Find f'(x). 15 f(x)=(3-4x) 15 f'(x)= ☐

Q: #5 Given r(t) = (x(t), y(t)) = (4 sint, -3 cost- a) Find the tangent vector when "t=to=3π/4 (b) Find…

A: Note:-Since you asked multiple sub parts questions, according to our polciy we can solve only first…

Q: Write out the general form of the partial fraction decomposition of the function (as in Example 7).…

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Q: 8) In designing a flexible tubing system, the supports for the tubing must be perpendicular y=-4 to…

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Q: if f(x)=16x+3 find f prime of zero

A: The objective of the question is to find the derivative of the function f(x) = 16x + 3 at the point…

Q: Find f'(x) and simplify. f(x)=7׳ (x² -9)

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Q: Find the area of inside = 22cose and outside = 11 by sketching the graph of the equations using the…

A: Option B is correct.Explanation:Graph. If you have any problem let me know here in comment box for…

Q: -olve 2 cos² (w) - 3 cos(w) + 1 = 0 for all solutions ≤w<2π พ

A: Explanation of the answer is as follows

Q: Q2/Solve only three of the following differential equation: = xy 1- y' = 2

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Q: Problem #4: Consider y(t) = £¹ 3 2 3s-4 4 } (7) (a) Use partial fractions and find y(t). (b) Using…

A: AnswerExplanation:Step 1:Step 2: Step 3: Step 4:

Q: #8, Griven fry) = x²+ y²xy-3x find and classify all critical points.

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Q: Let a = . Find a unit vector in the direction of a

A: Unit vector in direction of a isa^= &lt;45​2​,45​−4​,45​−5​&gt;Explanation:Given:a=&lt;2,−4,−5&gt;…

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 400 1,200 3,600 f(x) =

A: The required model isf(x)=400(3)xExplanation:Step 1:Given table is The model takes the form…

Q: Solve by method of sines and cosines f3e3x sen² (e3x) dx

A: Since you have asked multiple question, we will solve the first one for you. If you want any…

Q: Let à =. Find |ā|.

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Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g'…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about th…

A: Given the region is bounded by the curve  and line

Q: Let f(x, y) = x³y and c(t) = (t², t³) (a) Calculate: Vf. c'(t) = (b) Use the Chain Rule for Paths to…

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Q: 5 A polar curve is given by r = (3-cos(0)) What is the rectangular equation of the tangent line at 0…

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Q: The population, P, of a bacteria colony at t hours can be modelled by: P(t) 450+130t+ 15t² + 2t3 a.…

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Q: If f'(x)=0 for all *, then a) f(x)=(x) for every x₁ x₂ c) f(x)>(x) for every x₁>x₂ d) f(x)>(x) for…

A: If  then which option is correct .

Q: Calculate ffs f(x, y, z) dS For ffs f(x, y, z) ds = y=5-2², 0≤ x, x ≤5; f(x, y, z) = =2

A: To find :- for ;

Q: Find the length of the indicated portion of the curve. r(t) (3e cost) + (3e sint)j+3e'k. - In4sts0…

A: Given:To find:The arc length is calculated as-

Q: Joxe 4x dx = +C

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Q: Find the maximum and minimum values of f(x, y) = 6x + y on the ellipse x² + 25y² = 1

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Q: Find the area of one petal of r = 9cos30

A: r=9cos⁡3θFor the area of one petalr=0cos⁡(3θ)=03θ=−π2,π2θ=−π6,π6−π6≤θ≤π6

Q: Three brands of health supplements are to be compared by testing each brand on a group of ten…

A: The objective of this question is to determine if there is a significant difference in the health…

Q: Assume that y is differentiable at every x in (-00, 00) and that for every x in (-∞, ∞0), y'(x) =…

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Q: 1. Determine if each series is convergent or divergent. If it is convergent, find the sum of the…

A: To determine whether each of the following series is convergent or divergent. If it is convergent,…

Q: 2. [6 pts.] Evaluate lim f(x) and lim f(x) for the function: f(x) xx (Hint: the limits will be…

A: Limit at infinity = 1 Limit at - infinity = 5Explanation:Step 1: Step 2: Step 3: Step 4:

Q: A continuously-increasing function that is concave down on the interval [1, 5] is r X 1 2.2 3.1 4.4…

A: The Right Riemann sum based on the table for the intervals given is the sum of the areas of…

Q: Suppose the linear approximation for a function f(x) at a = 2 is given by the tangent line y = −2x +…

A: The objective of this question is to find the values of f(2) and f'(2) for a function f(x) given its…

Q: Water is leaking out of an inverted conical tank at a rate of 12500 cubic centimeters per min at the…

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Q: Find dy dx and d²y dx² x = et, y = te-t

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Q: (9x8 - 2x - 6) dx

A: The given integral is

Q: Problem #2: Find the Laplace transform F(s) of (41²-7)².

A: f(t) = (4t2-7)2We have to gind laplace transform of f(t)i.e....F(s)

Q: Find the 800th derivative of f(x) = xex. F (800) (x) =

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Q: Find two unit vectors orthogonal to both u: (no decimals). unit vectors = = (3, -2, -1) and v = (0,…

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Q: Please help me with this, thanks!

A: The objective of this question is to find the dimensions of the garden that will maximize the…

Q: 1. f(x) = (4x2)5

A: As per our guidelines we can answer only 3 sub parts of the given question so kindly repost the…

Q: Calculate the area of the parallelogram whose adjacent sides are: a = [5,3,-1] and b = [2, −4,1]

A: Therefore, the area of the parallelogram formed by the vectors (a)  and (b) is  27.08 square…

Q: Find the length of the curve over the given interval. r = 16cos0, - 77 ≤0≤77 Π 2 505 Select one: a.…

A: ​ length of the curve =16π​Option (b) is correct.Explanation:Step…

Q: The base of a solid is the region in the xy-plane bounded by the curves y = 1- x² and y = 0. Every…

A: Given that the region is bounded by the curve

Q: Find a Cartesian equation for the curve and graph the equation. r = 6 cos 0

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Q: Q7 Continuity 1 Point Let f(x) = x - 1 if x 1 x22x3 - 2x if x 1 Find the value of c for which f is…

A: for c=49​  f(x) is continuous Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Find dy dx if y = √Inx +1. 1 dy dx 2 x √In(x)

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Q: Example 4: w=x²y+y+xz_x= cos(0) y=sin(0) z=0² dw Find dt

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Solve by trigonometric substitution 9 S. dx. x²√9-x² Draw the triangle with values on each side

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Q: 2. Compute the sum of the shaded areas. The shaded areas are half circles. Assume that the pattern…

A: Given that each successive circle has a radius that is half of the prior circle.The given figure

Q: Solve for t, 0 < t < 2π 27 sin(t) cos(t) = -12 cos(t) t = Give your answers accurate to at least two…

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Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

A: The given parametric equation is: Use a graphing utility to graph the curve represented by the…