Use the point on the line and the slope of the line to find three additional points that the line passes through. (There is more than one correct answer.) Point Slope (-9, 5) m is undefined (x, y) = ( y) = ( (x, (x, y) = (

Q: 3. Find the equation of the plane containing both the point (1, 2, 3) and the line r(t) = (t, 2t+1,…

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Q: ) solve the ode: dx - (x + y + 1)dy = 0

A: We know that derivatives power rule is - d(xn)/dx = nxn-1. And integration power rule is -…

Q: If 0 = sec (0) csc (0) = 1 -π, enter exact value for each function. 6 = tan (0) cot (0) = __ 0002

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. y =…

A: The equation is given as , y=49-x2y=x+7 find the area of the region.

Q: ∞ A function is a probability density function if it satisfies the following definition: 1: f(t)dt =…

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Q: Find the average rate of change of g(x) = - 4x³5 from = - - 3 to x = 1

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Q: a) Determine the symmetric equations for the line through P(5, 6, 10) and parallel to the line with…

A: Given that the line passes through the point P(5,6,10) and parallel to the vector r= (6,1,1)+…

Q: 1. Consider the function. f(x)=-3x³3 + 18x² 27x Step 1. Find all values of x that correspond to…

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Q: Use the comparison theorem with f(x) = = 1 √x r∞ 1 •√₂ √I-1 to show that is divergent.

A: Solution is given below:

Q: Choose the correct answer. Derivative d O 9x9 O 8x10 09x8 .9 -x is equal to dx (Hint: Look at the…

A: Given problem:- Find derivative of x9

Q: 12. Solve the problem with given initial value. y’’-6y’+9y=0, y(0)=0,  y’(0)=2 theme: repeated…

A: To find out the solution.

Q: 1. Find the general solution of: du dx _ _ y + xy² + x³ x+x²y+y² dy

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Q: problem for x as a function of t. Solve the initial-value dx (t² − 10t + 21) = 1, (t > 7, x(9) = 0)…

A: The given equation is;  (t2-10t+21)dx/dt =1 (t>7, x(9)=0)

Q: Problem 5. Find the absolute maximum and absolute minimum values of the function over each of the…

A: Here we have to find the absolute maximum and absolute minimum.

Q: If 0 = sec (0) csc(0) = - = tan(0) cot (0) = = 7 -T, enter exact values for each function. 4 7000

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Q: A truck with 22-in.-diameter wheels is traveling at 45 mi/h. Find the angular speed of the wheels in…

A:

Q: f(x) = 1 f(x) = x f(x) = cos(2x) f(x) = ax

A: Solution is given below:

Q: Find the general solution of the differential equation. y(4) + 2y″ + y = 3 + cos(4t). NOTE: Use C₁,…

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Q: 1. a) Use appropriate math terminology, from the unit, to describe the transformations that would…

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Q: Sin (Imx) = h+, hx +,hax

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Q: Find the derivative of f(x): z²+2 . Enclose numerators and denominators in parentheses. For example,…

A: Finding f'(x)

Q: ∞ Σ (tan ¹5k-tan-1 (5k-5)) k=1 ∞ The series Σ (tan k=1 -1 -1 5k - tan (5k- -5)) can be tested for…

A: Given :∑k=1∞tan-15k-tan-15k-5

Q: Let f (x) and g(x) be defined by f(x) = 2 - x      g(x) = (x2 + 2x+ 2    x < -1…

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Q: (b) Find the derivative of f (x) = (x² + 2) (8x − 5) by using the product rule. Let g (x) = x² + 2…

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Q: +∞ x sin(x2) : = - Σ n=0 (-1)" .4n+3 (2n + 1)! X

A: Let's find 7th degree maclaurin polynomial.

Q: n 4 31 1 = -—- — [7 ( ² + (1 - 1) — ) ² − 6 ( ² + ( + − ¹) -)²] Σ (i - 1). " n n n n → ∞ as a…

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Q: Find the solution of the given initial value problem 88y" +19y"+y = 0, y(0) = -5, y'(0) = 6, y"(0) =…

A: To find out the particular solution.

Q: A weight is attached to a spring suspended vertically from a ceiling. When a driving force is…

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Q: Use the comparison theorem with f(x) = 1 √x [₂² to show that 1 X- is divergent.

A: Show that ∫2∞1x-1 is divergent.

Q: 14) Find the first derivative of f(x) = 2*²2*

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Q: A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table…

A: Let's solve by using newton's law of cooling.

Q: For each of the labelled points on the graph, classify the corresponding point on the graph of y =…

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Q: A biologist has two brine solutions, one containing 4% salt and another containing 20% salt. How…

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Q: ty" - 2ty' + 2y = 5t², t > 0, y₁(t) NOTE: Use c₁ and ce as arbitrary constants. =

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Q: Use the comparison theorem with f(x) = = 1 √x to show that [₂²= 1 √x-1 is divergent.

A: See this solution in below

Q: A = 21° 45', a = 9.5, b = 22 se 1: = ° (smaller B-value) Case 2: B = C = C = O X (larger B-value)

A: topic:- trigonometry ratio in triangle

Q: Using Trapezoidal Rule, with n = 10, approximate the ntegral below. Give the error of approximation…

A: To solve the following problem using trapezoidal rule

Q: - Evaluate: [(5x¹ - 2x³ + 3x − 4)dx

A: We can solve the integration as below.

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: f(x)= (25x^2 +81)/x a. find the critical values of the function. b. use the First Derivative Test…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 1) Find the extrema and possible points of inflection (if any exist) of - In X X

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Q: Find the exact length of the curve described by the parametric equations. x = 7 + 6t², y = 9+ 4t³,…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: Two ships leave a port at 9 a.m. One travels at a bearing of N 53° W at 12 miles per hour, and the…

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Q: Using Midpoint Rule, with n = 10, approximate the integral below. Give the error of approximation π…

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Q: - y Sinx + Cosh zy=0 -Coshzy di Sinx = - dx ·coshzy dx dy Sinx+ coshzy dx =0 ليه Sinx = -co + dx…

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Q: Identify any Intercepts. y-Intercept (x, y) = x-Intercepts (x, y) = (x, y) = Test for symmetry.…

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Q: Find the unknown angles in triangle ABC for the following triangle if it exists. C=52° 30', b=25.4…

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Q: Find the critical points and the intervals on which the function f(x) = (x³ - 2x) e* + 8 is…

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Q: In some manufacture company, which sales certain product, the price function p and the cost function…

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