Some graphing calculator only accepts common logarithms, then the equivalent equation a student would need to enter into these calculators to graph the following equation y = log3 x would be log.a y = 3 y = log x - log 3 y = log x log 3 3 log r

Q: solve using laplace transform 69= y" + y = f(t) where: (0)=0 y 1 1 0, 0≤t≤介 f(t) ] 1. π 2π y'(0)=1

A: Let's solve diffrential equation by using laplace transform.

Q: 16. Using the limit as h goes to 0, find the slope of each of the following: a) ƒ(x) = −6x² + 7x − 3…

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Q: b) what is the foci

A: Let's solve.

Q: Question 9: Use left-endpoint approximation to approximate the area under the curve…

A: Solve the following

Q: Solve the differential equation. dy 3x²y² dx

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Q: z² +et= 1-400 2z-e² 2* - 3* 17. lim- x-0 18. lim cotxln(x+1) x-0 16. lim-

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

A: The given function:fx=e5xWe need to find the Taylor series centered at 0.

Q: Solve the following word problems. For each question, draw a diagram to help you. 31) An airplane is…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: For which of the following is the Ratio Test inconclusive? 1 Α.Σ B. C. IM8 IM8 IM8 IM8 -ม 2" 1 n2" 1…

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Q: 05/A)) Find mif 772 375 5 √3/201 25 x2dx = 0.5

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: Find the area and arc length 1) 11 ft 3) 315 16 ft

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Q: 22. Determine the vector and parametric equations for the line passing through the points P(-1,-3)…

A: “Since you have posted multiple questions, we will solve the first question for you. To get the…

Q: The number of domestic feral rabbits in Nose Hill park can be modelled by the logarithmic function…

A: We can solve this as follows:

Q: Find the area of the region between the curves x=((y-2)^2)/3 and y=8-x shown in the following…

A: Explained below

Q: Write an augmented matrix and use elementary row operations in order to solve the following system…

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Q: S

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Q: Let f(x) f-¹(-2) = x + 3 x + 6

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Q: Solve the given initial value problem. dx dt 7x+y; x(0) = 3 dy dt = - 6x +2y; y(0) = 0 The solution…

A: To solve the given initial value problem.dxdt=7x+y;  x0=3dydt=-6x+2y;  y0=0

Q: Fx 4x2cos x find the derivative of fx

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Q: B) Let F(x,y)=√√y-x, then answer the following (For four only): (1) Find the function's domain (2)…

A: According to Bartleby guidelines I can only answer the first three sub questions.

Q: Which of the following is not a hypothesis of the Integral Test? Assume f(x) is such that a = f(n).…

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Q: (-1,4) onto the Question 2. Calculate the projection of the vector u = vector v = (-4,2). Also draw…

A: Projection of a vector on other vector

Q: Given the matrices A [4] " the matrix X in the equation AX +5B = C. X = 5 and C 3 " solve for

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Q: Σ(4) ΕΞ.

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Q: Solve the differential equation. dy 5x√y dx

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Q: let f(x) equals three sin X plus cosine 4X; (pi,1) find the derivative find the slope of the tangent…

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Q: 4. Using the vectors: ü=[2,-1,3], v=[4,5,-2], w=[1,-1,7], calculate: a) b) ux v c) ū+ v +2w

A: Here we have to perform the vector operation

Q: For a plane with a normal of n = [1, 2, - 9]   and containing a point P (3, -4, 0), write the…

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Q: Determine if the series converges or diverges. If it converges, give its sum. 32n 53n+2 n=0 A.…

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Q: (k) y dx + x dy = 0 separable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x Bernoulli in…

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Q: Use GEOMETRY to compute the value of the definite integrals. Report EXACT answers - not decimal…

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Q: 7. A spring is stretched 200 mm by a 15-kg block. If the block is displaced 100 mm downward from its…

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Q: Suppose that f is a function given as f(x) = 2x² + 7x - 2. Simplify the expression f(x + h). f(x +…

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Q: Determine if the sequence converges or diverges. If it converges, state the limit. cos²n an = -,n≥1…

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Q: Match the given differential equation with one or more of the solutions. (Select all that apply.)…

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Q: f(x) = x²+6x+5 x-1

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Q: Suppose the cost of an object appreciates at a rate inversely proportional to the sum of its squared…

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Q: Use the subsitution t = tan(x/2) to transform the integrand into a rational function of t and then…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: Consider the region bounded to the right by the graph of x=sin(5y)+10y, to the left by the y-axis,…

A: Solution: The region bounded by left x=0

Q: Evaluate the Riemann sum for f(x) = 1.4 - ² over the interval [0, 2] using four subintervals, taking…

A: Given :   f(x)= 1.4- x2

Q: Determine if the following operation on the two given matrices is defined, and if it is, determine…

A: We have to determine if the following operation on the two given matrices is defined, and if it is ,…

Q: 3. When a 2-kg block is suspended from a spring, the spring is stretched a distance of 40 mm.…

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Q: Use the disk method to find the volume of the solid generated when the region bounded by y = 8 sinx…

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Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

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Q: Given f(x) = 2x³ + 4, use a table to estimate the slope of the tangent line to f at the point P(-3,…

A: fx=2x3+4, tangent line to f at the point P-3,-50

Q: 2- tan²x + 1 + tanx secx = 1+sinx cos²x

A: To show that , tan2x+1+tanx.secx=1+sinxcos2x

Q: Find the derivative f(x) = 1x1= 2-x -X f'(x) = ? ×20 x <o

A: We have the function, f(x)=x=xx≥0-xx&lt;0 We need to calculate f'(x).

Q: 6. Find the derivative of y= 2x² (3x - 4). A. 6x³ - 8x² B. 18x² - 16x 7. Find the derivative: f(x) =…

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Q: Evaluate the integral. sin dx 2 1-x

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