Write the equation in logarithmic form. (-) 3 -5 = 243

Q: Use the Trapezoidal Rule with n = 4 steps to estimate the integral. 0 0 O 02-6) dx 을 3/

A: H=∫-11(x2+6)dx∆x=b-anT4=∆x2f(x0)+2f(x1)+2f(x2)+2f(x3)+f(x4)

Q: Calculate line integral 9 F-dr, where F(x, y) = (x² + y, 3x −y) and C is the positively oriented…

A: To calculate the line integral of the vector field F along the boundary curve C, we need to…

Q: 0.7t The concentration of a drug t hours after being injected is given by C'(t) t² + 64 the…

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Q: An electric charge, Q, in a circuit is given as a function of time, t, where C and R are positive…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. kindly repost…

Q: Find the linearization L(x) of the function at a. 3 f(x) = √√√x, X, L(x) = a = 125

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Q: Evaluate (2x + y)ds, where C is the line segment from (0,2) so (3,-2), i.e., C: r(t) = (3t, 24t), 0…

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Q: Find and sketch the level curves f(x,y) = c on the same set of coordinate axes for the given values…

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Q: A2. Find the third order de a. F(x) = 3x³ - 5x + 1 Y=3t+2et b. c. Find the Inverse F

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Q: On which interval ƒ(x) = − 3x is increasing? 4 O a. (-∞, -2)and(−2, 2) O b. (-2,2) c. (-∞, -2)and(2,…

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Q: (b) Indicate whether the first function of each of the following pairs has a smaller, same or larger…

A: (i) n(3n+7) = 1021n2          Because  3n2 +7n = 1021n2  , here, first function and second function…

Q: Question 6 Determine the center of mass (x, y, z) of the homogeneous composite solid with a…

A: Determine the center of mass?

Q: Which of the following properties describe the sequence {} O O O Not bounded and not monotonic…

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Q: Consider the differential equation = 5(2x+3) sin(x²+3x+). dx Part A: Find the equation of the line…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Make a table of values that shows the function values of f(x)=x²-1 together with those of g(x)=3*…

A: f(x)=x2-1g(x)=3x

Q: Find f-1 (x) for f (x) = x2-9, x>0 оо o O f-1¹(x) = -x² +9 O f-¹(x)=√x + 9 O O f-1 (x) = 1 x² +9…

A: According to question,Given Function,fx = x2-9

Q: Identify the x-intercepts for: f(x)=x²+x-12 O (0, -4) (3,0) O (-4,0) (3,0) O (0, -4) (0, 3) O(-4,0)…

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Q: Find the differential of the function. y = √5 + cos(0)

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Q: Use the graph of f '(x) below and the letters A, B, C, D, and E representing x values to answer the…

A: Use the concept of derivative, increasing and decreasing of any given function.

Q: been modelled as a = e4xx. 4 The acceleration of an object moving in a strange way has a) Use…

A: The acceleration of an object moving in a straight way has been  modeled as a=e4xx. (a) By using…

Q: Calculate the value of triple integral f (yz)4dV, where R is bounded by the paraboloid x = 1- y²z²…

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Q: Find the smallest positive root of the equation ex cos(x) 201 Correct to 4-decimal Places, take Xozl…

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Q: Find the indefinite integral dx (3+5r)2 dx

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Q: Let u = i- 3j+5k, v = i + j and w = 2i + 2j — 4k. Find ||u+v||. NOTE: Enter the exact answer.…

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Q: Consider the function f(x) = (x + x)² +9.

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Q: 6. f(x) = (x+3)(x - 5)√x-3

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Q: Find the interval of convergence for the given series. ∞ Σ(n+ 5)!(x + 11)" n=0 Select the correct…

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Q: A car drives from Tucson to Phoenix, and is d miles from Tucson after t hours. t d 0.5 1 43 1.5 2 3…

A: Answer: The solution is given below:

Q: Evaluate the following summations. (a) _ Σ = 4k2 + 5k – 3 n-1 k=1 (b) Σ+1 i=1 Σ=&ij

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Q: Consider the function f(x) = −2x² + 4x - 11. f(x) is increasing on the interval (-∞, A] and…

A: Topic= Application of derivative

Q: Find the norm of v. NOTE: Enter the exact answers. (a) v = (1, -1) ||v|| = 1 (b) v = -6i+ 3j ||v|| =…

A: Use the formula for the norm of a vector V.

Q: Suppose f(x) = x³ – 6x² - 63x + 10. Find the absolute extrema of f on each of the following…

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Q: QUESTION 1 If f(x) =x and g(x)=k-x are orthogonai 01 를 o oo o Im ~/ |m t/m 04 04

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Q: Given the the function y₁ = 4 is a particular solution of the differential equation x2y" - 7xy +…

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Q: The functions are all solutions of equation: C = с y = x² + € / xy + 2y: = 4x², (x > 0). Find the…

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

A: To find the absolute maximum and minimum of the given function

Q: r = ep 1 - ecose

A: Given    r=ep1-ecosθ

Q: integration by parts [( (x³ + 3x)e³x dx

A: Given :∫x3+3xe5xdx

Q: Determine the sum of the series

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Q: Find the 62th derivative of the function f(x) = cos(x). The answer is function Panch Peghama CO200…

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Q: The family of functions is solution of the equation C = -2x y = ce + e y + 2y = e. Find the constant…

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Q: 4 Replace the polar equation r sin 0-3 cos with an equivalent Cartesian equation. Then identify the…

A: Put x=r cosθ , y=r sinθso r=4 sinθ-3cosθgives, r sinθ-3r cosθ=4or, y-3x=4or, y=3x+4 This is the…

Q: A search using the web search engine BingTM for "asteroid" yielded 25.1 million web sites containing…

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Q: A swimming pool whose volume is 10, 000 gal contains water that is 0.01% chlorine. Start- ing at t=…

A: Given that , Volume = 10000 gal chlorine = 0.01% Rate = 5 gal/min

Q: Find and sketch the domain of the function. f(x,y)=√y-6x-5

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Q: The regular price of a pair of jeans is x dollars. Let f(x) = x - 12.50, where frepresents the price…

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Q: Let S be the paraboloid y = x^2 + z^2. Find a parametric representation for S and its tangent plane…

A: The given data is: Let S be the paraboloid y=x2+z2 Find a parametric representation for S and its…

Q: Calculate the Wronskian, W(y₁, ₂'' 1 if the set is linearly independent or not. 1. y₁ = sin2x, y₂ =…

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

Q: Find u and v if u+3v = 3i-k and 2u-v=i+j+k. NOTE: Enter the exact answers in terms of i, j and k. u=…

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Q: Find the mass of the lamina that occupies the region D = {(x, y): 0 ≤ x ≤ 1,0 ≤ y ≤ 1} with the…

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Q: Find the missing value. y is directly proportional to x and inversely proportional to the square of…

A: Use the concept of proportional and simplify the problem.