1: Evaluate the following derivative: (VZx √1-√x y = √2x

Q: 15. Obtain the differential equation of the family of straight lines through the point (5, 2).…

A: The given point is (5,2).

Q: Use the graph of y = f(x) shown to the right to graph the following function g. g(x) = -f - 1 (1 x)…

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Q: What is the vertical intercept of the function f (x) = (x + 2)(x − 8)?

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Q: Find x' for x(t) defined implicitly by x +tx+t* -8= 0 and then evaluate x' at the point (-2,2). x' =…

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Q: Use logarithmic differentiation to find the derivative of y = (x + 1)* and then find the slope of…

A: Please see the below answer.

Q: if x -5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = I 5- Let…

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Q: If s is a distance given by s(t) = 3t4 +8t³+ 4t, find the acceleration, a(t). Question 42 of 43

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Q: If f and g are the functions whose graphs are shown, let u(x) = f(g(x)), v(x) = g(f(x)), and w(x) =…

A: Given that:- u(x) = f(g(x)) v(x) = g(f(x)) w(x) = g(g(x)).

Q: Decide from the graph whether a limit exists. If a limit exists, find its value. lim F(x) X→-4 What…

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Q: 5 The rate at which a cell absorbs an external signalling moleculez through the cell membrane can be…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: I. Annual cost of company 'X' from 2015-2019 as follows: Annual cost (£000) 8.2 8.5 8.4 Year 2015…

A: Solutions

Q: Find an equation for the line that is tangent to the curve y = 2x³ - 2x at the point (-1,0). The…

A: Given query is to find the equation of the tangent.

Q: Find the unit tangent vector T(t). r(t) = t²i + tj + — k, T(1) = P(1, 1, 4/3) RACTICE ANOTHER Find a…

A: Given data :  Find the unit tangent vector T(t) r(t)=t1i+tj+43k  p(1,1,43)

Q: Solve the equation for 0 ≤ 0 < 2π. Show all work.. cos²0 sin² 0 = -2- 3 cos 0

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Q: A retail store estimates that weekly sales s and weekly advertising costs x (both in The current…

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Q: In 2000, 48% of the residents in a large city regularly used newspapers for getting news and this…

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Q: Find the scalar and vector projections of b onto a a = (-3, 4), b = (7,9) scalar projection of b…

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Q: An object dropped from rest from the top of a tall building on Planet X falls a distance d(t)=81²…

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Q: Suppose the daily cost function for fridges produced at Friga's Frigid Fridges is represented by the…

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Q: What about the type of point? It says it's not a minimum.

A: We need to write down that the point is minimum, maximum or saddle point.

Q: 5. Sketch the solid in the first octant that is bounded by the graphs of 22 +22= 9, y = 2x, y = 0…

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Q: The cost function of a firm is given by C =2x2+x-5. Find (I) the average cost (II) the…

A: given  C(x)=2x2+x-5(i) formula for average cost is aversge cost=C(x)x

Q: Question 3 Integrate: 8x +5 x² + 2x + 2 -da + C

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Q: 12. A car is moving at a constant rate of 70 mph. (a) write a change equation for the car. State…

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Q: 7. Given y = pq, find dq/dt when p = 15, q = 40, dp/dt = 55, and dy/dt = 54,750.

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Q: Approximate the derivative of the given function at the given point using small values of h. f(x) =…

A: Given:       fx=6x1/x ; a=4    we know that         f'a=limh→0fa+h-fah here        fx=6x1/x ; a=4…

Q: A particle moves according to a low of motion s = f(t), where t ≥ 0, where t is measured in seconds…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: The demand x is the number of items that can be sold at a price of Sp. For x-p-5p +300, find the…

A: Given query is to find the derivative.

Q: When the outside air temperature is anywhere from 72° to 96° Fahrenheit, thetemperature in an…

A: The bar graph in the figure shows the temperature increase throughout the hour. The function f(x) =…

Q: 2(2x² + y²)dx - xydy = 0.

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Q: 36) 2 1² S y √8-y² (x + y) dx dy

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Q: 45° |C| =13 Find the EXACT components of the vector above using the angle shown. C = <

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Q: ite the equation of a sine function with Amplitude = 8 and Period = 3. be the equation in the form…

A: Given query is to find the equations of the sine curve.

Q: Solve the following problems completely. Show your graphical and analytical solutions. Express your…

A: 7

Q: vWrite a function g(x) that represents the exponential function f(x)=2x after a vertical stretch by…

A: Given the function f(x) and find g(x)

Q: 1. (1 − x)y' = y².

A: (1-x)y'=y2this is the case of variable seprable type

Q: How can we define the value of an exponential function at an irrational powerusing the exponential…

A: Irrational numbers are those numbers that cannot be expressed as fraction p/q.

Q: A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write…

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Q: Evaluate the integral of sec^5(x)tan^2(x)dx using trig integrals

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Q: a) 416+(33+5²)+(3×2-3) b) (7436+26²) (486+9²) c) 360+3+(5+2 x 2) - 112 d) 2x [26²+(10+4²)] +(25+4²)…

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Q: A tank contains 180 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram…

A: Let At be amount of salt at any time t  Given that Initial amount of salt=40 gram Rate of pumping in…

Q: Complete the parametric equations for the line where the planes - 6x - y + 11z = -34 and - 4x + 2y +…

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Q: Suppose that f(T) is the cost to heat my house, in dollars per day, when the outside temperature is…

A: According to tangent line approximation    Given x0=23    and  x=20

Q: 1)Find where continuous at constants a) Let f(t) = 2t √t+c for t < 2 for t≥ 2 Find c such that f is…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Determine the direction where the function below decrease most rapidly at the point (1, 1, 1). f (x,…

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Q: 7. The line through the points (0, 2, 1) and (2, 1, −3)

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Q: Find the derivative of the function f by using the rules of differentiation. f(x) = (1 + 2x2)2 +…

A: Topic = Derivative

Q: 2. Consider the functions g, h: R → R defined by g(x) = x² and h(x) = x³ + 1. A. Evaluate f(g(x) ·…

A: g(x)=x2h(x)=x3+1∫xndx=xn+1n+1+c

Q: Given the function f(x), Priya finds f'(x) and then finds that f(4) = 8 and f'(4) = 10. Use this…

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Q: Let f(x) = lim f(x) 3 2x + 12 if x > -4 Calculate the following limits. Enter "DNE" if the limit…

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