43. YA 3 -1 y=2x L (3, 3) 3x

Q: 9. 54 = a¹

A:

Q: Tara has decided to start a walking program.Her initial walking time is 5 minutes. she plans to…

A: We will find the required.

Q: Write interval notation for the given graph. -10 9 -8 -7 -6 -5 The interval notation is (Type your…

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Q: 3. f(x)= A. True B. False 4x²-5, x≤4 is continuous and differentiable everywhere. 32x-69, x>4

A: We have to check whether the function is continuous and differentiable or not

Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: average

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Q: Which of the following is the complete set of roots of the auxiliary equation fory""-3y+3y'-y = 0.

A: Given y'''-3y''+3y'-y=0

Q: domain

A: Please refer to the image below

Q: Evaluate the line integral r(t) = (sin t, cos t, t), F · dr, where F(x, y, z) = −3xi + 2yj + 4zk and…

A: Given:- Fx,y,z=-3xi+2yj+4zk rt=sint,cost,t To find:- ∫cF.dr , where c is given vector rt ,0≤t≤3π2

Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

A:

Q: Let A = (3, 4, 2), B = (-1, 4, 4), C = (-2,−1,0), and D = (2,−1, -2). Find the area of the…

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Q: 21) 4n² +4n+36=0

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Q: If a = (1, 2, 1) and b cross products. 1. a × b : = 2. b xa = = (12, 15, 1), find the following

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Q: 5. How many compounding periods are there in the following investment? Dan invests a principal of…

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Q: Evaluate [si sin 3x cos 5x dx.

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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: Concept: Average velocity and instantaneous velocity is given by the following equation:…

Q: 1. f(x) = (x+4)² 2. f(x)=√x +3 +40 CHI

A: 1. Parent fuction will bef(x) =xto understand better I have drawn the graph using online tool (will…

Q: #4 The function E (t) = 4.66459 t4.4054 describes the available capacity (in kilowatt hours = kWh)…

A:

Q: 1. The first derivative of the following function is: a. b. C. d. csc²(xy)+1 x csc²(xy)+1 xy x -y xy…

A: Topic = Derivative

Q: Fill in the blanks: As x → 5, f(x) → , meaning the graph of f(x) has a asymptote. The equation is…

A: By using the graph of fx to answer each of the question that follows. i To fill in the blanks:As…

Q: maximum

A: The fine F for violating these limits is $10 for every mile above the maximum or below the minimum.…

Q: 335. f(x) = TUL

A:

Q: Find and simplify each of the following for f(x)=3x-6. (A) f(x + h) (B) f(x+h)-f(x) (C) f(x+h)-f(x)…

A: Given query is to perform indicated function operations.

Q: A water storage tank for crop irrigation holds 800 gallons of water, and has been draining from the…

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Q: A water storage tank for crop irrigation holds 800 gallons of water, and has been draining from the…

A: To find the slope of the secant line.

Q: H] Example: If an amount of $5000 is invested at 3% compounded quarterly, what is the amount after 3…

A: Note:- since part f incomplete to find value of x we need equations of revenue function and cost…

Q: 4. f(x) = 2x2-10, g(x)= =-x

A:

Q: given the parent function f(x) = x2 squared write an equation that moves f(x) left 4 units and up 1…

A: The parent function fx=x2moves 4 units left and 1 unit up.

Q: 2. Determine the common ratio for the sequence: 1, 3, 9, 27, 81, ... a. 3 b. 3 Cc. -3 d./

A: Given query is to find the common ratio.

Q: For what values of a and b is the following function continuous at every x? - 10 f(x) = axb 4 x≤ -3…

A: Function to be continuous at point x = a, it must be defined at that point.

Q: A sphere is tangent to the x-y plane, the x-z plane and the y-z plane and it's center is the first…

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Q: Given s(t)=t² + t, find (a) v(t). (c) the velocity and acceleration when t = 4. (b) a(t). (a) v(t) =…

A: Concept: The instantaneous velocity at a given time is the derivative of a function that represents…

Q: F] Draw a rough sketch of the following relations. (Show work) 1) f(x) = 3x - 2 2) f(x) = x² + 4 3)…

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Q: -5 -4 -3 -2 -1 O 3 2 1 7 -2 -3 -4 5 2 3 Write the domain of the function above using interval…

A: Domain is the set of  x-values for which function is defined.

Q: Find a formula for the nth term of the sequence in terms of n. 3² 3³ 34 1 3 3 - 4' 6 8 " 10 " 12

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Q: Let f(x)= -2x^2-x, if x1 Find limx-1- f(x).

A:

Q: converges

A: We have to determine the given series is convergent or divergent using integral test

Q: Solve for a. 8. 9a = 16 - a² 9. 54 = a¹

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Q: 9-30. Finding area Determine the area of the shaded region in the following figures. V X y=x²-2

A: We have given to find area of shaded region  Region is bounded by two curves  y=x ........(i) y=x2-2…

Q: In the diagrams below, three points with equally spaced x-coordinates are shown. (0,1) (2,5) mi a.…

A:

Q: 3) Prove that : tan z = 올n(부를) In

A: To prove the given identity.

Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

A: Greens theorem states that "for closed curve C enclosed a region R then the line integral along the…

Q: List the ordered pairs obtained from the equation, given {-2,-1,0,1,2,3} as the domain. Graph the…

A: Given: y=-2x+2

Q: Recall the integration by parts formuala: Complete the following computation = [f(a)g'(x)dx =…

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Q: Find a nonzero vector normal to the plane z − 5(x − 1) = −2(3 — y). - -

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Q: 18. The graphs of f'(x) and f"(x) are shown below. Which of the following statements best describes…

A: Here we have a graph of f'(x) is

Q: Evaluate the integral. (Use C for the constant of integration.) √x²√3 dx √3+2x-x²

A:

Q: the derivative. 28) y = x5/6 A) 5x7/6 B)x1/5 a C)/x-5/6 D) Ex-1/6

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 10. A particle moves on the x-axis so that its position is continuous on the interval [3, 13] with…

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Q: Given f(x) = 19xº sinx+12x−7, find f'(x). f'(x) =

A: Concept: Differentiation: The slope of the tangent to the curvey = f(x) at (x, f(x)) is the…