Which of the following is NOT true about the logarithmic function y = log a where a > 1? O It is continuous. It is increasing. O It is differentiable. Its range is the set of real numbers. O Its domain is the set of nonnegative real numbers.

Q: Rewrite the equation of the ellipse in standard form and graph it below by dragging the center,…

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Q: 7) Determine the volume of the solid of revolution formed by rotating the region under the graph of…

A: Given y = ( x5 - x ) from x = -1 to x = 0 as we know that volume of solid obtained ny revolvind the…

Q: Determine a value for s so that f(x) = sx2− 6x + 2 has a minimum at x=1   s____

A: Given query is to find the value of a.

Q: Find the length of the cardioid r = 3+3 cos 0. The length of the cardioid is (Simplify your answer.)

A: formula for  length of cardioid is  L=∫abr2+(drdθ)2dθgiven  r=3+3cosθdcosθdθ=-sinθ

Q: What is d dx 7x 3x O 102 sin z √2 - sint dt? O-3√2-Sin 3z - 7√2 – sin 77 O 3√2-sin 3x - 7V2 — sin 72…

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Q: (-3,0) <++++ -10-9-8-7-6- -4-3-2-1 9 Provide your answer below: a 9 00 7 6+ 5+ 3+ 2- 1 -1 3₂ -3- in…

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Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x²-xy √x-√Y lim (x,y) → (3,3)

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Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x² - xy lim (x,y) → (9,9) √x √4

A: The given limit function is lim(x,y)→(9,9)x2-xyx-y  We have to find the limit value .

Q: ) If we would like to solve the following differential equation by variation of parameters 3x then…

A: We check whether the statement is correct or not .

Q: Determine the average value of f(x) over the interval from x = a to x=b, where f(x) = - 1 X The…

A: formula for average value is  favga=1b-a∫abf(x)dx∫1xdx=lnx

Q: Assume f and g are inverse functions. Which of the following statements is/are true? 1. y = f(x) if…

A: Please see the below picture for detailed solution.

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Vector v is shown in the graph. पं احبه N T > 51 a 3 0 -1 N do O ||v|| = 9.220; e = 54.462° 2 Which…

A: To determine the magnitude and direction of given vector.

Q: If f(x) = tan 13m-cot¹3x, what is f'()? 0-3 01 3 0-1

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Q: Differential equation: Families of Curves * w/ complete solution and sketch. Obtain the…

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Q: (x) = x4−256x+4 Enter the x-values of any local minima, maxima, and inflection points.

A: Given f(x) = x4−256x+4

Q: Suppose g(x) has a range of [-2, 6]. Determine the range of the transformation y = 2g(x) - 5 O [-14,…

A: Given: Range of g(x) is [-2,6]

Q: -7 -6 -5 -4 4 3 2 1 -1 -2 -3 -4 1 2 3 4 5 6

A: To find the rang by the given graph.

Q: 9) Solve: (x + y)dy-(z-y)dx=0 a) x² + y² = C b) z² + 2xy + y² = C c) z²-2ry+y²=C d) z²-2ry-y²=C

A: We need to solve D.E.

Q: Find lim Le sin x] if the limit exists, where [-] denotes the greatest integer function. See page…

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Q: Refer to the graph of y = f (x) with secant line PQ and tangent line PS. QR RS OQS O PQ f(x+Ax) O PR…

A: Please see the below answer.

Q: 1) Determine the solution of the differential equation dy x +y = r² + r da

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Q: Find the length of the loop of the given curve. x = 6t - 2t³ y = 6t²

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Q: 8. The following table shows the number of Facebook members f(t) in millions over time t, where t =…

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Q: 3) Solve the differential equaion (D2-4)y=e²-4

A: 3) The given differential equation D2-4y=e2x-4. We have to find the general solution of the…

Q: If f(x) = In x where x > 0, what is In r 2 1 2√ ln x O 1 2x ln x 1 2x 1 d (f (√)). ? dx

A: Given: fx=lnx To find: dfxdx Now, first we need to find fx fx=lnx ⇒fx=lnxy2 ⇒fx=12lnx

Q: (n^ + n)(n^ − n) = (n)H = H'(u) = Differentiate.

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Q: 4 n=1 What is the expansion of the series 4+1?

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Q: 11. -log/2x+3

A: To graph the given function. To state the domain and range. To identify the parent function and to…

Q: Find the derivative of the function. y' = an−¹(x - √√₁+x²) 2 1 y = 5 tan

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Q: Explain and demonstrate how to find the eigenvalues of the matrix 0 2 2 3]. -3

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Q: Find the standard form of the ellipse given below in general form. 18x² +108x +9y² – 54y +81 = 0

A: Solution: 18x2+108x+9y2-54y+81=0  The standard form of the ellipse : (x-y)2a2+(y-k)2b2=1is the…

Q: Use the triangle to express 8 as a function of y. 10 08 = sin() 0 8 = sin n-¹(10) 0 0 = cos 1¹ (1)…

A: We can find the correct option in the below steps.

Q: Consider the following system. dx dt dy dt = 6x + 5y K = = -2x + 8y Find the eigenvalues of the…

A: As per guidelines of bartleby we solve only one problem

Q: he effectiveness of a certain medical injection is modeled by 0.03t(70−t), where t is time in…

A: Let effectiveness denoted by E E = 0.03t( 70 - t ) E = 2.1t - 0.03t2

Q: Find the points at which the following polar curve has a vertical or a horizontal tangent line. r=8…

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Q: Find the linear approximation to the equation f(x,y)=3√ at the point (4, 6, 6), and use it to…

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Q: Evaluate the integral f(2x + by making the substitution u = x² + 3x + 8. 2x + 3) (x² + 3x + 8) ¹dx +…

A: Evaluate the integral. By making the substitution u= x2 + 3x + 8

Q: sin³ x + cos²x sinx = 2

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Q: Find the area bounded by the line f(x) = 2x + 15, the curve g(x) = x² − 4x + 20, and the two…

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Q: Consider the following functions. f(x) = x², g(x)=√x-7 Find (fog)(x).

A: Given,            fx=x2 , gx=x-7

Q: Vectors are shown in the graph. n Or O q Ou 7 n 60 5 3 2 1 T -2 P XX u S ? 1 2 3 Which of the…

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Q: Question 8 Consider the indefinite integral U= du = x5 (x6 + 4)6 This can be transformed into a…

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Q: Let y(t) be the solution to Use Euler's Method with time step ntn 00 10.2 20.4 30.6 40.8 51.0 Yn 2…

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Q: A large rectangular movie screen in an IMAX theater has an area of 9,064 square feet. Find the…

A: To find the length and width.

Q: Differentiate the function. V'(t) = V(t) = t-3/5 + +t²

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Q: Consider the following parametric curve. Answer parts a and b. x = 4+2t, y=1-6t; t = 2 a. Determine…

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Q: S Use Trigonometric Substitution to find the indefinite integral O 4v Y 4- y² y² 4(4- y²) + C O…

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Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the inclined portion of the…

A: Given query is to find indicated angle.

Q: Question The Laplace transform of the function f(t)= e 2t+2t4 is L {f(t)} = Select one: O True O…

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