Let f: [1,1]→ R be a function given by f(x)=2x-x2. Then the inverse image (preimage) of [0,4] under f is

Q: In Exercises 19-24, match the parametric equations with the paramet- ric curves labeled A through F.…

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Q: 8. The graph of the equation |2z - i| = 4 is most likely: A. C. B. 36 E. none of the above D. iy

A: Compare with the general equation of circle in complex form

Q: 4. If z = x + iy = (x, y) then the Re(iz) A. Imz B.-Rez C. -Imz D. Rez E. none of the above

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Q: For the curve f(x) = Find the horizontal and vertical asymptotes. x-4x² +2 x² - 4x +4

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: To find sets of parametric equations and symmetric equation of the line that  passes through the…

Q: Solve: x²y + xy' -n²y = 0 General Solution: y = C₁ *letters only a.x2n b. x-n a.xn b. x-2n c. x2n…

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Q: z = (y - 2x) ³, where x = s²t and y = st². Use the Chain Rule to find, when s = 2 and t = -1.

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Q: If f(x, y) = x cos y, then fry(0, 1) = ? Select one: O 1 -1 O None of them sin y

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Q: To find a partial fraction decomposition, we should write: x+6 x²-11x+30 Select one: O True O False…

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Q: 5. Find the area bounded by the polar curve r = 4cos30.

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Q: if a = (3, 2, 9) and b = (-4, 7, 2), find a • b.   a) a • b =-9   b)  a • b = 19   c)  a • b =…

A: In this question we have to find the value of a·b

Q: Evaluate the definite integral by the limit definition. L₁x³dx

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Q: 4. (xy² + 2x²y³) dx + (x²y - x³y²) dy = 0

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Q: 2x² sin x + 3y³ lim (x,y) →(0,0) 3x³ + 2y² if we approach along y-axis, we will get 0. Select one: O…

A: To determine whether the following statement is True or False.limx, y→0, 0 2x2 sin x+3y33x3+2y2if we…

Q: If f(x, y) = A In (x² - y) -x+y+1 O {(x, y) x² > y, {(x,y)|x² ≥ y, ○ ○ {(x, y) x² > y, | then the…

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Q: 11. Determine whether the given quadratic function has a maximum value or a minimum value, and then…

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Q: Question Select one: equals 4. None of them does not exist. equals 12. equals 0. 8x³ - y³…

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Q: Question 1 [ Let 7 f(x, y) =ln(xy)-50x³y Find fx, fxy and fxyx.

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Q: Which of the following rational functions is equivalent to the partial fraction decomposition 2x 2x…

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Q: Find (²-1) ln(x)dx

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Q: 4 lim z+0x5

A: topic- limits Since denominator is negative, and near to zero .Therefore limit tends to negative…

Q: 2n Consider the series ₁ (-1)" (1 + 1)². Which of the following statements is true? n=1 The series…

A: A series ∑n=1∞ an is said to Converge Absolutely if the series ∑n=1∞ an converge and Conditionally…

Q: 4. Graph the equation: f(x): = 1, -2x + 4, -2, -3≤x≤0 0 ≤ x ≤ 3. x > 3 -1 5+ 44 3- 2+ +1 -1- -24 -3-…

A: This is a graph of piece wise function

Q: give an example of derivative

A: We have to give an example of derivative

Q: ات, 01 +19+₂1 x+₂²0 +19+₂. 1. Evaluate

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Q: 6. Find the area bounded by the curve 2y² + 4x + y = 0 and the line y = 2x.

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Q: The domain of the function f(x, y) None of these This option D= {(x,y) = R² + +1} This option. D=…

A: We want to find the domain.

Q: For the limit, sin(x² - y²) x² - y² if we approach along y-axis, we will get 0. Select one: O True O…

A: We know :- If we approach along y axis the x=0

Q: 9. The equation of the graph of the shaded region below is most likely to be Im A. |z − 4 + i| ≥ 2√3…

A: The objective of the question is choose the correct option for the region.

Q: Solve ODE (1 + x²)dy + (xy + x³ + x)dx <=0

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Q: If f(x, y) = 9x² - 6y³ - 7 cos(-6xy + 플) then Select one: O True O False fy(л,0) = -42

A: Given function is f(x,y)=9x2-6y3-7cos-6xy+π2. We have to find fy(π,0) that is partial derivative of…

Q: Use an appropriate test to determine whether the series converges. 1 2 3 24³ 25 By the + + + Limit…

A: here, we will use comparison test to check the convergence .

Q: If A(3, 2, 9) and B(-4, 7, 2) are two points in 3-space, then find the vector AB. a)  AB= (-7, 5,…

A: If A(3, 2, 9) and B(-4, 7, 2) are two points in 3-space, then find the vector AB.

Q: The area of the region enclosed by the two curves y=x²-4 and y = x - 4 is given by

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Q: For the limit, lim (x,y)→(0,0) sin(x² - y²) x² - y² if we approach along y-axis, we will get 1.…

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Q: et dx √ (e² = d − 1)(e* + 2)

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Q: If f(x, y) = Select one: O None of them In (x² - y) then the domain D of the function f is given by…

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Q: 253-45-8 (5²-5) (5²+4) 253-15-8 s(5-1)(5²+4) Focusing on 5(5-1) (5²+4) A+B (3-1) S on denominator +…

A: Solution of given question is written in below steps.

Q: Let f(x) = x³ + √√. Then f'(1) = 02 O 1.5 O 3.5 04

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Q: Work Problem for the question. Let You must provide a clear and detailed solution z = (y-2x)³. where…

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Q: 8. Use the graph of the function f to find the following: 13 (-5,0) 4 -3 -2 -1 (-3,-2) 3 2 H (-1,-2)…

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Q: y-values 9: 8 7 6- 5 4 3- 2- 1 g(x) f'(1) = 1 If f(x) = g(h(x)), then --1/32 2 3 x-values Submit…

A: 1st We have to extract equation from given graph. Then we have to apply according to question asked.…

Q: r(t) = (−2 cos (2t), 3 sin (3t), In (2t)), then the fr(t)dt is equal to 3 Cos cos 4 where C is a…

A: Given:    rt=-2cos2t,3sin3t,ln2t then  ∫rt dt =∫-2cos2t,3sin3t,ln2tdt…

Q: Problem 1 Let = (1,2,3), 7=(2, 2, -1), and =(4,0,-4). Find 27+ 4-w. Problem 2 Let = (1, 2) and =…

A: To express vector v as a linear combination of u and w.

Q: Question An equation of the plane passing through A (1, -1, -1), B (1,0,2), and C (-1,-1,-5) is:…

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Q: Find f tan 0 de. ] a. C. - In sin 0+ C - In cos 0+ C sec² 0 + C - In sec 0 + C

A: Here we have to solve the integral.

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x-3y 4 + 1 2 P(x,…

A: Solution ) to find the point p (x - 3)/4 = (y + 1)/2 = z + 4  = 0 (x - 3) /4 = 0   ,   (y + 1) /2  =…

Q: n! 1 · 3 · 5 ··· (2n − 1). +∞ n=1

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Q: √x +3 xy + 7 y). If f(x, y) = the domain of ƒ(x, Select one: True O False then the point (1, −7) is…

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Q: r(t) = (-3√√9-1²,4 sin (4t), 2 In (-3-2t)), then the domain of r is given by the interval Select…

A: Here, r(t)=-39-t2, 4sin(4t), 2ln(-3-2t)