What is the derivative of f (x) = -x at the point x = 4? Type an exact answer Sorry, that's incorrect. Try again?

Q: A cell culture contains 8 thousand cells, and is growing at a rate of r(t) thousand cells per hour.…

A: A cell culture contains 8 thousand cells, and is growing at a rate of thousand cells per hour.To…

Q: Compute the following limit. Select the correct answer below: O-1 Oo 01 8 lim sec(x)

A: ...(1)

Q: The balance A (in dollars) in a savings account is given by A = 8000e0.09t, where t is measured in…

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Q: Given the three functions below, which expression equals (zo go t) (x)? g(x) = |3x| Answer 6 ○ |3 (8…

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Q: Find the area of the region between the curve and the x-axis. 2 f(x)= x(x² -26), from - 5 to 5.

A: The region is bounded by curve  and x-axis from

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Q: Find the average value of h(x) over the interval [1,7] given that g (z)=-6x + 8. Edit View Insert…

A: Given,

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Q: 256x The volume of a sphere is increasing at a rate of 8 cm³/sec. Find the rate of change of its…

A: The rate at which the volume of a sphere is changing, To determine: The rate of change of the…

Q: (1) 2x2 + x- 5y2 = 4 2x2 + x + 5y2 = 4 3x²+1= 4y 12 (2) (3)

A: Note: As per our guidelines, we can solve the first three parts. Please repost the remaining sub…

Q: 1 Estimate the area under the graph of f(x) x + 2 rectangles. Round your answers to four decimal…

A: The given equation of the function  over the interval

Q: Use a familiar formula from geometry to find the area of the region described and then confirm using…

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Q: Find the average value of the function f(x)=√ x over the interval [0, 4]

A: f(x)=x over the interval [0,4]Average value of the function f(x) on [a,b] is given asfave…

Q: Use the Fundamental Theorem of Calculus to find the average value of f(x) = 0.25x between x = 0 and…

A: The Fundamental Theorem of Calculus states that if f(x) is continuous on the interval [a,b], and…

Q: For Evaluate the following expression. Select the correct answer below: f(x) 4-x-x² ifxsl 2x-1 ifx>1…

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Q: Determine a definite integral that represents the area of the region enclosed by r = 7 sin 0. •b…

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Q: 5 Find an antiderivative of the function g(z) = = 23 An antiderivative is

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Q: Evaluate [xy dx + (x + y)dy along the curve y = x² from ( − 1,1) to (2,4). C S xy dx + (x + y)dy = C…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the linearization L(x) of f(x) at x = a. f(x)=x+, a= 2 3 O A. L(x)=x+1 3 2 23 OB. L(x)= x+3 5…

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Q: A boat is pulled toward a dock by means of a rope wound on a drum that is located 3 ft above the bow…

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Q: find the intervals where the graph of fis concave upward, the intervals where the graph of fis…

A: Firstly find inflection point (f"(x)=0).Concave upward: f"(x)>0.Concave downward: f"(x)<0.

Q: At time t, in hours, a lake is covered with ice of thickness y cm, where y = 0.3t¹.7. 1. How fast is…

A: y=0.3 t1.7

Q: Suppose we are trying to show that lim f(x) = L where the graph of f (x) is given below. A distance…

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Q: 1) Find 1 x² +4x+13 dx.

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Q: Find the indefinite integral. J (100e5x) dx = +C

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Q: Express the vector P₁ P₂ in the form v=v₁l+V₂j+V3k if P, is the point (0,5,0) and P₂ is the point…

A: given  and

Q: Start with the graph of the appropriate basic exponential function f and use transformations to…

A: The given function is

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). 1-6-5-4-3-2-1 1.7

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Q: Determine whether the series converges or used. Explain diverges. State the test you you reasons why…

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Q: a) For the context below, define a set of 3 variables, write an appropriate system of equations, and…

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Q: Find local extrema f(x) = 4 of the function, if any. x6 - 6x² A. There is no local extremum. B. f(0)…

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Q: Use complex number operations to determine the solution to the expression below. The final solution…

A: To simplify the following expression.

Q: What is the second derivative x³ - 5x² + x = 0? A. 3x² - 5x B. 10x-5 C. 3x + 10 D. 6x-10

A: The given equation is Let

Q: (b) log321 +2/og33 Answer: log3 189 ! No, that's only partially correct

A:

Q: Determine the integral by making the appropriate substitution. √9(x-1) 9(9x-10)' 'dx

A: To determine the following integral by making the appropriate substitution.

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: Use a Riemann sum to approximate the area under the graph of f(x)=x² on the interval -2≤x≤2 using n=…

A: The midpoint rule∫abf(x)dx≈Δx(f(x0+x12)+f(x1+x22)+⋯+f(xn−2+xn−12)+f(xn−1+xn2))Δx=b−an

Q: 3 40 32 24 16 8 4 5 Evaluate the definite integral * 3 6 (4x + 10)dx =

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Q: Write the given expression in an expanded form. Assume that variables represent positive numbers.…

A: Let

Q: 5 (x-2) n²+1 n=1 Find the radius of Convergence R₁ of the series. Find the interval of convergence,…

A: The given series is summation of(x-2)n/(n2+1), n from 1 to infinity.

Q: √3x + 16-5 x-3 18. lim- x 3

A: we need to find out the limit.

Q: 15 x² 3x 54 (Round the answer to four decimal places.) Find the area bounded by y = X- -, x = 3, x4,…

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Q: The graph of f(x) is given below. Select each true statement about the continuity of f (x) at x = 3.…

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Q: Given f'(t) = -0.4t+e-2¹, compute f(5) – f(3).

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Q: Evaluate I = (sin x + 2y) dx + (8x + y) dy for the nonclosed path ABCD in the figure. y C B A=…

A: Here  we have to find the integral along closed path.

Q: 37. se sec² (10x + 7) dx

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

Q: 6. Determine whether the following series converges or diverges. 1 Σ tan (√) n=1

A:

Q: Determine Ax and the midpoints of the subintervals formed by partitioning the given interval into n…

A: Determine Δx and the midpoints of the subintervals1≤x≤15;n=5

Q: Suppose f(x) = 3x -2. Find f (x+²) 3 (x+2) 3 (Simplify your answer.)

A:

Q: To find an antiderivative of f(x) = arctan(3x) you used integration by parts, and obtained…

A: The integration by part formula is:                             ..(1)