|2x - 7| < 3

Q: Q The graph of the SLOPES of the red function has which color? green orange black blue O

A: Which colour graph shows the slope of red function graph.

Q: 19 Let ƒ(x) = (19√x – 18) (2³ – 18) (2³ - 2 +23) - X Then the rate of change of the function at x =…

A:

Q: Find T, N, and í for the space curve r(t) = (6 cos ³t)i + (6 sin ³t) j for 0 <t< 7. T= (- cost) i +…

A: The given space curve  for

Q: Find the unique solution of the second-order initial value problem. y'' + 4y' + 3y = 0, y(0) = 0,…

A: given differential equation

Q: Let 15 ƒ(x) = (2x² + 3)¹ (2x² + 7) ¹5 Find the derivative and write the answer in factored form.…

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Q: Given In 4 = 1.3863 and In 21 = 3.0445, find the value of the following logarithm without using a…

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Q: 3. Find the bounded area between the curves. Draw the region. y=√1-4x² [y ≤√1+x² y-4x²-1

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Q: 7. Use the limit definition of derivatives to compute f'(x), where f(x) = √4x + 5.

A: We have to use this definition to find f'(x).

Q: Evaluate the following limit. Number lim (4x² - 7x+3) x→6

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Q: Sketch the graph of the following function. f(x) = -e(1/4)x -10 D y 10 -10 5 10 square units X Find…

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Q: Find the following. = ( ₁₁ — 1) , V₁ 1, = 2 U = (a) ||u|| (b) (c) ||u + v|| (d) (e) ||v|| (f) — 33 u…

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Q: Let F =i+x^2j, and let C be the boundary of the region {(x, y):x^2 + y^2 ≤ 1 and x ≥ 0}: the right…

A: To find the outward flux of the vector field  F=i+x2j across the boundary C of the region…

Q: K 2 Find the average rate of change of the function f(x)= x + 7x from x₁ = 1 to x₂ = 3. The average…

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Q: Differentiate the function f(x) (11x8-9x6+21x4+15x³-12x²+3) that f(x) = h (g(x)) For the toolbar,…

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Q: If f(x) is optimal at x = x*, show that the maximum of first even derivative of f(x) [i.e. f"(x)] at…

A: In mathematical optimization, when a function  is optimal at , the second derivative at that point…

Q: A certain electronics manufacturer is making GPUs for gaming laptops (GPU stands for graphics…

A: A certain electronics manufacturer is making GPUs for gaming laptops (GPU stands for graphics…

Q: An engineering school reports that 52% of its students were male (M), 39% of its students were…

A:

Q: So far we have the following. sec (8) cos(8) sin²(0), Jπ/3 =77₁4= U= We can now use the substitution…

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Q: 5. Use the limit definition of derivatives to compute f'(x), where f(x) that a, b, c are constants.…

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Q: Solve the initial value problem y¹5 = 0 fy= (y(1) = 6 1+x x y¹4 x > 0

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Q: The temperature T in degrees Fahrenheit on a cold night x hours past midnight can be approximated by…

A: This is question of linear algebra Here relation between time and hour is given We have to find time…

Q: (b) lim 1+√k+K²+1 24³ +3

A: To find:-(b)

Q: Consider the function y = f(x). f(x) = 8x1, x = -3 df (a) Find at x = -3. dx df dx = 3 (b) Find x =…

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Q: 16. y' = (1 − y) cos x, y(t) = 2

A:

Q: 3 Let y =(f(u) + 3x)² and u = x³ f'(4) = = -89 360 X 2x. If f(4) = 8 and dy dx = 19 when x = 2, find…

A: y=[f(u)+3x]2, u=x3-2x, f(4)=8And dy/dx=19 when x=2.

Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t)= 1)…

A: Solution is following in explanation step.

Q: graph of h in the given figure to find the following values, if they exist. (a) h(5) (b) lim h(x)…

A: We are given multiple numbers of sub parts and answer will be according to the guidelines.

Q: 37. f(x) = 1 x ; a = 1 4

A:

Q: Evaluate the following one-sided limit. lim z+1 (z − 1)(z + 4) |z − 1| =Number

A:

Q: Given that f(x)=5x2−3x−4 and g(x)=x+2 ,find f g(x)) .

A: f(x+2) = 5 - 3(x+2) - 4          = 5( + 4x + 4) - 3x - 6 -4         = 5 + 17x + 20  - 10

Q: 4. y' - 2xy = ex²

A:

Q: f(x) O S No Solution Help f(1) = 6 f'(x) = 4, -∞0< x < 00 -10-9-8 -7 -6 -5 -4 -3 -2 -1 20 18 16 14…

A: We  evaluate the function by using the integration.

Q: Find the value of constant c such that the function f is continuous on (-∞, ∞). C = Number f(x) = cx…

A: To find the value of constant  such that the function  is continuous on .

Q: 150t Consider the population function p(t) = - t+ 6 a. Find the instantaneous growth rate of the…

A: The given population function is .As per bartleby guidelines  we not allowed to solve more than…

Q: Consider the following initial value problem: (t² – 16t + 60) du = y with y(8) = 1_ dt A. Solve the…

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Q: x√1- x4 dx

A:

Q: x2 (e) J (2:² +15/2 da using a trigonometric substitution. (x²+1)3/2

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Q: Find an equation of the plane consisting of all points that are equidistant from (-1, -3, -5) and…

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Q: A particular country's exports of goods are increasing exponentially. The value of the exports, t…

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Q: Evaluate the limit. lim x-5 x² + 3x - √40 x-5

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Q: Find the values of a and b that make f continuous everywhere. x2 - 4 X-2 a= b = f(x) = ax² − bx + 3…

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Q: Let f(x) x + 1 x-1 5 Determine the equation of the tangent line to fat 9, 5) form. . Report the…

A: The function is the aim is to find the slope of the tangent line at the point

Q: - 6 - 2t 5t - 1 Determine the derivative of g. Let g(t) g'(t) = = 32 (5t − 1)² ✓ Determine the slope…

A: The function is The aim is to find the derivative of the function

Q: УА | y = f(x) 2

A: Given graph of function

Q: The edge of a cube was found to be 30 cm with a possible error of 0.2 cm. Use differentials to…

A:

Q: ested in a savings account in which interest is compounded continuously at 6.7% per year. That is,…

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Q: 5 Find the equation of the tangent line at x = for the function f(x) = x5: 4 For the toolbar, press…

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Q: Use properties of the trigonometric functions to find the exact value of the following expression.…

A: By using properties of the trigonometric functions to find the exactvalue of the following…

Q: Evaluate the integral. ਚ 25/2 2 5 ਹੋ dx a> 0

A:

Q: Let F(t) = √t + 2, 3 sin (4t), 1 t-4 Find r(t)dt (don't include the +C) [F(t)dt = { √) + C

A: Let .To find .