1 0 2 Find 2A, A - B and B+C or explain why it is impossible to do so. A = [000] ,B = " [102] 1 ,C= 1 0 0 ㅠ -8

Q: Using lim 0-0 lim t-0 lim t-0 sin 0 Ө = 1, find the limit. 4t²-3t+2 sint 7t 41²-3t+2 sint 7t =…

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Q: please show the detailed calculations how x became -rcosθ and y=-rcosθ.

A: Let's solve.

Q: Find the domain and range of the function. f(x) = 3+x² Identify the domain of f(x). (Type your…

A: Given, f(x)=3+x2 Aim: Find Domain and Range

Q: Problem #2: Evaluate Sfxy ex²164, R where R = {(x,y) | 0 ≤ x ≤ 2, 0 ≤ y ≤ 8}. dA,

A: For the region R , limit of x is x=0 to x=2limit of y is y=0 to y=8

Q: b) Assume that the function is exponential. Complete the rest of the table. 1. II. T III. X 1 2 3 4…

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Q: Solve the initial value problem with piecewise right hand side where f(x) = = y(x) = y(x) = 7 if 0≤x…

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Q: Find the indicated derivative. q²+2 3q 2 dq 11 dp dq for p =

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Q: [ 2 3t+4 dt

A: Topic:- calculus and application of integration

Q: At what points is the following function continuous? f(x) = x-3x-4 X-4 5, 1 x #4 x = 4 The function…

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Q: Hard to understand when everything is on one line like a paragraph. Could you please break this down…

A: Note:- These are multiple questions and according to our company guideline we can do maximum 3…

Q: At what points is the function y = x+3 x²-11x+24 continuous? 1 Describe the set of x-values where…

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Q: Calculators may be used for the following questions. In right triangle AABC point A is moving along…

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Q: Question Given f(x) = -2x2 + 4x + 13, find f'(-4) using the definition of a derivative. Provide your…

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Q: 8 CO 6 X G 51 Co MAH 40% +++ BIAN 013 FOR 7 CO

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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: The Graph below represents the velocity of a particle moving on a horizontal line on the interval…

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Q: 9. Calculate the value of the partial sum for S4 and S5, find a formula for general partial sum Sn,…

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Q: A die is rolled. Find the probability of the given event. (a) The number showing is a 2; The…

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Q: Suppose that f(x) = C 4x-8 Then, The domain of f is {a E Rx # Number f-¹(z) = } an and

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Q: g'(-5)=3. Find an equation of the line tangent to the graph of F(x) = f(x)g(x) at x = *** The…

A: Topic:- application of derivatives

Q: 3x² - y2 + 18x-2y-10=0 4x²-4y²-8x-8y-19 = 0

A: Given Equations:- 1. 3x2-y2+18x-2y-10=0 2. 4x2-4y2-8x-8y-19=0

Q: Evaluate if the limits exist of the following (show your table of values): A. lim Inx x→0 x³-1 x+1…

A: limx→ 0lnx

Q: Find the speed at the given value of t: r(t) = (et-5, 12,5t-¹), t = 5 v(5) =

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Q: Find a plane containing the point (6, 8, – 8) and the line r(t) = ( − 2, 6, 7) + t - 5, 3, − 3).

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

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Q: Suppose that lim f(x) = 9 and lim g(x) = -5. Find the following limits. X-4 X-4 a. lim [f(x)g(x)]…

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Q: f(x)=square root x+7, g(x)=square root x-5 Find the function fg and then determine the domain

A: Given fx=x+7, gx=x-5

Q: Determine whether the improper integral converges and, if so, evaluate it. (If the quantity…

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Q: If z= x cos(y) and if x = st and y = 2st then the partial derivative of z with respct to t is (2st)…

A: Let's find partial derivative of z.

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: The graph of f(x) is shown below. Which of the following statements are true? 00 7 6 5 4 3 2+ H -5 Y…

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

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Q: dx of √ x² + x√x 9

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Q: The median home price in the United States over the period January 2010-January 2015 can be…

A: Topic- Application of derivatives we are given P(t)=4.5t2-15t+180 where P(t) represents median home…

Q: Consider the following. Find the value of y when x = 1. y(1) = Find dy dx dy dx = y (6x2 - 6x +…

A: find equation of tangent line? y=6x2-6x+11+2xat x=1y=13y=3pointx1,y1≡ 1,3

Q: f(x)=square root x+7, g(x)=square root x-5 Find f-g and then determine the domain for the function

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Q: Evaluate the integral. 2 X Jo x² + 4x + 20 dx

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Q: 6. 3.x lim x-1 x² + 2x + 1

A: given that limx→-13xx2+2x+1

Q: Question Determine the intervals over which the function shown below is continuous. Enter your…

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Q: Find the arclength of the curve r(t) = (10√√2t, e10t, e-10t), 0≤ t ≤<1

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Q: 1 If f(x) = find lim X h→0 0-1/160 O 01 O O 14 f(4+h)-f( h

A: Topic:- calculus

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: What are the three ways a function is not different at a point x=a? ( sketch the graph for wash…

A: Guven question:- What are the three ways a function is not different at a point x=a? ( sketch the…

Q: lim 8118 77x7 - 18x6 + 48x x³ (13x6 +68)

A: limx→-∞77x7-18x6+48xx313x6+68 We have to find the limit.

Q: 9. y² = 4ax

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Q: Differentiate. f(x) = ln(csc 5x + cot 5x)

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Q: Find the curvature of the curve r(t) = (e−²t, 2t, 4) at the point (1, 0, 4).

A: Topic = Vector

Q: Box your Final answer with a complete solution. Then Graph, emphasize the Limit. 2. lim I-3 √x²+7-3…

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Q: Question Use the method of partial fractions to evaluate the following integral. 5 | arus x³ - 343…

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Q: Find f'(x) if f(x) = .

A: The given function is fx=π We have to find the derivative of fx