Differentiate f and find the domain of f. (Enter the domain in interval notation.) f(x) = ln(x² − 8x) derivative f'(x) domain

Q: 4. If |g| = 11, |h| = 23 and lg + h| = 18, then determine Ig hl.

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Q: f(x) = 2x³x² - 10x + 5 (2x - 1)

A: Let  us divide the  polynomial by given factor

Q: A parallelogram has sides 12 cm, and 13 cm. The acute angle between the sides measures 35º. Find the…

A: given sides are 12 cm and 13 cm given angle is 35°area of parallelogram is A=absin(θ)

Q: compute and attach a photo of neat computations of: The area of the triangle on the plane x+y+z=1…

A: To compute the area of the triangle on the plane x+y+z=1 which is the orthogonal projection of the…

Q: Use sigma notation to write the Taylor series about Taylor series about X = 1 3 : f(x) = Σ k=0 X = 1…

A: The function is given as , fx=cos-5x and x0=-π10 Write the Taylor series about x=x0.

Q: Evaluate the line integral, where C is the given space curve. Jox xez ds, C is the line segment from…

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Q: - Suppose that f(x, y) = x² + y² − 2xy then the minimum is Question Help: D Video

A: Given function f( x, y ) = x4 + y4 - 2xy

Q: Suppose f(x) is continuous on [1,2], f(1)=5, and f(2)=9. By the Intermediate Value Theorem, we can…

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Q: True or false: For any real number a > 1, d[a® ] = log₁(x) aª

A: let y=axlogxn=nlogxd dx(logx)=1x

Q: Solve for x, y, z and w. (Enter your answers as a comma-separated list x+y y+ 35 +²]-[³5] Z + W 4 1…

A: We need to calculate the values of x,y,z,w by comparing both the Matrix.

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Q: the given integral by making an appropriate change of variables. y dA, where R is the parallelogram…

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Q: For the function f(x)= = 7 x 2. x²+3x+2 x²-1 " which of the following statements is TRUE: The…

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Q: Find the point on the graph of f(x) = x² in which the tangent line is y = 4x - 4

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Q: Find the average rate of change of f(x) = x³ - 2x+8 over the following intervals (a) From 7 to -5…

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Q: Tangent line at P extension of the polar axis In the following figure, if=/3, tan equal pole O P/…

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Q: the demand, q, is  q=√1600−4·p^2,   Find the Elasticity, E, in terms of p. If the price is p=10,…

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Q: In tracking the propagation of a disease, a population can be divided into 3 groups: the portion…

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Q: A is given function is y = What as 3 x + x² +124-3 values of For the function always increasing? 3

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Q: The linearization at a = 0 to √4 + 2x is A + Bx. Compute A and B. A = B = -> ID ▶

A: Solution:

Q: Sketch the region whose area is given by the integral. Evaluate the integral. -6 sin(0) F7₂6² r dr…

A: NOTE: Refresh your page if you can't see any equations. . so here we have

Q: 5. The vectors i = [1,0,0], j = [0,1,0] and k = [0,0,1], are all perpendicular to each other.…

A: Let's say the vector a→ = [1, 1, 1] which is not parallel to any of the vectors i→, j→, and k→. And…

Q: Problem #6: Which of the following is a solution to the equation z³=(√√3+ i)? (A) 2¹/3 [cos(7ñ/9) +…

A: Given query is to find the solution of the expression.

Q: Q3. Find the equation of the tangent line to f(x) = x³ at x = 5.

A: f(x)=x3f(5)=53f(5)=125Point of tangency is: (5, 125)f'(x)=3x2Slope of tangent line:m=f'(5)m=3(5)2…

Q: The biomass B(t) of a fish population is the total mass of the members of the population at time t.…

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Q: Let f(x) = 6x¹ + 2x³. Select all intervals where f(x) is INCREASING, 0 (-∞, ¹²¹) ☐ (0, ∞0) 0(¹,0)…

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Q: Find equations of both the tangent lines to the ellipse x² +9y² = 81 that pass through the point…

A: Given information: The equation of the ellipse is x2+9y2=81.

Q: (b) State the rule(s) of differentiation that is most appropriate, explain why and differentiate…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find a formula for f'(x) and determine the slope f '(4) for the following function. Answer f'(4) =…

A: Given query is to find indicated derivative.

Q: Mike has created a function explaining the productivity of his company. He knows his employees…

A: GivenNumber of bicycle parts ready to be shipped=500Number of bicycle parts produced by the…

Q: A bacteria culture initially contains 2000 bacteria and doubles every half hour. Give exact values…

A: Given query is to find the size of bacteria after indicated time.

Q: Show that the lines ₁ and 2 are skew. l₁: [x, y, z] = [2, 5, 4] + [1, 2, 0] l₂: [x, y, z] = [-5, 5,…

A: To show that the lines l₁ and l₂ are skew, we need to show that they are not parallel and do not…

Q: Suppose that f(x, y) = e−3x²—¹y²+6x+10y then find the discriminant of f. Submit Question

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Q: Find the absolute maximum and minimum of f(x, y) = 5x +y within the domain x² + y² ≤ 16. Please show…

A: The given function fx, y=5x+y. We have to find the absolute maximum and absolute minimum of fx, y in…

Q: Find the derivative of the following. Show your complete solution in handwritten form. Simplify the…

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Q: The displacement y (in cm) of an object hung vertically from a spring and allowed to oscillate is…

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Q: Consider the function y = ln (x² + 1). dy dx Find the point on the graph of y = ln (x² + 1) where…

A: y=lnx2+1d dx(lnx)=1xd dx(xn)=nxn-1

Q: Calculate the Taylor polynomials T₂(x) and T3(x) centered at x = 7 for f(x) = ln(x + 1) a. T₂(x) =…

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Q: Find the derivative f(x)=√x+17, (f¹)'(x)=0 of the inverse function on the given interval. for x ≥ -…

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Q: Suppose f is a differentiable function. If f(5) = 3.1 and f'(5) = 5.4, then estimate the value of…

A: given  f(5)=3.1f'(5)=5.4using linear approximation f(x)=f(a)+f'(a)(x-a)

Q: Identify the function. √4 - x O Quadratic O Cubic O Linear O The function is not linear, quadratic,…

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Q: Determine the measure of the angle between the two vectors [1,2,3] and [-1,3,-2]. 86⁰ 94⁰ 90⁰ 600

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Q: Find the area of the surface. the part of the surface z = xy that lies within the cylinder x² + y² =…

A: Let z=f(x,y) is differential over the region R. Then surface area is A=∫∫R1+fx2(x,y)+fy2(x,y)dydx

Q: limn→ 14+24+34+...+n n n5

A: Given problem:- limn→∞14+24+34+......+n4n5

Q: Зл The current i in a certain electric circuit is i = 14 sin st. Write the first three terms of the…

A: i=14sinπtabout t=3π2formula of taylor series is i(t)=i(3π2)+i'(3π2)(t-3π2)+i''(3π2)2!(t-3π2)2

Q: Factor the polynomial completely. 25x²-9

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Q: 2. Find an explicit formula a, .... For each sequence determine whether the sequence converges or…

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Q: Find the nth term an of the given infinite series for which n = 1, 2, 3,... 1 12 1 9 + 1 10 + 1 11 +

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Q: Evaluate the indefinite integral as an infinite series Find the first five non-zero terms of series…

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Q: An ecologist is conducting a research project on breeding pheasants in captivity. She first must…

A: For maximum area differentiation of area should be zero and double differentiation of area should be…