(Prob. 2, A particle is moving with the given acceleration. Find the position function s(t) of the particle. a(t) = 8 sint + √t, s(0) = 0, S(T) = 1

Q: (a) graph each quadratic function by determining whether its graph opens up or down and by finding…

A: Concept Used: Basic properties of the function Vertex: Use the vertex form, y=a(x-h)2+k, to…

Q: [f F(x) = f(6f(3f(x))), where f(0) = 0 and f '(0) = 2, find F '(0). F'(0) = X

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Q: Please hand write it out

A: Given figure:- y=2sin(x) √(1+cos(x))

Q: Consider the solid obtained by rotating the region bounded by the given curves about the line x = 3.…

A: The volume for solid of revolution between curves is the volume of object between a curve fy and a…

Q: For the equation given below, evaluate y' at the point (1, −2). (6 + y)³ + 4y = x + 55.

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Q: Determine the following limits.

A: Given data:- The given expression is, limθ→0+cscθ

Q: QUESTION 9 Find the equation of the tangent line of y=x² at the point (1,1) Oy=-2x+1 O y-2=--(x-1)…

A: To find the equation of tangent line.

Q: How are the domains, ranges, and graphs of functions and theirinverses related? Give an example.

A: Domain of a function is the set of all input values of the function on the x-axis of graph.and Range…

Q: "+y+54y= g(t), y(0) = 4, y'(0) = -2,

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Q: Identify the inside function,  u = g(x),  and the outside function,  y = f(u). y = (x2 − 5x + 9)3…

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Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

A: The given equation of function  is f(x)=-4x2+8x+3 We have to find the critical point And find the…

Q: For Exercises 5–10, a. Simplify the expression. b. Substitute 0 for h in the simplified expression.…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: (a) graph each quadratic function by determining whether its graph opens up or down and by finding…

A: A quadratic function is f(x)=ax2+bx+c where a,b,c∈ℝ.Graph of f(x) opens upward if a>0 and opens…

Q: lim In (x,y) →(3,0) lim 1+ y² x² + xy, x - 4y²

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root…

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Q: Use the table of values to evaluate the expressions below. x f(x) g(x) 0 8 1 0 2 3 6 7 859557 9 9 1…

A:

Q: If r > 1, nPr is less than nCr. Determine whether the statement is true or false. If the…

A: Given: If r > 1, Formula Used: Crn = n!r!(n-r)! Prn = n!(n-r)!

Q: Identify the Vertex and Axis of Symmetry of a Quadratic Function

A: Standard form of a quadratic function is=ax2+bx+c where a,b,c are real numbers.Vertex of the…

Q: In Exercises 7-10, determine from its graph if the function is one-to- one. [3 - x, x -3 9. f(x) =…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2.42 0,2х-2х+8

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Q: Laws of Exponents and Logarithm: Simplify the expression using the laws of logarithms and exponents:…

A:

Q: Use the graph of f(x) to evaluate the following: 9 5 4 3 رنا 2 1 f(x) 2 5 Average rate of change of…

A: Graph of the function is given, we have to find average rate of change over the interval 1,4.

Q: Solve the following differential equations. dy/dx + 3y/x  = 6x2 when x=1, y =0.

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Q: Find the derivative of (3x+4)³ (-3x - 2)4 You should leave your answer in factored form. Do not…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Ả = -ít 2 tử D = -5i + 3j-k Find the following: a) 2A C + 3D B B =i+4j+5k E = -3j+k C = 57-j+4k ||Ã×…

A: First we will find magnitude of both vector D and E.

Q: Evaluate the following limit: lim, 2 (2 6²5-6 2y³-5y³+5y-6 1/3 7/9 00 -2/5

A: L'Hopital's rule is used

Q: An object is dropped from the top of a cliff 600 meters high. Its height above the ground t seconds…

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Q: What is an algebraic expression? Give an example with your explanation.

A: The concept of algebraic expressions is the use of letters or alphabets to represent numbers without…

Q: 4. Complete the square and list the key features. Be sure to show and explain all work. -direction…

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Q: 16. Write the numbers in scientific notation. a. 4920 b. 0.00492 c. 4.92

A: Given data:- (a);  4920   (b); 0.00492 (c); 4.92

Q: 2. Eliminate the arbitrary constant on the given equation: y = C₁x² + C₂e-2

A: Note:- Since you asked multiple questions as per our policy  we can solve first question for but as…

Q: For Exercises 10–11, simplify the expression. 10. 15.2c?d – 11.1cd + 8.7c²d – 5.4cd 1 (6 – 4x) + 3 +…

A: Given data:- 10) 15.2 c2d-11.1 cd+8.7 c2d-5.4cd 11) 8-4x2-12(6-4x2)+3+13x2

Q: Write the expression in rectangular form, x +y i, and in exponential form, reie [3 cos π COS + i sin…

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Q: lim x,y) →(2,1) (2x² + y) = 9.

A:

Q: 2. Find the general equation of the circle passing through (1,1), (−2,3) and (3,4).

A: Solution

Q: Question 14 Determine the average rate of change of the function below from x = 0 to x = 8. f(x) =…

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Q: Determine whether Rolle's theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: Which of the following equations has a solution of the form F(x,y) = C 3x) dx = 0 dx A. 2x + 3y +…

A: To determine which of the following equations has a solution of the form F(x, y)=C.A…

Q: Find the equation of the tangent line to y = 24 (sin(0) + cos(0)) at 0 = 품. (Use symbolic notation…

A:

Q: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) 14(860) +…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is where F=fine in…

Q: If b + 0, then b

A: Given: If b ≠ 0, To find: then b0 = ?

Q: e sum of the square roots of any two sides of an isosceles gle is equal to the square root of the…

A: Isosceles triangle have two equal sides in length.

Q: When an antibiotic is introduced into a culture of 20,000 bacteria, the number of bacteria decreases…

A: Concept Used: Exponential growth or decay function y=y0ekt y0 be the amount or number present at…

Q: Vectors Describe vectors b and c in terms of vector a: b = X a 4 CN C=

A: Solution: Let each square of a graph is 1 unit Length of vector a is 8 units Length of vector b is 2…

Q: Evaluate the limit: limx→ N|C 00 0 3 None of the choices 0 ∞ 3x²-4x+5 2(x+1)²

A: To evaluate the given limit of the function.

Q: -(-a) =

A: Given data:- The given expression is, --a=______?

Q: Consider f(x, y) = x² + 4y. (a) Find Af(x, y). (b) Use the concept of increment to show that f is…

A:

Q: Find the domain and range of the function graphed below. 8 7 6 Domain: (-00,00) 15 Range: 3 -8 -7 -6…

A: The graph of the function is To evaluate: The domain and the range of the function.

Q: 1) Solve the following inequality: a) using sign diagrams, b) Graphically. Show all diagrams and…

A: The Solution is given below

Q: Given J(2) following compositions: a) (fog)(x) = (fog)(x) = b) (gof)(x) = (gof)(x) unsimplified AND…

A: Given; f(x)=5x-5 and g(x)=x2-4x+7.