=0

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

A: Given:- Find the equation of the normal line of the function y = 1/(x - 1) at x = 3

Q: Create your own examples. Formulate one given 3x3 equation (3 equations and 3 unknowns). Solve each ...

A: Let the system of equation be      x-y+z=42x+y+z=7-x-2y+2z=-1

Q: x'cos x dx cos x Jo

A: LetI=∫0πx3cosxdxUse integral by partsI=x3∫cos(x)dx-∫∫cosxdx.ddx(x3)dxI=x3sinx-∫ 3x2sinxdx0π         ...

Q: u = 3 + x² V3+ x²

A: We can find the integral as below using substitution method

Q: gien oferdone (D- JI) (D +3I); the to the grven finctions e-3%

A: (D-2I)(D+3I)=D2+3D-2D-6I=D2+D-6I Apply the operator on e2x (D2+D-6)e2x=D2(e2x)+D(e2x)-6e2x=D(2e2x)+2...

Q: Suppose that the differentiable function y = f(x) has an inverse, that the graph off passes through ...

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Q: Let f (2) = 2 22 +6 x + 5 . We will use the definition of derivative to find the deivative of f (æ)

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Q: 2+x*dr, %3D For positive integers n, the integrals I, are given by (a) , = 26V3. Show that I, (b) Pr...

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Q: x³ +2x .3 dx x2+1

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Q: 1. y" + 4y = 4 cos x + 3 sin x – 8 %3D -

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you wan...

Q: |(1 – 32)} dx [a (1 – 43)! (1— 4х): (1 – 4x){ + C 3 + C 4 + C 3 none of the above

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Q: Find the general solution. dy - 2y +4x3 dx

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Q: 4. Evaluate each of the following. (1) E6+3. 2 &x (Recall that k = k2+k. You should have H, in your ...

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Q: Identify what law(s) are being used in each step: (p ^ q) → (p V q) (p A q) → (p V q) =T = - (pA q) ...

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Q: The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is giv...

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Q: For what values of x d X = II

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Q: 3. A circular pool with a radius of 6 feet has a border with a width of 1 foot. a. ) What is the are...

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Q: V 3x – 4 FINDTHE DERIVATIVE USING THE DEFINITION

A: Given: fx=3x-4   As we know from the definition of the derivative; The expression for the derivative...

Q: HOMEWORK 12: 1. Find the area of the largest circle which can be cut from a square of edge 5in. What...

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Q: In the 2000 U.S. Census, a small city had a population of 55,000. By 2010, the population had reache...

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Q: Find all points (x.y), where f(x.y) has a possible relative maximum or minimum. Then use the second-...

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Q: Integrate the following: 1. Integration by parts: 2 5 ex d x 3

A: Use formula of integration by parts.

Q: -7 -4 A = -12 -3 -12 8. 50 has 1 = -3 as an eigenvalue with multiplicity 2 and 1 = 1 as an eigenvalu...

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Q: The possition function s(t) = -16t² + 350 Find : (a)average velocity over the time interval 2. %3D [...

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Q: 1. Find the point on the graph of f(x) = x -8x – 5 where the tan gent line is horizontal. (SLOPE = 0...

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Q: 4. Evaluatelimx-1x-1x-1. Show your complete solution.

A: Here we can apply L'Hopital for 0/0 form. 

Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. fx.y) = - 2 + 7xy - 6...

A: We have to find the maxima and minima of the function.

Q: As broadband Internet grows more popular, video services such as YouTube will continue to expand. Th...

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Q: Find two unit vectors orthogonal to a = (4,-5, 3) and b = (-4,0, –3) Enter your answer so that the f...

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Q: (iv) Which one is the correct statement (the next step to find f' (æ) by definition)? 13(Vz +3 – VE ...

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Q: Write a chain rule formula for the following derivative. for u = f(p, q); p = g(x, y, z), q = h(x, y...

A: Given problem:-

Q: If g = 1110°, simplify the expression sin- (sin g). If undefined, enter Ø. Provide your answer below...

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Q: - (2D³ – D² + 1) (In cos x – 2 tan x)

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Q: Parabolas with axis parallel to the x-axis. Ans. y'y"-3(y")=0

A: To find:- Differential Equation of parabolas with axis parallel to x axis

Q: QUESTION 5 Differentiate a) (x2+1)ln(x+1) b)) 3 x3e3x

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