Use the one-to-one property of logarithms to find an exact solution for   ln(2)+ln(2x2−6)=ln(69)   If there is no solution, enter NA.   The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;62;4;6 or x+1;x−1x+1;x−1).   x=

Q: 6. Use the definition, determine whether the function g(x) = x = 2. Justify the conclusion. x² -…

A: The solution is given in the next step.

Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A: The given problem is solved below in detail.

Q: Q2. Find the exponential Fourier series for f(t): (1 = Fourier series. 0<t<1 (2 1<t<2 then find the…

A:

Q: Q2: A. Determine if p=i-3k and q = 61 - 3j - 4k are parallel, orthogonal or neither.

A: According to Bartleby guidelines I can only answer the first question of the two questions given.…

Q: Using integrals, find the area bounded by the following:  f(x) = 4x2 + 20 g(x) = 8x + 32 x = - 4…

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Q: tan² y = x (By implicit differentiation)

A: The given equation is tan2y=x.

Q: The position of an object moving along a line is given by the function s(t)= - 8t +72t. Find the…

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Q: C Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that…

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Q: The region in the first quadrant bounded by the graph of y=8-x¹2, the x-axis, and the y-axis is…

A: The region in the first quadrant bounded by the graph of y=8-x32, the x‐axis, and the y‐axis is…

Q: SINE LAW * A civil engineer desires to measure the height of a tower observing a vertical angle at…

A: We need to use sine law.

Q: A tight headed northeast from P-City to Q-on was sent 10 degrees off course by high winds. The plane…

A:

Q: (x-7) dx 19. SJ5-4x-x2

A: Answer is following.

Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y +9y-10y = -40t²-72t…

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Q: 2x₁ + 2x₂ + 4x3 = 8 - 6x₁-6x2-12x3 = -24 - 3x2 + 9x3 = 15 2x₁ + 2x2 + 4x3 = 0 - 6x₁-6x2-12x3 = 0 -…

A:

Q: Derive the formula for trapezoidal Rule to evaluate f f(x) dx

A: The trapezoidal rule is to find the exact value of a definite integral using a numerical method.

Q: B. Find the general solution of the following 2nd order differential equation: y+2y+2y=0

A: Solution is done in step 2

Q: A given partial fraction B can be evaluated as: A) 7/35 B) 8/85 6/23 D) 13/85 2x (x-1)(x+4) (x²+1) A…

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Q: 6. y = x Arccsc (¹)

A: we can find the y' as below

Q: Q1:Discussion a continuity of the function f(x, y) at the point (0,0),where sin x f(x, y) = x (x, y)…

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Q: FCILICI B. Find the general solution of the following 2nd order differential equation: y +2y + 2y =…

A:

Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

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Q: A ferris wheel is 25 meters in diameter and boarded from a platform that is 1 meters above the…

A:

Q: Q1:Discussion a continuity of the function f(x, y) at the point (0,0), where ey sinx f(x, y) = X (x,…

A: We want to check the continuity of the function at (0,0)

Q: 90 y 2 1980

A:

Q: B. Graph each equation. 3. 3x²2y² - 12x + 12y = 12 4. x² + 2y² + 2x - 8y = -5

A: Graph of : 3x2 - 2y2 - 12x + 12y = 12

Q: dx 1. S₁ √x+3 St 2. f2(x+1) dx -1 √√√x²+2x+4 3. f¹₁x²x³ dx 1 dx 4. S Vitsinx 3x 5. S₁ (x²+1)³ dx (a

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Q: Differentiate f(x) = tan¯¹(3x). Use exact values. f'(x) =

A:

Q: Find the slope of the line satisfying the conditions. parallel to 7x + 5y = 57 Select one: O A. m m=…

A: We know  slope of two parallel lines are same. Now,  the given equation of line is 7x+5y =57. We…

Q: Grades - MAC231 X 2311 Section 3.3 X MindTap - Cenga x E CalcChat | Calculo X Mathway | Calcul x b…

A: Topic:-  trigonometry ratios  and derivatives

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

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Q: Q1: Find the third Maclaurin polynomial to f(x) = sinx

A:

Q: Given f(x,y) = ex cos y, Evaluate f,(0,2) (A) -sin 2 B) 0 C) e² D cos 2

A:

Q: B. Find the general solution of the following 2nd order differential equation: y*+2y+2y=0

A: The given second order homogeneous differential equation is: y''+2y'+2y=0 Therefore, the auxiliary…

Q: Find the determinant of the matrix, O2²-12-13 O22-12+13 O²+12+13 Oλ-13 2-11 4 6 2-1

A: Determinant , λ-11λ-1-24 λ2-11λ-λ+11-24 λ2-12λ-13

Q: y = (4 + ³√/x)³ 3

A: Inverse function

Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

A:

Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

A: Thr solution is given in the next steps.

Q: 9) (3x-29 +2) ex+(39-2*-2) dyzo

A:

Q: Consider the function f(x) = 4x² Identify the locations where f has transition points. (Give your…

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Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

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Q: Q2: test if (AB)¹ = B¹A¹ A = 4 1 4 -3 61-63 0 2 B = 0 2 L3 5.

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Q: If g'(6) = 6 and h'(6) = 19, find f'(6) for f(x) = f'(6)= (Simplify your answer.) () = g(x) + =…

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Q: (b) Find the points on the given curve where the tangent line is horizontal or vertical. r = 1 + cos…

A: We are given a curve in its polar form  r= 1+cosθ We have to find points on the curve at which…

Q: FIERNICE. B. Find the general solution of the following 2nd order differential equation: y* +2y + 2y…

A: Solve the homogeneous differential equation

Q: Find the absolute extrema of f(x) = x³ - 6x - 1 on the interval [-2,3].

A:

Q: Consider the function f(x) = 4xe-x². Identify the locations where f has transition points. (Give…

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Q: What integration technique can be used to integrate: A Trigonometric Substitution B Integration…

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Q: 1.) lim f(x) = X→-7+ 3.) f(3) = 5.) f(0) = 7.) lim f(x) = x→0+ 9.) lim f(x) = X→3+ 2.) lim f(x) =…

A: The objective is to determine the limit if it exist.

Q: Question E.) 36 Al 2+3^ 3^ +4^

A: Explained below

Q: Rewrite the Cartesian equation y = r(0) = = Enter theta for 0 if needed. 2x² as a polar equation.

A: In this question, we need to convert the given cartesian equation to polar equation.