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Q: 2. π 2 cot x d

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Q: Use the chemical reaction model with a given general solution of y = y = 90 grams when t = 0; y = 12…

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

Q: DETAILS ▪. [1.05/2 Points] PREVIOUS AN Cost of Producing Calculators A subsidiary of Elektra…

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Q: It is a fact that the function  f(x) =  (9x2 − 2) (4x2 + 4)  has a limiting value. Use a table of…

A: We need to find limiting value.

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: Find the sum. 6 Σ k k = 2

A: Here we have to find the sum.

Q: Problem 19. 78 ain Evaluate the definite integral. -5 √5x + 3 dx =

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Q: CoS z 5,⁰ √1+4t2 dt, find F'(x) 11. If F(x) =

A: The objective is to find F'(x).

Q: Determine the explicit formula for the n-th term of the sequence written below. Note that the first…

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Q: Find the curl of the vector field F. F(x, y, z) = 4x² + 7y²j + 5x²k

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

A: given y''+9y=cos(6t) taking laplace on both sides  L{ y''+9y}=L{cos(6t)} L{y''}+L{9y}=L{cos(6t)}…

Q: List the letters corresponding to the graphs below that represent a function. Write "none" if none…

A: A graph is called a function if any vertical line is drawn for any value of 'x' in its domain, then…

Q: 1- Find the inverse of Laplace transform of log (²+12)

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: answer is in next step.

Q: Evaluate the geometric series of state that 8 ÿ (-9) Σ k=0 k Select the correct choice below and, if…

A: To find out that the given geometric series converges or diverges.

Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (5,…

A: To Find  : Distance between the point (5,5,5) & plane x-y+2z=8

Q: For the following equations, enter y if the equation defines y as a function of a but not vice…

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Q: 2 -5 -4 -3 -2 -1 1 2 3 4 est M The function graphed above is decreasing on the interval ] < * < […

A: Function is decreasing when the graph goes downward when we move left to right in the graph.  So,…

Q: Graph to the image below and find the volume of the area bounded by y = (x^2 - 4)^2 and the x-axis,…

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Q: 2cosx cos2x+1 3. Prove that secx. Which double angle identity of cos2x did you use and why?

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Q: Let g(x) = 4x³ + 9x² - 12x + 7. What is the absolute minimum of g(x) in the interval [-3, 3]?…

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Q: Find all fourth roots of 1 in the complex numbers.

A: Let x be the fourth root of unity x=14 x4=1 x4-1=0 Equation 1

Q: A region bounded by fly) = y + 1, y = 4, and x = 1 is shown below. Find the volume of the solid…

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Q: If the rate of change in the microwave rays M(x), where x is the distance, decreases with a rate…

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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: Suppose dP dt and P(1) = 4. Answer the following. 3) Separate the differential equation, then…

A: The objective of the question is evaluate the indefinite integral.

Q: 10. Consider the piecewise function (with the piecewise having TWO pieces). Find the piecewise…

A: We need to find piecewise function.

Q: Consider the following graph: 28 14 1 3/14 6,28 x a) Write an equation for the graph with a single…

A: Given

Q: Situation: An online retail company tracked total number of purchases monthly. In February 2007 they…

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Q: Problem 7. Answer: Find #L if y = 7x45

A: To find dy/dx at point x=1

Q: che Root Test to determine whether the following series converges absolutely or diverges. 3k5 +k…

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Q: Find the definite integrals of the following. 1. 2. 5 2x -dx x²-5 fe²dx 1n 5

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Q: (D²+4D+5)y=35e : y(0)--3, y'(0)-1

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Q: if the limit at infinity exists find the limit lim(inf)=3x^3+5x/4x^4+10x^3+2

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Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

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Q: Question 1 Given: 2y" + 5y¹ - 3y = 0; y(0)-4, y'(0)=9. Evaluate f(1).

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Q: II) Given: • tana = 2/6, a ∈ [0, 7] 3 5' Find the numerical value of the following: • cos ß = 1) csc…

A: Let's find numerical value.

Q: Verify the Divergence Theorem by evaluating F.NO N ds as a surface integral and as a triple…

A: To verify the divergence theorem. And to evaluate the surface integral.

Q: Find the solution of the initial-value problem of xy ³ √1+x²¹ y' = - y(0) = = -1

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Q: 17. Find the linear function f(x) that is parallel to 4x + 3y = 6, such that f(0) = 7.

A: Given function, 4x+3y=6, That is 3y=-4x+6 y=-43x+2 compare to y=mx+c Therefore m=-43

Q: 3. 4. T 2 S² 0 π COS X /1 + sin x dx s sinx + 2 cos x dx

A: The objective is to find the integral.

Q: -5 -4 -3 -2 15 -30- -45 -60- -75 -90 -105- -120- -135- J 2 For the above quartic polynomial f(x):…

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Q: II) Given: • tan a = 2√6, a € [0, π] •cos 3 = 3 5' Find the numerical value of the following: and…

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Q: Find the area of the region bounded to the right by x = y + 2 and to the left by x = y². 543-2 1…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: Find the radius and interval of convergence of the power series (−1)″ (x+2)" √n.3n n=1

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Q: 。 5 D Yp = = [1 + ( ² + D²)] ¹ (X² + 7 X + 9) 4 4 5 D = - - [1 - ( 2² +2²) + ( + 2)² + +-- 4 4 (x² +…

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Q: Use Stokes's Theorem to evaluate F. dr. Use a computer algebra system to verify your results. In…

A: Here,  g(x,y)=49-x2G(x,y,z)=z-g(x,y)

Q: Determine the volume of the solid formed by revolving the area bounded by 4y=x³, y=0 and x=2 about…

A: We need to find volume.

Q: Find the derivative of the following functions. =S²² 5 1. F(x) = 2. G(x) = √t³ + 8dt 1 Letzte dt et…

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Q: 4. ["s 0 sinx + 2 cos x dx

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