dy 1 Find dx if y= 5x-9 x=1

Q: Let f(x) = 3√x - 6x. (a) Find the interval(s) where f(x) is increasing. (Enter your answer using…

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Q: Find the tangent vector for the position vector r(t)=ln(1-t)i+(t-t^3)j+e^-3t k

A: Explanation of the answer is as follows

Q: 3. Find the principal unit normal vector N(t) at the point (5, 1, 0) for the curve defined by…

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Q: Find the total derivative of the following functions. (a) u = In (1+se²t). (b) z= r coshy+ysinh r. w…

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

Q: Let z be a number that satifies the Mean Value Theorem for f (m) on the interval 4 ≤m ≤ 16. What is…

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Q: 7. Let f be function such that f(1)=7andf′(1)=12. Find h′(1) for the function h(x)=f(x)f(x).

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Q: 5x+2x+3 f(x) = √x

A: f(x)=5x2+2x+3x

Q: • Solved x-4 y2

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

Q: 5. Find the general solution of the difference equation Yn+22Yn+1+Yn = 6n.

A: General solution of the given difference equation is:Explanation:To find the general solution of the…

Q: 5. Find the linear approximation of f (x, y, z) = x³y² + 22 at the point (2, 3,4). Use this to…

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Q: Find the point at which the line meets the plane. x = 4 + 3t, y = −2+ 6t, z = 2t; x+y+z=2 The point…

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Q: Please help evaluate each sum knowing that f(x) = x2, g(x) = 3x , & h(x) = 2/x

A: f(x) = x2, g(x) = 3x , & h(x) = 2/x

Q: lim t-0 sin t In (2et-1) (A) -1 (B) 0 (C) 1/1/1 2 (D) 1 =

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Q: Let / be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x…

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Q: Find the center of mass of a laminate bounded by y=−x,y=x,y=2 with variable density modeled by \rho…

A: The objective of this question is to find the center of mass of a laminate with variable density.…

Q: 18.2 Well water having a total hardness of 300 mg / L as CaCO , is softened by split treatment . A…

A: The objective of the question is to calculate the regeneration period, the hardness of the finished…

Q: Suppose that the marginal propensity to save is ds 0.20 (in billions of dollars) dy and that…

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Q: 3. Suppose that a is a double root of Ak+ak-1-1+...+ a₁λ + ao = 0. Prove that the sequence (yn)n =…

A: Explained in detail in the below.Explanation:Given that, α is a double root of λk + ak−1 λk−1 +...+…

Q: Find the arclength of the curve y x2 28 -In x where 4 < x < 9 72

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Q: 5 -4 -3 8 7 6 5 3 8 16 20 2 3 405 Use the contour map to estimate the value of f(4, 5). f(4, 5) ≈

A: To estimate the function value at a certain point on a circular contour map, you can follow these…

Q: 2. Determine whether each of the following functions is a solution of Laplace's equation, Urz+uyy =…

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Q: A bacteria colony increases in size at a rate of 4.0568e1.5t bacteria per hour. If the initial…

A: A bacteria colony increases in size at a rate of  bacteria per hour.If the initial population is 42…

Q: Let f(x) = x³ - 8x² - 12x + 3. (a) Find all partition numbers of f'(x). (Enter your answers as a…

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Q: Consider the graph of f. 4 3 y + 1 2 3 4 5 6 7 8 9 +X Determine the correct statement(s) about…

A: The only correct options are:   Option a, c and d. else all options are…

Q: CALCULATOR REQUIRED x g(x) 0 2 1 -3 2 5 3 4 Selected values of the twice-differentiable function g…

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Q: Please aolve

A: The given limit does not exist.Explanation:

Q: (5.) Let u(x, y) = ln(x² + y²) (a. (b. C State the domain of u: Determine lim f(x, y) (x,y) →(1,0)…

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Q: Which of the following limits does not yield an indeterminate form? 4x3 x0 cos(x)-1 (A) lim (B) lim-…

A: The indeterminate form:

Q: Let G be a simple graph. Show that the relation R on the set of vertices of G such that u Ru if and…

A: The objective of the question is to prove that the relation R on the set of vertices of a simple…

Q: The incorrect answer is 703.36.

A: The estimated change in area 703.72 mm² (Final answer rounded to 2 decimal places)Explanation:The…

Q: Determine the following limit lim (1+t) - 1/ t 1

A: The answers is as follows:limt→0​t(1+t)−21​​−t1​=−21​.Explanation:Steps and explanations are as…

Q: Let f(t) = 8t2/3 + 5/3 (a) Find all partition numbers of f'(t). (Enter your answers as a…

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Q: Consider the equation ex+4y+ 5x + 16y + sin(xyz) +20= = 1 The implicit function theorem implies that…

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Q: Let f (x) = x3 − 9x.Find all numbers c in the interval (-5, 0) for which the line tangent to the…

A: The objective of this question is to find all the numbers 'c' in the interval (-5, 0) for which the…

Q: f(x) = = -9x 1- x

A: f(x)=−9x1−x

Q: Let f(x) = |=| ƒ' (5). 0= √x-4 √x +4 Find f'(x).

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Q: find the arc length of the curve on the given interval.

A: The objective of this question is to find the arc length of the curve defined by the vector function…

Q: a. 3+4+5+...+93 +94 b. 3+6+9+...+30 c. 9+16+25+36+...+144

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Q: 4. From the following function determine Domain, Range and graph f(x) 4- x² +2

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Q: Find by implicit differentiation, where 3x5 + 7x¹y - 6xy5 = 2. dy dx

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Q: Evaluate the integral or state that it diverges. Ĵ 0 (3v) 1+9v² 30 tan -dv

A: The given integral .The objective is to find the integral value.Formulas used:

Q: Let f(t) = 3t2/3 + 5/3 (a) Find all partition numbers of f'(t). (Enter your answers as a…

A: Note:As per our guidelines we are supposed to answer only first 3 subparts if there are multiple…

Q: 05. Write in sigma notation: 2 + 4 + 6 +8 + i-1 8 X2i =] 2i 22 i=0 0 16 i=2 + 16

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Q: Evaluate the following integral. S 48x² (x−21)(x+7)² 48x² (x-21)(x+7)² S. dx dx =

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Q: For each pair of integers m and n, use the division algorithm to divide m by n. Write the result in…

A: Given:pair of integers m and n.To find:Use the division algorithm to divide m by n.

Q: 3. Sketch a graph of y = 3 sin(2x-π) + 2. List below 5 points of 1 cycle.

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Q: 2. Find r(t) when r"(t) = i + 2ĵ, r¹(0) = Ê, and 7(0) = i.

A: r=(1+2t2​)i^+t2j^​+tk^Explanation:

Q: (2.) r(t) = (t, cos(2t), sin(2t)), t = [0, π] describes one circular arc of a helix. (a. Determine…

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Q: Let f(x) = 1. f'(x)= 2. f'(3)= tan(x) - 5 sec(x) Find the following:

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Q: Suppose that  3 ≤ f ′(x) ≤ 5  for all values of x. What are the minimum and maximum possible values…

A: The question is asking us to find the minimum and maximum possible values of the difference between…