9 dx x² + x√x MA

Q: A particle moves along a straight line with e velocity speed f(t) = 15 + 48 t + 1 m/s m/s

A: Oh

Q: rizontal. How far away from its starting position does the project

A: Topic:- function and calculus

Q: For what values of a and c is the piecewise function ax² + sin x, x ≤T f(x)= 2x-c, x> π…

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Q: Write an equation for the function whose graph is described. the shape of  f(x) = |x|,  but shifted…

A: Need tp write down the equation of the function which is shifted five units to left and six units to…

Q: If x¹ + x²y + 7y² = 14, find y' by implicit differentiation. 2

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Q: Consider the following. 1 - 2x² x42x² + 3 Let u(x) = 1 - 2x² and v(x) = x² − 2x² + 3. Find each…

A: We need to find derivative.

Q: 1. x²-25 lim 1-0 ²-4x-5

A: Topic = Limits

Q: If f(x) = 6x + 7 x² + 5 O-6x² 14x + 5 (x² + 5)² - O 18x²14x + 5 (x² + 5)² find f'(x). -6x² - 14x +…

A: To find the derivative of the given function.

Q: The position vector r describes the path of an object moving in the xy-plane. Position Vector Point…

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Q: O In(e) O In (2) O √e Oe² What is ef'(2) if f(x) = In(x)?

A: Given f(x)=ln(x)

Q: Find the derivative of the function using the chain rule (not the "u" version)   *please use…

A: Topic:- application of derivatives using chain rule

Q: Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for…

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Q: 1. lim 1-3 √x+1-2 x²-9

A: Topic:- calculus

Q: Find the derivative of the function. z = 3t¹3/3-29/4-1/2 +3 z' =

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Q: Fencing a Field Consider the following problem: A farmer has 2400 ft of fencing and wants to fence…

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Q: A particle moves on the curve 4x2+52 = 24. When the particle is at the point (1, 2) its y coordinate…

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Q: Find the equation of the plane containing the point (-4, 6, 1) and parallel to the plane 6x7y2z = 0.

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Q: Use the four-step process to find r'(x) and then find r'(1), r'(2), and r'(3). r(x)=8-2x² r'(x) =

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Q: Question 4x4 - 1 1 If F(x) = In(t) 4+1² dt, what is F'(x)? . Be sure to enter the argument for any…

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Q: 5. y = C₁еx + c₂xe* + c3e-x + 2x² ex; d³y d²y dy dx dx³ dx² +y-8ex=0

A: We can solve this as follows:

Q: A spherical balloon is inflated with gas at a rate of 16 cubic feet per minute. How fast is the…

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Q: the answer you gave was either wrong or written incorrectly

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Q: Find the equation of the tangent line to the curve y= -5/x+2 at x=1. (Use the limit definition of a…

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Q: The left, right, trapezoidal, and midpoint rule approximations were used to estimate same number of…

A: We need to fill the box.

Q: 4. 2x lim 1-2 x²-4

A: limx→ 22xx2-4

Q: Suppose that ƒ−¹(x) = g(x), ƒ(1) = 0, f'(0) = 2, and f'(1)=5. What is the value of g'(0)?

A: Given f-1x=gx,f1=0,f10=2,f11=5 The objective is to find the value of g10.

Q: Question Find F'(x) given that F(x) = = Provide your answer below: [ti 2 4x 5 In (1²) dt. (Do not…

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Q: Find the partial traction decomposition of p(2) (2) p(a)=-5212+10511-490 10-1763 +5778 +230427+58852…

A: We have to find p(x)/q(x).

Q: Find an equation for the line tangent to the curve y = 6√x + 4x at x = 1. O y = 14x -2 Oy=7x+3…

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Q: If h(x) = 6 - 3x³, find h' (3). at the point (3,- 75). The Use this to find the equation of the…

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Q: Find the complete solution: dy dx c and m are constants - my = cemx

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Q: K Find the domain and range of the function. f(x)=√√7x+14 The domain is (Type your answer in…

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Q: Find y' if y= - 14 3 X

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Q: Find the derivative of the function using the chain rule (not the "u" version)   *please do not use…

A:

Q: Q4. A. Evaluate: w = [2 + 2√31]50

A: Let's evaluate given complex number equation.

Q: Do not use technology. Evaluate each limit analytically. (a) lim (b) (c) (d) h→0 lim h→0 lim h→0…

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Q: The total cost (in dollars) of producing x food processors is C(x) = 2200 + 90x−0.5x². (A) Find the…

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Q: Suppose that f(x) is continuous on the closed interval [a, e] such that a<b<c<d<e, and Sa f(x) dx =…

A: We have to find the integrals by using sum and difference rule of integration.

Q: Discotinuity?

A: We need to find continuity and discontinuity.

Q: 2. Solve the inequality. Give the solution in set and interval notation, then graph it. -7x + 16 +…

A: Need to solve the inequality and to give the solution in set and interval notation and then we need…

Q: Find the solution: dr = b(cos(0) dr + rsin(0)d0) b is a constant

A: The given equation is; dr=b(cos(theta)dr+rsin(theta)d(theta)).

Q: The graph of f(x) is shown below. Which of the following statements are true? -8 -7 -6 -5 -4 -2 -1 8…

A: f(x) is continuous at x=a if limx→af(x) =f(a)

Q: If f(x) = e³x-2, evaluate the lim X4x Select one: O a. O b. O c. O d. 3e 3x e3x e3 does not exist…

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: 2x If F(x)= -1.2 = 3 In (1²) dt, what is F'(x)? (Do not include "F'(x) =" in your answer.)

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Q: Find a path that traces the circle in the plane y =1 with radius r=4 and center (-5, 1, 4) with…

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Q: Let f(t)=3t^2+10t. Estimate the following to within two decimal places by using small enough…

A: Let f(t)=3t^2+10t. Estimate the following to within two decimal places by using small enough…

Q: In R TOHE R² 1 √√3 J₁ 1 dR arctan(1/x)dx

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Q: (6) Determine the interval(s) of continuity for each function. Identify any removable…

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Q: The number of stolen bases per game in Major League Baseball can be approximated by the function…

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