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Q: Approximate 181/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

A: We need to approximate value.

Q: The function f(x) = sin(x + sin 10x), 0 ≤ x ≤ π, arises in applications to frequency modulation…

A: See the details solution in below

Q: 26. √100.5

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Q: 16² - 15 $+

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Q: A constant force F = -3₁ +2j-1k & is applied to a object that is moving along a straight line from…

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

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Q: Find the linearization at x = a. 9x² x-3,9=11 (Use symbolic notation and fractions where needed.)…

A: We can find the Linearization function in the below steps using the given datas.

Q: 5. Find the arc length of each curve (integrate by hand) b) y = x/2 on [0,60] a) x = -8y-3 on [-2,6]…

A: Given data, a) x=-8y-3 on -2,6 b) y=13x32

Q: irections: Consider the following function f(x). se the logarithmic laws to rewrite this function in…

A: Given query is to expand the logarithmic expression and find the values of coefficient.

Q: Use the method of reduction of order to find a second linearly independent solution 32 (a) (b) x²y"…

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by x2 compare this DE…

Q: q are constants. Assume further that y is a differentiable function of a such that x²y = (x+y)p+q.…

A: To find the derivative using logarithmic differentiation

Q: Evaluate the double integral. J log (6) 4y 5x5 +1 D = {(x, y) | 0 ≤ x ≤ 1,0 ≤ y ≤ x²} dA, D=

A: NOTE: Refresh your page if you can't see any equations. . limit of x and y are

Q: Find Distance and Equations in R³ Find the center and radius of the sphere with equation (x − 1)² +…

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Q: 3. The population of Sometown was 12,000 in 2000 and grew to 15,000 in 2010. Assume that the popu-…

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Q: Evaluate the double integral by first identifying it as the volume of a solid. 12 18 (8 - 4y)dA, R=…

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Q: 4. Maximize the daily output in producing x₁ chairs by Process P₁ and x2 chairs by Process P₂…

A: As per our guideline we supposed to answer only first question    Daily  output   Z= x1+x2 subject…

Q: Find the second derivative of the function f(t)= t³sect. Of"(t)= t³sect(20+tsect+10ttant+ftan²t)…

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Q: what is the derivative of the inner function?

A: We have to tell the derivative of inner function

Q: 3) Find y" if y= 9 sin x.

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Q: Differentiate y = 6 + sin x x + cos x

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Q: 32. f(x) = x² - 6x² + 5, [-3,5] J Lada.

A: The given function is; f(x)=x3-6x2+5, [-3,5].

Q: Brain weight B as a function of body weight W in fish has been modeled by the power function B =…

A: We need to find rate of Brain growing.

Q: Find the point on the ellipse x² + 4y² + 2xy = 12 with the greatest x-coordinate.

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Q: 6. A curve passes through the point (4, 2), as shown in the figure. If from any point P on the…

A: Let's find equation of curve.

Q: A light truck with manual transmission has a circular brake drum with a diameter of d 300…

A: Solved Below

Q: og of 9-14 Find the intervals on which f is increasing or decreasing, and find the local maximum and…

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

Q: a) y = cos 2x on [0,1] b) x= on [1,10]

A: 6) a) y=cos(2x) on [0,π] the length of the curve is given by  L=∫ab(1+f'(x)2) dx here f(x)=cos(2x)…

Q: Consider the parabola given by the equation: f(x) = - 4x² - 6x + 7 Find the following for this…

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Q: The expression sec² x tan³ x √tan² x+16 Otrigonometric substitution O algebraic substitution O…

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Q: a) 2₂x5e-x² dx b) 510 cos(5t) dt

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Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s +…

A: Given;- Fs=1.1s+0.054s2 ft

Q: A constant force of 50 lb is applied at an angle of 48° to pull a handcart 41 ft across the ground.…

A: Force, F= 50 lb  Angle with base = 48°  Displacement = 41 feet

Q: Use the total differential to approximate the change in a function of two variables. Find the…

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 Find lim x 27 Find lim 5 4 3 2 1 x → 2 + -5 1…

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Q: 3. a) For what values of p is the integral cl sin b) In th x(In x)P da convergent?

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: B. At what rate the probability of de- veloping cancer increase with solar ex- posure

A: Given P(x)=e-2+x+3x21+e-2+x+3x2

Q: Evaluate the double integral. 116 4x². (+² + 2y) dA, D is bounded by y = x, y = x³, x ≥ 0

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Q: 2. In a. and b. (below), show that y₁() satisfies the given differential equation. Then, use the…

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Q: If a and h are real numbers, find the following values for the given function. The function is…

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Q: Find and classify (as a relative maximum, etc) all critical points of j(x, y) = 2x³ + 3xy + 2y³.

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Q: Describe the transformation. needed to obtain the graph of | y = = 3x +10 from the graph of y = 3 X…

A: Given function : y=−3x+10

Q: Question 35 Find the average rate of change over the given interval. Enter your answer in as a whole…

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Q: 7. f(x) = 0.2 sin²x - cos 2x, 0≤x≤ T

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Q: Given that f(x) = x¹²h(x) h(-1) = 2 h'(-1)=5

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Q: Jsing Linear f(x) = ln (x), a = 1, Use decimal notation. Give your answer to two decimal places.) Af…

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Q: Find the absolute minimum of f(x, y) = x² − 7x + y² on the triangular region R that has vertices (0,…

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Q: r(t) = (0,8 cos³ 10t, 8 sin³10t), ≤ t ≤ 4

A: I am attaching image so that you understand each and every step.

Q: c) Solve f(x)= -2√2 on the interval [-2,4x]. What points are on the graph of f? d) Use the graph…

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Q: Please see the attached image and answer the

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: NOTE: Refresh your page if you can't see any equations. . here we have