Find the derivative of f(x) = x ƒ'(x) =

Q: Evaluate f/4 cos³0 (sin 0) ³/² de. −1 (a) 4√2 8 (b) 5 45 (c) (d) (e) 13 90/2 5√2 12 23 90 2

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Q: Solve the separable differential equation dx 7 dt X = 2 x and find the particular solution…

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Q: Find f'(a). f(t) = Since f(t) Step 1 To find f'(a), we will use the formula f(t) - f(a) t-a 7t + 15…

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Q: Evaluate each expression using the graphs of y=f(x) and y = g(x) shown below. a) (gof)(8) b)…

A: given graph of the f(x) and g(x) to evaluate the expression

Q: Part a) Given the graph of f(z) below, evaluate each of the following limits. -8 -7 -6 -5 -3 1-2 lim…

A: In this question we will find the limit and asymptotes by using the graph.

Q: Question 1 Use the limit definition of the derivative to find the slope of the tangent line to the…

A: By using the limit definition of the derivative to find the slope of the tangent line to the curve…

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -5 and g'(2) = 4.…

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Q: To estimate the height of a building, a stone is dropped from the top of the building into a pool of…

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Q: Identify the symmetries of the curve r² = 4 cos 0. Then sketch the curve in the xy-plane Identify…

A: Draw the curve for  on the cartesian plane.

Q: 20° A 10 yd S

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Q: 1. the base is the region bounded by y = 1-² and y = 0 4

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Q: Find the Laplace transform, F(s) of the function f(t) = (e4t - e5t) ², t> 0 F(s) = S> 4

A: Laplace transform of exp(at) is equal to (1/(s-a)), where s>a.

Q: Find the numbers at which f is discontinuous and determine whether f is continuous from the right,…

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Q: Find the growth rate after 10 hours. Afton homme help (numbers) will the 200002 ove

A: Solution-The formula of becteria after t hours is,

Q: Find the derivative of the function. g(x) = (2 + (x² + 3)4)3 g'(x) =

A: The given function is

Q: Let f(x)= x2, and compute the Riemann sum of f over the interval [4, 6], choosing the representative…

A: We need to find the Riemann sum of f(x) = x^2, over the interval [4,6].The formula for the Riemann…

Q: Find dy/dx at the given point for the equation. x = y3 – 5y2 + 2, (-2,1)

A: Given, given point is (-2,1)formula of derivatives are '

Q: 44. The gravitational force exerted by the planet Earth on a unit mass at a distance r from the…

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Q: 20 cm-4-20 cm- Q₁ -8 μC The electric field at point A is zero. What is charge Q₁? Ο 432 με O-32 µC O…

A: Formula of electric field:-

Q: Develop an equation relating the rates at which the variables V and h are changing (dv/dt and…

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Q: Describe the surface whose equation is given by x² + y² + z² + 6y - 2z = 0.

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Q: Find the derivative of the logarithmic function. f(x) = In(-⁹x2) 9x Step 1 Rewrite the given…

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Q: For f(x) = (a) fog 4 x-3 1 and g(x) = find the following composite functions and state the domain of…

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Q: A plane flies 1.3 hours at 120 mph on a bearing of 40°. It then turns and flies 1.5 hours at the…

A: The figure

Q: A projectile is fired with an initial speed of 550 m/sec at an angle of elevation of 60°. Answer…

A: We have the following dataTo determine: (c). How high overhead will the projectile be when it is 5km…

Q: re rả lnxdr x

A: Here we have to evaluate the given improper integral.

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse at the given…

A: Given

Q: Consider lim ex-x² x →∞ 2 a) lim 4x x x→∞ b) If we let t lim t -00 = 4x − x², then we can rewrite…

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Q: The growth rate, r individuals per year, of a population in year t after the start of observation is…

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Q: Determine whether the three points P = (-1,7,8), Q = (0,9, 11), R=(3, 11, 14) are collinear by…

A: Distance between two points  is given as follows

Q: An airplane flies at an altitude of 5 miles toward a point directly over an observer. Consider 0 and…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4x…

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Q: A hard-working student takes 200 mg of ibuprofen to treat a headache. One hour later, 143 mg of…

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Q: A truck that is 11 feet tall and 7 feet wide is traveling under an arch. The arch can be modeled by…

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Q: Differentiate. y' = y = e(p + pvp)

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

Q: Consider the differential equation. y' 4t Y -;_y(0) = yo ve the differential equation and determine…

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Q: 1.3 S sin x dx cos³ x

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Q: For the graph of the function g below, (a) Does g(4) exist? (b) Does lim g(x) exist? x-4 HA 2 -2

A: given graph of g(x).Find: does  exist?

Q: Has a diameter with endpoints A(-1, 4) and B(1, 2)

A: If the end points of the diameter are, then the equation of the circle is given by

Q: Find the centroid (, y) of the region bounded by: y = 2x² + 2x, y = 0, and x = 9 y=

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Q: Don and Ana are driving to their vacation destination. Upon entering the freeway they began driving…

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Q: 2. Find AB, where -1 4043-690 B = 1 -2 5 = [ A = 2 2 -1 -5 1 -2 1 2

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Q: Discuss the continuity of the function f(x)= [x², x≤1 1+x, x>1 at x = 1.

A: given function To find: continuity of the function at x=1

Q: Find a formula for the derivative of the function g(x) = 5x² – 10 using difference quotients: _g(x)…

A: To find a formula for the derivativeof the function  by using difference quotients.

Q: The point  P(9, −3)  lies on the curve  y = 3/(8 − x). (a) If Q is the point (x, 3/(8 − x)), use…

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Q: 4. Use the graph of f given below to evaluate the following limits, if they exist: 4 3 -4 -3 -2 -1 2…

A: The graph of the function is given

Q: Find an equation of the sphere with center (-1, 1, -2) and radius 4. = 0 Note that you must move…

A: We are given the center (-1, 1, -2) and radius(r)=4 of the sphere and we need to find out the…

Q: Find the area of the region under the graph of the function f on the interval [1, 4]. f(x) = = 9 √x…

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Q: 1. This question concerns the function y = f(x) = 2 - 3x² near the point where x = 1. (a) What is…

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Q: Question 11 Find the average rate of change of g (x) = -1x³ + 1 from x = -1 to x = 4 - Question…

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