Graph f (x) =log, (x) and g (x) =log, (x- 3) - 4. Plot three points and also the asymptote.

Q: Evaluate the following integral (b) / cosh" x sinh x dx (4 + sinh? x)²

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Q: 8. 6. If f(r) = 5 cot +4, then find the value of f'(-9) is -5 82 V82 82 V 82

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Q: Write each equation in logarithmic form. 4. 3 - 27 5. 5- 125 6. () 256

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Q: 8. f(x) = 2x + Vx

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Q: The parabola in the figure below has vertex (0, 0) and focus F (4, 0). Its directrix is the vertical...

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Q: Find all values of x, xe[0,2n] where f(x) = secx has a horizontal tangent line

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Q: 1. lim(2x + 4) x-3 2. lim f(x) if f(x) = {- ifx 1 %3! x² - 4x + 3 X-1

A: Here we will solve the given limits,

Q: Evaluate the iterated integral by converting to polar coordinates. 81 sin(x? + y?) dy dx

A: First I have changed the integral into polar form and then evaluate it.Final solution is in the box.

Q: Given the table of values below, find h'(1) if h(x) = g(x² f(x)). %3D f(x) f'(x) g(x) gʻ(x) 1 -3 -3 ...

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

A: This question is based on indefinite integral using partial fraction.

Q: 2. Suppose that a model rocket blasts off, straight up, at time t = 0, with a vertical displacement ...

A: Note: As students mentioned for only 1st part so I solved 1st part.

Q: Determine whether the Series is. convergent divergent.Write or the exact test that you Use.

A: The series divergence test:The simplest divergence test,called the DivergenceTest,is used to determi...

Q: Question 14 Find the area of the region between the parabola y = 9 - x²and the x-axis. Round your an...

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Q: Find the equation of the normal line to the graph of ey tan(xy) − ln(x2 − 4y) = sin2(πx) at the po...

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Q: 4. Point A (-4, 2, 5) and the two vectors, RAM = (20,18, – 10) and RAN = (-10,8, 15), define a trian...

A: We have to find unit vector perpendicular to triangle and according to given question. 

Q: Evaluate the following integral 5 – 2x (c) dx 2/3x – x²

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Q: Find the derivative of f(x) = log, (-6x- 6x+ 5) at the point x = 2. %3D Provide your answer below: f...

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Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...

A: Here, to evaluate the given integral use the trigonometric substitution. ∫x2(x2-36)32dx

Q: 4か さ n=0

A: To determine whether the given sequence converges or diverges.1+4n4nn=0∞

Q: 1. メ-\ メ+!

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Q: I2x-1 1. \sx+61

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Q: Find the moment with respect to x = 2a the area bounded by x = 2y and x2 = 4ay. %3D %3D

A: Given area is bounded by x=2y and x2=4ay.  To find: Moment with respect to x=2a.   From x=2y We get ...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Express the repeating decimal as a fraction. 0.4511 414141..

A: Solution is written in below steps.

Q: | +2V dv -5v-3V 2.

A: Solution is given below:

Q: Find the length of the curve x = from y = 1 to y = 3. The length of the curve is (Type an integer or...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Solution is written in below steps.

Q: e2x dx 10. V1+e2x

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Q: 2 1 - Find the eigenvectors of the matrix

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: What is the general solution to the differential equation ydx - ( x - sqrt(x² + y² )dy = 0?

A: Let's find. 

Q: 2. Below is part of the graph of 5r³y-3ry? + y³ = 6. If cord pugin points can tangent line Lex)= f'c...

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

Q: Graph f (x) = (1/2)* and g (x) =(1/2) ~*+3. Plot three points and also the asymptote.

A: The answer is in step 2.

Q: 2.- a) find eigenvalue/eigenvalues and the corresponding eigenvector/eigenvectors of A. A = -1 b) co...

A: Since there are multiple questions the first question is answered as per our guidelines.Kindly repos...

Q: Use the quotient rule to find the derivative, h' (x), of the following function. 3x h(x) 8- 5x Provi...

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Q: Find the area of the indicated region. We suggest you graph the curves to check whether one is above...

A: The graph is shown below:

Q: Find Z, * Z, and Z,/ Z2 Write the answers in rectangular form (a + ib). Z, = v2(cos" +i sin), Z2 = v...

A: Need to find Z1·Z2 and Z1Z2 Given information: Z1=2cosπ4+isinπ4, Z2=3cosπ12+isinπ12

Q: Finding a Differential In Exercises 15-28 find the differential dy of the given function. 16. y = 3x...

A: Given,            y = 3 x2/3

Q: Find the radius of convergence of in=0 negative infinity -1 infinity

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Q: dy Find using implicit differentiation, for the equation x+ y° = 10 is. dx %3D x2 y? x?

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Q: The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.20x + ...

A: As per request Solve d, e and f part only

Q: Evaluate 区

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: A drug response curve describes the level of medication in the bloodstream after a drug is administe...

A: Given: The function to model the response curve is St=AtPe-kt where t is measured in minutes. It is ...

Q: Which of the following is the general solution to the differential equation dx - (x – Jx² + y²)dy = ...

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Q: List the values of x at which f has a local minimum. Select the correct choice below and fill in any...

A: Lowest points of all ,after that function start increasing is called local minima.

Q: n (x+1)] Evaluate the limit of the function f(x) = e of Values method. as x approaches 0 using Table

A: Solution is written in below steps.

Q: e table gives the required standard weight, w, in kilograms, of American soldiers, age timeters.1 da...

A: Formula From the table  Because w increased by 2.7 kg as h increased by 4 cm  

Q: er the integral is improper. sin(x) 61 + x2 xp O proper O improper Explain your reasoning. (Select a...

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Q: Use the quotient rule to find the derivative, h' (x), of the following function. 3x h(x) = 8 - 5x

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Q: y=x and y = x3.

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