Evaluate the limit lim (x=2^+) = 1/x-2

Q: The following equation is given. Complete parts (a)-(c). x³-5x²-9x+45=0 a. List all rational roots…

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Q: anxenes Consider the following. v = (0, -4,-3) (a) Find the projection of u onto v. 42 25 18 12 25…

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Q: uppose that it snows in Greenland an average of once every What is the probability that it is…

A: Topic:- probability

Q: Evaluate the limits. Enter DNE if the limit does not exist. a) lim g(x) = x-9 b) lim g(x) = X-9+ c)…

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Q: Find the distance between the point P(1, 1, 1) and the surface x² + 2y² + 3x² = 1.

A: Given Point P1, 1, 1 and surface x2+2y2+3z2=1

Q: s²+1 Find the inverse of Laplace transform of log (² (s−1)²,

A: =L^-1[log(s^2+1/((s-1)^2) =2(e^t-cos(t))/t

Q: Q6. Angle a is acute and COS a = (a) (i) (b) 3|5 Find the value of tan a as a fraction. Hence show…

A: Given problem:-  Angle α is cute and cosα=35Angle β is obtuse and sinβ=12 (i) find the value of…

Q: Consider the function f(x) = 12x5 + 15x¹ - 240x³ +2. f(x) has inflection points at (reading from…

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Q: If cos(x) = (in Quadrant 4), find 19 21 Give exact answers. sin(2x) = cos(2x) = tan(2x) = = Submit…

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Q: g(x) = cos ¹x+ 1-x

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Q: Question 5 Find the partial derivative for the function z = cos 08--17y¹8sin(x¹7+y¹7) - 17y¹6…

A: Given that     z = cosx17+y17      we have to evaluate partial derivative ∂z∂y .    since we…

Q: If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

A: Solve the following

Q: Using De Moivre's formula demonstrate that sin(3x) = 3sinx − 4sin3x

A: Given that sin3x=3sinx-4sin^3x De moivres formula is (cos x+ i * sin x) ^ n = cos n*x+ i * sin n*x -…

Q: Use the Laplace transform to solve the following initial value problem: y" - 6y +9y=0 y(0) = 5, y(0)…

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Q: Find (ot (Sin-¹) (-1))

A: cotarcsin-36Use the following property: arcsin-x=-arcsinx=cot-arcsin36Use the following property:…

Q: Determine the values of where the function f(z) is not continuous. Label each discontinuity as…

A: Solution of given question is written in below steps.

Q: یک 2. G(x) = L tanz et et +3 -dt

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Q: lim (cos(9x)) (+) +0+x

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

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Q: Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 135∘ (x,y)…

A: We have to find out the coordinates

Q: 6 13 Find the critical points of the function f(1) = 26x7 +17. Enter your answers in increasing…

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Q: 18 0-17 ¹8 cos(x¹8+18) Question 6 Find the total differential for the function w = Odw - 262³ y sin…

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Q: The linear density of a rod at a point x centimeters from the left end is, where the left 2 grams…

A: Given the density at a point 'x' cm from the left end ( origin) is d(x) = 2/(1+x) The length of the…

Q: 1. -(3 cos² 0 +8 cose-12) sin 8 de cos³ 0+7cos2 0+ 12 cos 8

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Suppose that the position of a particle is given by s(t) = 7t³ + 4t + 9. (a) Find the velocity at…

A: Solve the following

Q: Use the Divergence Theorem to evaluate [/F. and find the outward flux of F through the surface of…

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Q: Solve the equation x³ - 13x² +47x-35=0 given that 1 is a zero of f(x) = x³ - 13x² +47x-35. The…

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Q: 4. Geometric and non-geometric series. Determine the sum of the following series a) 2+ 2 + ² / + 2…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. S² (t =…

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Q: For the following telescoping series, find a formula for the nth term of the sequence of partial…

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Q: Find the absolute extrema for the given function on the interval [1.2, 3.7]. Write your answer in…

A: The given function is fx=5x4ln x on the interval [1.2, 3.7] we have to find its absolute extrema.

Q: Problem 16. (a) Calculate the following antiderivatives: //=/ dx = (b) / -55 (c) / 2e" dx = [ -5 sin…

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Q: Imagine yourself drawing series of equilateral triangles in a given equilateral triangles by…

A: Given: . The perimeter of the given triangle is 24 feet.  Suppose the ink of your pen can print a…

Q: If the rate of change in the number of cows, W, in a population is proportional to 150 -W(t), where…

A: We need to solve Differential equation question.

Q: The velocity of an airplane flying into a headwind is given by v(t) = 30 (25-t²) mi/hr for Osts3 hr.…

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Q: ) .  Consider a minimal threshold value for a species to survive, T. One way to add in this factor…

A: answer is in next step.

Q: dy Find for dx 1 y=-=-72-8√x x

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Q: a) Determine an equation of the inverse of the function y = 2x² + 5. Sketch the function and it's…

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Q: If  f(x) = 3x + 4 and g(x) = 5 x,  find f(g(x)) and g(f(x)). f(g(x)) =        g(f(x)) =

A: We have given  f(x)= 3x+4 and g(x)=5x  We have to find  1) f(g(x))  2) g(f(x))

Q: The population of a certain state from 2000 to 2010 was recorded. During that decade, the state grew…

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Q: Find an explicit formula for the sequence defined recursively such that a₁ -4 and an = an-1 + 6.

A: We have to find the explicit formula

Q: Consider the following statements; throughout assume c≥a. (i) If f is integrable on [a, c] for all c…

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Q: Question 5 Determine the volume of the solid formed by revolving the area bounded by y=x²-2x and y=0…

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Q: 6. If y is a differentiable function of r and 24 + 2y5³ 5y2, then find - dy da

A: The given equation is x4+2y5x3=5y2

Q: Find the area between the graph of x = -2y + 5 and the y-axis on the interval [-1, 2). -2 2 4 P Find…

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Q: Use the Ratio Test to determine if the series converges. 10k k=1 Select the correct choice below and…

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Q: In 2010, the population of the United States was approximately 310 million with a 0.97% annual…

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Q: Problem 18. Sketch the region enclosed by the given curves. Decide whether to integrate with respect…

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Q: A region bounded by fly) = 2y, y = 1, y = 3, and x = 1 is shown below. Find the volume of the solid…

A: The objective of the question is evaluate the volume of the given region.

Q: Find the general solution to the differential equation. y' = eyx2      PLEASE SHOW STEP BY STEP .

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