o lim x-0 x² - sin²2x 2 x 2

Q: 2) evaluate the indefinite integral £x² 9+X² dx

A: We have to find solutions

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Q: 4. [App/10] fo the relation f(x) == x² - 2x determine f¹(x), graph both f(x) & f¹(x) and state the…

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A: Given data :- The expression for the given fiunction a=f(t)=7500-380t Where a= number of…

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Q: The following logarithmic expression, log2 (4), when completely simplified becomes

A: Given,  log2(4)x

Q: 02:- b. find the total differential dz. z = x sin xy + x³

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Q: Find the indicated derivative. df If f(x) = x3, find dx 8 df dx |x = -11 || X 32 X = 10 X 1 2 11

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth…

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Q: Solve the following system of equations using an inverse matrix. You must also indicate the inverse…

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Q: Find the limit: lim (z,y) → (3,3) 4x4 - 4y4 x² - y²

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Q: Activity 2: Find the 4th left, right, and midpoint Riemann sums given intervals. (a.) f(x)= x³ on…

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Q: Based on the graphs of f(x) and g(x), what must the domain of (f. g)(x) be? 10 8 7 6 5 2 g(x) 1…

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Q: Evaluate the integral. [ f(x) dx where f(x) = 4 2 5-x² if -4 ≤ x ≤ 0 if 0 < x≤ 2

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Q: a) Using all the letters of the word SUCCULENT, determine how many distinguishable arrangements…

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Q: 8. How many terms are in the expansion of (2x - y)¹⁰? A. 9 B. 10 C. 11 D. 12

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Q: Seatwork I eliminate the antitrany constants of the following. simplify your answers. En close your…

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

Q: If all the letters in the word FUNCTIONS are used, determine the number of different 9 letter…

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Q: f(x) = c TRY TO FILL THE хо xo FOLLOWING TABLE FUNCTION f(x) = c g(x) = x g(x)=x USING PUTE…

A: This question is based on area and integration.

Q: 4.) s (a²-x²) ³/₂ dx

A: Let's solve given integral.

Q: Which of the following is equivalent to 7% = a + 3? log(a+3) 7 = y log7 y = a +3 log, 7 = a +3 Ology…

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper…

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Q: Correct the answer Find the median for the following numbers: (21, 32,29, 8, 18, 3, 25) A-8 B-7 C-9…

A: To find the median of given set of numbers.

Q: Question 17 D, (cos(sin x)) = O-sin(cos z) - sin + cos z COS I - sin(sin z) O sin(sin x)

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Q: r3 + y = Ty, then y = 32 3» ყ passos " 1 — 34 + ყ 3.72 O x - 3x² + y 3y² O 32 — y — 3g2 - lf

A: Given

Q: Find all roots of the polynomial equation. Use the Rational Zero Theorem, Descartes's Rule of Signs,…

A: Concept: Descartes's rule of signs: The number of positive (or negative) real roots and the number…

Q: 2 3 1. Determine the derivative to y² = x³ + y² + 2xy

A: Given problem:- Determine the derivative to y2 = x3 + y3 + 2xy

Q: Tutorial on 1. Find Let cos²t } -St f(t) dt dt 11 e - St Laplace Transforms Also D to fe S tcost

A: Concept: Using the formulas: L{tnf(t)}=(-1)ndnF(s)dsn................(where…

Q: (0)3-3x+2 sinh' (In x) cosh (In x) (E) sin(2x)dx dx N

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Q: Write an augmented matrix and use elementary row operations in order to solve the following system…

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Q: Find the derivative of the function. 36 9 h(x) = 27x² 9 X

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Q: Problem 3: The graph of h in the figure below has vertical asymptotes at x = -2 and x =3. Find the…

A: Topic = Limits

Q: Eliminate the arbitrary constants of the following. Simplify your answers.  10. y = c1e^x + c2e^-x +…

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Q: 8 8 Suppose ff(x) dx = • ƒ ƒ(a) dz − −1 and 19 (2) da − −4 -1 g dx = -4. 5 5 8 Evaluate f(-2 f(x) +…

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Q: Find the value of x. Round to the nearest hundredth. (6.4)x= 6

A: To find the value of x that satisfies the following equation.6.4x=6To round the answer to the…

Q: 1 Q2: Evaluate fo y² (x² + y²) dx dy

A: Given :∫01∫01-y2y2x2+y2dxdy

Q: The graph of f(t) is displayed below. Fill out the table for values of the accumulation function…

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Q: 1. 5 Let the function s(t)- 111 x² + 10x + 15 represent the motion of a toy car as it travels near a…

A: Note: Since, the student has mentioned a typing error in the function and want to replace the x's…

Q: Verify by Differentiation

A: This question can be solved using the concept of differentiation of function of function.

Q: Consider the initial-value problem y' + exy = f(x), y(0) = 1. Express the solution of the IVP for x…

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Q: x=2y-3 and x=1+4y=2y². (-5,-1) x=2y-3 x=1+4y=2y² 2 0 (1,2) 2

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Q: 1.6 × 10-19 × 1.24 × 104 6.63 × 10-34

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Q: 2. A plastic drinking cup is in the shape of an open top cylinder. The side of the cup is made from…

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Q: 5. 3 C d S a b e porld at t Let λ = 2 be an eigenvalue of an n is correct? (a) |21 - A| ‡0 (b) 21 -…

A: As per guidelines, I can answer maximum one question. Since you have asked for multiple questions…

Q: x=y² - 4y and x=2y-y². (-3,3) -4 -3.5 -3 x=y² - 4y -2.5 -2 X= = 2y-y² -1.5 -0.5 2.5 1.5 1 0.5

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Q: Find the slope for f(x,y) = xeyat P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: We have to find slope

Q: Obtain the orthogonal trajectories of y=Cx^2 and compute for the positive value of y of the…

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Q: H Suppose that f(5)= 1, f'(5) = 3, g(5) = -5, and g'(5) = 2. Find the following values. (a) (fg)'(5)…

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Q: Using the appropriate substitution, what is the homogeneous form of the given ODE:…

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Q: b. Find the values of dz/8x and dz/dy for the following expression: xe+ ye² + 2 lnx - 2 - 3 ln 2 =…

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