10 Find the derivative of: 4√ Type your answer without fractional or negative exponents. Use sqrt(x) for √. 빙

Q: - f(x) = (2-x)4/5; c= 2.

A: Consider the fucntion

Q: Let y = f(x) be a twice-differentiable function such that f(-1)=5 and dy=(xy² + 4y)². What is the…

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Q: If a = 37.7, what is O a. 2232.56 O b. 61.22 O c. 12.64 O d. 8934.23 O e. 4466.11 ["va² √a² = x²dx

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Q: The total revenue function for a product is R(x) = 47x -0.02x², where R is in dollars and is the of…

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Q: Consider the following points. A(2, 2, 2), B(4, -4, 8), C(6, -1, 0), D(4, 5, -6) Let u = AB, v = AC,…

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Q: Use the Fundamental Theorem of Calculus to find the derivative of the function F(x) = (x² T 2 sin t…

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Q: Find the Riemann sum for f(x) = x² + 3x over the interval [0, 8] (see figure), where Xo = 0, x₁ = 1,…

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Q: Find the values of the trigonometric functions of t from the given information. sin(t) sec(t) < 0…

A: Given,.

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: We have to use the concept of derivatives to find the required values

Q: Compute the indicated quantity using the following data. 12 13 where < a < π 3πt where π <B< 2 where…

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Q: Find the area under the curve y = 2x-3 from 7 to a = t and evaluate it for t=10, t= 100. Then find…

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Q: Solve each equation for x by converting to exponential form. In part (b), give two forms for the…

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Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: The dispalcement relation is given:              .............(i)

Q: Baby D. Is there guaranteed to exist a value of x = c on -2 < c < 2, such that h' (c) = 0 ? Give a…

A: Let f(x) be th function f(x) is continuous on [a,b]f(x) is differential in (a,b) f(a)=f(b)Then there…

Q: Integrating an Exponential Function Use the Exponential Rule to find the indefinite integral. See…

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Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola -21.2y = x²…

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Q: Find the value or values of c that satisfy the equation f(x)=4x²+4x-3, [-3, -2] f(b)-f(a) b-a =…

A: The given function  in the interval .The aim is to find the values of  that satisfies the Mean value…

Q: Find the value or values of c that satisfy the equation 4 f(x)= 4x+- f(b)-f(a) b-a =(Use a comma to…

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

Q: A jar contains 22 differently coloured balls. If you remove all the balls, one at a time, how many…

A: Total coloured balls= 22We have to remove all the balls one at a time.

Q: w many years are required for an investment to double in value if it is appreciating at the rate of…

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Q: Let C be the curve y = 4x³ for 0≤x≤ 1.2.

A: for

Q: Find the sum of the first 61 terms of the sequence {3, 5, 7, 9, 11,...}. OA) 3843 OB) 3904 OC) 7625…

A: To find the sum of the first 61 terms of the following sequence.

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. If the area of…

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Q: A company has total cost function C(x) (in dollars), where is x is the number of items. C(x) = 300+…

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Q: 1. Solve the differential equations: a) Write solution as function of x: (sec x) dx = ey+sin x dx b)…

A: ** As per our guidelines, we are supposed to answer only one question at a time. Since you have…

Q: Find the area of the region. y = 81 - x4 -4 -2 y 80 60 40 20 2 4 X

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Q: Let f(x) = 8x + 14 - 17e. Then the equation of the tangent line to the graph of f(x) at the point…

A: Let . To find the equation of the tangent line to the graph of  at the point .

Q: Determine whether the improper integral converges or diverges. If it converges, determine the value…

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Q: A company sells a package of face masks for $11.95. Assume the total costs (in dollars) to produce x…

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Q: Find the derivative HINT: recall that of: V = r ²

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Q: 1. Let f(1) = 1³ +31² – 241+1 (a) What are the critical points of f? (b) On what intervals is f…

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Q: Problem 2 What region R in the ry-plane maximizes the value of √√₁ (4-20² R Give reasons to your…

A: An integral of a function f(x, y) over an area in xy-plane represents a signed volume of the solid…

Q: edback e average angular displacement is given by the slope of the secant. We calculate f(0.2) and…

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Q: A jar contains 8 differently coloured balls. If you remove two balls, one at a time, how many…

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Q: If f(x) is continuous and ² f(x) dx = 318, what is ["* x f(x²)dx Round your answer to two decimal…

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Q: Use the substitution formula to evaluate the integral. T. √ cos 2 (0³/2) de T. 0 (Type an exact…

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Q: 12. Suppose that a department contains 10 men and 15 women. How many ways are there to form a…

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Q: Then th term of a sequence is given. Write the first four terms of the sequence. an = (-1)n-¹(n+³)…

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Q: If the mass of a balloon is 300 kg and the lift force provided by the atmosphere is 3300 N, what is…

A: SolutionGiven:The mass of the balloon ism=300 kgThe lift force on the balloon in the upward…

Q: Use Pascal's Triangle to expand (4x² + 1)¹. Express your answer in simplest form.

A: The given expression .The aim is to expand the expression using Pascal's triangle.

Q: Suppose a product's revenue function is given by R(q) = -7q² +600g, where R(q) is in dollars and q…

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Q: Explore the Alternating Series Remainder. (-1)-1 K 2n-1 4 (a) Use a graphing utility to find the…

A: Given:

Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. 0.5- x= 3…

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Q: d'y If y = 3e-2, then dr³ A B C D -24e-2x - 6e 48e -2x -2x -216e-6x

A: y=3e-2x

Q: The first derivative of a continuous function y= f(x) is given. Find y" and then sketch the general…

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Q: The graph of f(x) = 2x³ + 12x² - 126x + 23 has two horizontal tangents. What is the negative value…

A: Solution-Now differentiate this function with respect of x,d/dx(f(x))=f'(x)

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: If exists for every  then,provided that limit exist and finite. Then it is convergent.Given…

Q: Each of the following equations represents a conic section. Identify the type of conic section:…

A: a. x2-2x+2y2-12y+3=0b. x2-10x+12y+1=0c. x2-2x-4y-11=0According to the Bartley guidelines we solve…

Q: For the function f(x) = 5x² + 2x, evaluate and simplify. f(x+h)- f(x) h

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Q: y=e"x R In 11

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