Use l'Hôpital's Rule to find the following limit. 9h e lim h→0 - (1 + 9h) 2 5h

Q: Use the given graph of f to state the value of each quantity if it exists. If the quantity does not…

A: We need to find out the limits for the given graph.

Q: A continuous function y = f(x) is known to be negative at x = 8 and positive at x = 9. Why does the…

A: Topic - Functions We are given A continuous function y=f(x) is knoe=wn to be negative at x=8 and…

Q: As Claudia walks away from a 264-cm lamppost, the tip of her shadow moves twice as fast as she does.…

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Q: Express the given quantity in terms of sin x or cos x. sin (2-x) O A. sinx O B. cos x - sin x O C.…

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Q: Evaluate the indefinite integral using U substitution. [x³e²³ da dx

A: I=∫x6ex7dxformula used ∫exdx=ex+cdxndx=nxn-1

Q: Solve the seperable equation for u du/dt=e4u+6t Use the following initial condition u(0)=-13 What…

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Q: The manufacturer of Caramalt chocolate bars wants to implement a 7.5% increase in the unit retail…

A: Topic - Percentage change  We are given The manufacturer of Caramalt chocolate bars wants to…

Q: 18. Find the general solution of (D³ + 3D2 + 3D + 1)y=U y = √(₁₂₁ +c₂x+c₂x² /ex √(C₁+C₂x+c² x ² Je 2…

A: The given differential equation is: D3+3D2+3D+1y=0   So, the auxiliary equation is: m3+3m2+3m+1=0

Q: Use the substitution formula to evaluate the integral. 3x/4 x/4 (7+ cot 0) csc ²0 do

A: Given :∫π43π47+cotθcsc2θdθ

Q: (3) Given h(X) (4) Let g(x) = cos(n(x + 2)) −3 and h(x) =+x-.If f(x) is a function that satisf (B) 1…

A: Find solution

Q: Evaluate f(x + 3) when f(x) = 3x² + 4x − 4

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Q: If f(x) = 2 + 6x 2x², find ƒ'( − 4).

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Q: 03 * Where is f(x) = x² e not increasing O(-infinity, 2) and (2, +infinity) O (-infinity,2] and (2,…

A: Given query is to find the interval where f(x) is not increasing.

Q: You are in charge of the evacuation and repair of the storage tank shown here. The tank is a…

A: We need to check if we can hire the firm.

Q: 2. Let f be defined by { x 0. f(x):= I 0 Using the definition of the derivative, verify if f has a…

A: We need to find derivative.

Q: 2 8 3) (5x² - 4x) dx = in(cinA) (cose)de

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Q: Use graphical approximation methods to find the point(s) of intersection of f(x) and g(x). f(x) =…

A: first of all plot the graph by using any graphical tool (demos)

Q: Differentiate f(x) = 8√3x³ + 10x6. Simplify your answer and enter it without fractional or negative…

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Q: The figure shows retail sales s of electricity, in quadrillion kWh, to residential consumers with…

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Q: Consider the following function. = √√x8 + 1 (a) Make a sign diagram for the first derivative. f(x) =…

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Q: Find all points where the parabola y = 9 - x² 1 intersects the line y = zx+6. 2

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Q: Find the derivative of y with respect to the appropriate variable. y= (2 – 20) tanh 10 O A. O B. O…

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Q: Integrate the following. Reduce answers to its simplest form if possible. (b) Stan* ydy

A: Topic = Integration As per guidelines , at a time only one question can be solved out of different…

Q: If ƒ(x) = (2x² − 2)(7x + 3), Use the product rule to find: ƒ'(x) = ƒ' (2) =

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Q: Let f(x) ƒ'(x) = = f'( − 2) = - 2x - 1). Compute each of the following.

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Q: 4. Find all values of m that are solutions to the equation: log₂ (m6) + log₂ (m + 1) = 3

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Q: 8. Solve the equation 2(y - 4x² dx + xdy = 0. 2 4 a. X x² + 2x²y = cc. x4 - 2x²y = c b. (x + y - 1)2…

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Q: QUESTION 35 Which of the following is the linearization of f(x) = x4 + 3x², if a = -1? L(x) = -10x +…

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Q: Use l'Hôpital's Rule to find the following limit. sin (x) - X lim X→0 2x³

A: Please refer to the image below

Q: A company charting its profits notices that the relationship between the number of units sold, x,…

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Q: A shipment of fruit is delivered to a warehouse. The boxes containing the fruit also contain fruit…

A: given  p(t)=1100-1100(0.9)t

Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…

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Q: can you please rewrite the resultant acceleration equation.

A: We need to write the expression of resultant acceleration.

Q: If log (95) + log(y) = log(z), then 95 + y = z. ---Select--- If In(95x) = In (y), then 95x = y.…

A: (1)  given  log95+logy=logzfrom properties of log loga.b=loga+logbif loga=logb, than a=b

Q: Problem 1. Suppose fis continuous and that for all x > 0, So tf(t) dt = sin(x) = x cos(x) (a)…

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Q: 16.) y = log log x 17.) y = x+1 Find the derivatives of all functions. x 18.) f(x) = In 4-x² 19.)…

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Q: Find an equation of the tangent to the curve f(x)=√√x+4 that has slope 4

A: The equation of the curve is given as  f(x) =x+4. The slope of the tangent, m= 1/4.

Q: Find the derivative of the given expression. y = 6x + ln(x4) y' = ___

A: given  y=6x+lnx4we know  d dx(xn)=nxn-1d dx(lnx)=1x

Q: 3) Find the equation of the plane through the point (2,3,1) that is perpendicular to the line L:…

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Q: Question 2. The second order linear homogeneous differential equation y" — 2y' — 15y = 0, has a…

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Q: Complete the parametric equations for the line where the planes 2x + z = - 3 and 2x3z = 9 intersect.…

A: Given equation of plane is 2x+z=-3 and -2x-3z=9

Q: 1 1-x // 0 x-1 x dy dx

A: Given integral:- ∫01∫x-11-xxdydx

Q: - Find f(a), f(a + h), and the difference quotient f(a + h) − f(a), where h = h f(x) = 7 - 9x + 3x²…

A: given  f(x)=7-9x+3x2for  f(a)  put x=a in f(x)

Q: The points P(1,6) and Q(x, y) are on the graph of the function f(x) = x² +5. Complete the table with…

A: NOTE: Refresh your page if you can't see any equations. . the point P is  the given function is…

Q: = The triangle inequality assures us that ||ỷ + w|| ≤ |||| + ||w||. Let v = (2, -3) and find a…

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Q: 3 Given the initial value problem y' + 79 you should have an integral in your final answer.) sin(t)…

A: Given differential equation:- y'+3ty=sintt2et,t>0,y1=3

Q: Which part of this statement is true  The eigenvalues of a unitary matrix are either +1 or −1 and…

A: The eigenvalues of an orthogonal matrix are always ±1. the eigenvalues of a unitary matrix are all…

Q: 1. Write the equation of the line that passes through the point (−1,2) and is perpendicular to the…

A: We have to find equation of line.

Q: Find the domain and range of the function. - 3 √√2+1 g(z) =

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Q: Sketch an example of a graph of function f that meets the following conditions: Lim x > -3- f(x)…

A: The conditions are given as: x→limit-3-fx=3x→limit-3+fx=2x→limit-3fx=-1x→limit3+fx=2f-3=2f3=0 In…