Let f(x) = ln (x² - 4x + 5) Find the interval where f(x) is concave up and decreasing

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A: Given query is to find indicated limit.

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

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Q: Use linear approximation to estimate 1 √117 Give your answer as a single rational number.

A: Linear approximation of a function f(x) at a point x=b is giveb by f(x)=f(a)+f'(a)(x-a)

Q: -4y"" + 5y" - 5y' − 3y = 0 with y(0) = -3, y'(0) = 3, y"(0) = 2. Taking the Laplace transform and…

A: Using the laplace transform we can find F(s).

Q: dy Use implicit differentiation to determine given the equation ² + y = -3. dz dy da Question Help:…

A: equation given is  x2 + y5 = -3 find the  dy/dx =? further calculations given below

Q: 2. Determine the form of a particular solution to each of the following differential equations: (a)…

A: Formulas used: For f(x)=eax , f(x)=sinax ,f(x)=cosax f(x)=eax P.I=1f(D)f(x)=1f(D)eax......eax1f(a) ;…

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Q: y" + 2y' + y = e* lnx (where x > 0)

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Q: Use the Laplace transform to solve the given initial-value problem. y' + y = f(t), y(0) = 0, where…

A: As we know that  L(au(t-c))=ase-cs, L(y')=sY(s)-y(0), L-1(1s)=1 and L-1(1s-a)=e-at,…

Q: For y = 2³ - 3x², find the values of dy and Ay when x goes from 1 to 1.2.

A: NOTE: Refresh your page if you can't see any equations. . the given value of x is  and x goes…

Q: The answer above is NOT correct. Entered [12*(s^2)-27*s+7]/[-4*(s^3)+5*(s^2)-5*s-3] Note: don't…

A: Consider the following differential equation, -4y'''+5y''-5y'-3y=0 with y0=-3, y'0=3, y''0=2.By…

Q: (b) Use the gradient to find the directional derivative Du f(x, y, z) of f(x, y, z) = sin(3x) cos(8y…

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Q: Rewrite terms of logg (3). logg (9) O 1. logg (3) logg (3) 2. - logg (3) log8 (2) 3. logg (3) logg…

A: Topic = Algebra

Q: If f(x) = sin² a, find f'(x) Find f'(4) Question Help: Video Submit Question

A: Explanation of the answer is as follows

Q: Plot and label the points being described and identify the coordinates of the points. C is 7 units…

A: Give that the point C is 7 units below the x-axis and 3 units to the left of the y-axis. We have to…

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A: The given function is: fx=16x+6

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Q: n a research experiment, a population of fruit flies is increasing in accordance with the…

A: We know that exponential  growth formula, A=Pekt Where P is initial polpulation t is time k is…

Q: Subject: Calculus Topic: Limits and Increment method of differentiation. I. Limits A. Evaluate the…

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

Q: Find the arc length of the curve below on the given interval. y=2x³/2 on [0,9] Which of the…

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Q: Given f(x) = 3 csc (x), write the equation of the line tangent to y = f(x) when X = 4π 3

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Q: +-8+ A new function, f, is defined as an integral: f(x) What is the value of f(8)? Answer: 19 We…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Consider the function f(x) = 2x³ - 6x² - 18x + 54. a. Find the first derivative. f'(x) = b. List any…

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Q: -, tanp 5 Given cosa =- = 5 12 and a and ß are not in Quadrant II. Evaluate the following:

A: given  α and β is in are not in 2 quadrant given tan(β)=-512tab(β) negativen in 2 and 4 quadrant…

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

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Q: If $7,000 is invested at 9.5% compounded continuously, find the future value after 6  1 2years.…

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Q: what about line and surface integrals??

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Q: A rectangle R with sides a and b is divided into two parts R₁ and R₂ by an arc of a parabola that…

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Q: Let f(x) = x 4". Use logarithmic differentiation to determine the derivative. ƒ'(x) = = ƒ'(1) =

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Q: You need to provide a clear and detailed solution for the following Questions: Work Problem 2 […

A: NOTE: Refresh your page if you can't see any equations. . ................(1) compare this DE with…

Q: a. Write a function F(t) that describes the value after t years of a $2000 investment that increases…

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Q: 287. [T] Use a CAS to graph the solid whose volume is given by the iterated integral in spherical…

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Q: Solve the following relations for x and y, and compute the Jacobian J(u,v). u=3x +y, v=2x-y U+V 5.y=…

A: To solve the following relations for x and y, and to compute the Jacobian Ju, v.u=3x+y, v=2x-y

Q: (4) Suppose z = f(x, y) where f is differentiable (both f, and fy exist). In addition, suppose =…

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Q: Question 5 Your job is to determine a location for a Y-junction that minimizes the total distance to…

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Q: Match each function with its derivative. у a xa sin x ax ex COS X dy dx a. ln a a ● b. a • xª- c. —…

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Q: y" + 4y = sin ³x

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify ak Evaluate…

A: The given series is summation of 8/k!, k from 1 to infinity.

Q: Compute and completely simplify the difference quotient for f(x)=√x+7. f(x+h)-f(x) h X

A: Given query is to find difference and quotient.

Q: Which of the (i) F(x, y) = (10xy+6) i + (9xy+8) j (ii) F(x, y) = (9ye⁹x + cos 6y)i + (x + 6x sin 6y)…

A: We can find whether the field is conservative .

Q: Now you need to use you equation to figure out what the height of the bridge is on either side of…

A: Concept: Any point on a parabola is at an equal distance from both the focus, a fixed point, and the…

Q: Use reduction formulas to evaluate the integral. S6 cot 4 (21) dt Click here to view page 1 of the…

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Q: Solve each of the following boundary-value problems. (b) æ®g’’ = 1+ *; y(1)=y(1) = y"(1) = 0 (c)…

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Q: In 4-5, determine the intervals in which the function is increasing, decreasing, or constant. 4. -2…

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