dA dx Suppose that a dimension x and the area A = 2x² of a shape are differentiable functions of t. Write an equation that relates to dt dt dA dt = dx dt

Q: 16 Which of the following is the solution to the linear system given by the matrix below? [1 0 3 0 1…

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Q: Given the function f(x) = x³ + 3x² − 45x + 8 over the interval -10 ≤ x ≤ 5, answer the following…

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Q: -5 -4 -3 -2 -1 4 3 2 -1 -2 -3 -4 < X < 1 2 3 4 5 The function graphed above is decreasing on the…

A: Here we have to study the graph.

Q: x²-x-6 x² + 4x+4 x +5 +6 + 6-2x a) Factor and determine the non-permissible values of x. 2. Consider…

A: Solve the quadratic equations to find the roots.

Q: Use the relation lim lim X→0 tan (7x) 0-0 X O A. lim X→0 Select the correct answer below and, if…

A: Here we have to find the limit.

Q: Graph and make a table a) r = 2cos 50 b) r=2 sine c) r=1-cost

A: We need to find a graph and give the table. For (I), Graph:

Q: 1. Given the function f(x) = 4x3 + 12x² 15x + 2, a) Find the first derivative and the critical…

A: Given function:- f(x) =4x3 +12x2 -15x + 2

Q: iii. S 205x 25x4 dx

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. lim 718 00…

A: We have to determine if given series converges or diverges.

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: Solve the given intregal

Q: R is the region bounded by the functions f(x) = 1-3√x and g(x) = -3-2. Find the area A of R. Enter…

A: Given curves equations:- fx=1-3x,gx=-34x-54

Q: Use the graph at right for questions 4 and 5. It consists of a semicircle and two line segments. 4.…

A: Given graph belongs to the function f(x)

Q: Evaluate lim (1 + cos x) sec. Identify the indeterminate form of the given x+1 expression.

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Q: Finding the intercepts, asymptotes, domain, and range from the... OF BOASADRO Shom all asymptotes…

A: Given query is to find characteristics of the function.

Q: 1. a.Determine the equation of the function that has zeros (roots) at 2, 2, 5 and the yint = -10. b.…

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Q: Problem 3. indeterminate form. Follow the directions to find the limits in non-standard -x (a) lim…

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Q: 6. Give an example to show that not every function is one-to-one. Explain your reasoning.

A: The objective of the question is give an example which state that every function is not one-to-one.

Q: g(x) h(x) F(x) G(x) 4 7 9 6 4 2 387826 5 4 5 6 7 3 12 748 7 Which of these functions is one-to-one?…

A: By using one to one function concept

Q: Use the Comparison Test to determine whether the series is convergent or divergent. Σ n = 2 1 n8/9 -…

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Q: Which of the following is the equation of the tangent to the graph of y = e sin at the point x = π ?…

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Q: Graph P(x) = x²-3x²x4x+12 (list all steps, TU

A: Use properties of functions

Q: QUESTION A10 (5 The equation of a straight line given y = bx + a, where b is equal to +5. What can…

A: y=bx+a where b = 5   y = 5x + a   here b = 5  is slope of the line.

Q: Define R as the region that is bounded by the graph of the function f(x) = +1, the x-axis, x = 1,…

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Q: Given the augmented matrix 0 k-1 k+1] Select one alternative: ○ k = 1 and k‡ -1 Ok #1 ○ k = 1 and…

A: Given augmented matrix:- 10|       10k+1| k+1

Q: Find the indefinite integral. (Use C for the constant of integration.) [x² x cos 7x² dx

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Q: (b) lim ex xxx

A: Let's evaluate the given limit.

Q: 4. A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Choose the correct option for the following two statements and provide justification for your…

A: Please see the below picture for detailed solution.

Q: Write a polynomial with degree 3 that has zeros at x = only integers. P(x) = 5 and x = 2 + √5. Write…

A: We have to find the polynomial

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

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Q: Σ(1) A k! μέρος

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Q: d Talon all asymptotes and intercepts are shown and that the graph has no "holes". The gr Assume Use…

A: Given query is to find the characteristics of the graph.

Q: The integral in this exercise converges. Evaluate the integral without using a table. 1/8 S 0 1/8 S…

A: On solving this we will get

Q: I find the limit. Use l'Hospital's Rule where appropiste. If l' Hospital's Role does not, find the…

A: limu→0u+u45-u2

Q: Solve the cystem of non lincar inequalities {y <(x-1)² Graph y ≤ lay 2 (x) y = x² Table:…

A: Let's solve system non linear inequalities.

Q: В С -10-2 -6 -2 1 5 13 2 69 3x + 2y = 4 >+ X

A: We have to find out

Q: Given y = x² - 2x + 1 and y = x - 1, Problem 5 (a) Sketch the region enclosed by the given curves.…

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Q: Newton's Law of Cooling The temperature of a cup of coffee t min after it is poured is given by the…

A: We have given a equation of temperature which is measured in degree Fahrenheit. We want to calculate…

Q: For a given cylindrical tank, the radius is 7 m and the height is 13 m. The tank is filled to a…

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Q: Given the graph of f, find any values of x at which f' is not defined. Ox=1 Ox=2 Ox=-1 Ox=0 412

A: Given that a graph of function f and we find any value of x at which f is not defined.…

Q: 5. The half-life of a particular drug is 6 hours. When given an adult dosage, the following function…

A: Domain:- All those values for which the function exists. Range:- All those values the function…

Q: Recall that the logistic model can be written in the form a) Give the formulas for finding the…

A: We have to find carrying capacity and growth rate, by comparing the logistics model formula to the…

Q: 5) Determine whether the Mean Value Theorem applies to the function on the given closed interval. If…

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

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

Q: Evaluate lim x 1 expression. x² In²x - 2x + 1 Identify the indeterminate form of the given

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

Q: Which of the following is the area of the parallelogram formed by vectors  (0,−3,1)  and (1,4,−2) ?…

A: Which of the following is the area of the parallelogram formed by vectors  (0,−3,1)  and (1,4,−2) ?…

Q: Escoge la mejor contestación 1. Identifique la superficie cuadrica 2² =²+² 16 a. Cono elíptico b.…

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Q: maximize the revenue, how many dresses should be made and sold each week? ( hint r(x) =p(x). Round…

A: Given query is to find the value do x which maximize the revenue.

Q: 2) Find the exact value of sin-¹ (sin 9T 8 .You must show all your work.

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Q: Q is the region bounded by the graph of u(y) = the y-axis, y = 0, and y = 1. Find the volume of the…

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