graph off consists of line segments and a semicircle, as shown in the figure. Evaluate each definit (a) حرة (-4,-1) [ F(x) dx (5) ( f(x) dx Laundr di 2 1 (4,2)

Q: Evaluate cosh² x dx 0 (sinh2n +a). +x) + C O2e² +42 + C 8 O None of the choices O cosh(z)sinh(z)++C

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Q: P₁: -60x + 90y + 120z = 29 P₂: 4x - 6y - 8z = 5 P3: -20x + 30y + 40z = 4 P4: 12x18y + 24z = 9

A: Follow the procedure given below.

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: Find where it increasing and decreasing x^5-2x^4+3x^2-5x+

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Q: A B O A OB O OD 1 13 (sin(3z))¹⁰ + C 1 33 ſ cos(3z)sin¹⁰(3z) dz 1 3 (cos (3z))¹¹ + C F None of the…

A: Here we have to find the integral.

Q: Choose the correct answer for the following limit: x²-812 lim (x,y) (0,0) x +9y Select one: O A.…

A: We have to calculate the limit.

Q: Evaluate: 0 tan-¹ (0) de arctan(0)—0 2 giarctan0+ + C arctan0+ arctan(0)–0 2 -arctan0+C 0–arctan(0)…

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

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Q: If f(x, y) = x²y + cos(x) then (fx, fy) = (2xy + sinx, x²). Select one: O True O False

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Q: Use an appropriate test to determine whether the series converges. 1 2 3 + 24³ 253 26 By the + +…

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

A: Given :fx, y=-x cosy

Q: √1-y 6.(2-x-y) dx dy 0 0

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Q: Find the limit, if it exists, or show that the limit does not exist. x² - 3y² lim (x,y) (0,0) x² +…

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Q: In(t³ + 1) + t³ + 1 r(t) = 4: then the limit lim r(t) equals 1-0 -i-(4e-²¹-5e²¹)j- - sin³t -k, 13

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Q: 10. Given the complex function 1+z z² Evaluate f (₁¹) A. 1 + 3i f(z) = B.-1-3i = C. 1-3i D. -1 + 3i…

A: Given that a complex function - f(z) = (1+z)/z. And we find f(1/(1-i)). Here i = "iota" that is an…

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

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Q: (5x¹2xy)dx + (6y+kx²)dy = 0

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Q: Find the general solution of the following differential equation. y" + 4y + 8y = 0 NOTE: Use cy and…

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Q: Given the functions f(x, y) = 4 cos(4x - 6y) and g(x, y) = -6 cos(4x - 6y). af The partial…

A: Here we have to use the concept of partial derivatives

Q: Find the limit, if it exists, or show that the limit does not exist. 2 x² - 3y² lim (x,y)→(0,0) x² +…

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Q: Evaluate f 2x³ +9x (x²+3)(x²-2x+3) dx

A: Evaluate ∫2x3+9xx2+3x2-2x+3dx=?

Q: Let z =ellxy-56y and x =5616 + 6 and y =sin(s + 56). Use the дz дz Chain rule to find and dt - дл

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Q: Find an explicit formula for the general term an of the sequence. {1,- -/-/- 3 5

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Q: None of the other choices 7 The curve y = f(x) has the horizontal asymptote y = Select one: 00 1…

A: Given function:- f(x) = (x+35)/(x-5)  To find:- Horizontal asymptote of f(x)

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

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Q: The following limit lim Select one: 16 equals 1 3 equals 0. does not exist. None of them equals 2x²…

A: To evaluate the following limit.limx,y→-2,2 2x4+2y43x2-3y2

Q: 4. fx(2x - 1)'dx

A: This is a problem related to integration. Please find the general procedure given below. As per the…

Q: x - 4y = 26²

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Q: Find lim PHEL x² + 100-10

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Q: If f(x, y) = 2√x² + y² - 16, then the domain of f is the set D = {(x, y)]x² + y² ≥ 4}. Select one:…

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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: 3. (x² + y²)dx - 2xydy = 0 [Answer: x²-y² = cx]

A: Here we use the method of substitution y=vx then dydx=v+xdvdxsee below the calculation and…

Q: = 2√/16 - x² - y2, then the domain of D = {(x, y) x² + y² ≤ 16}. 2

A: We have to choose the correct option from the given options according to the given information

Q: If -9x+7y √6-x²-y² f(x, y)= then the domain of f is equal to D = {(x, y)| x² + y² < 6} Select one: O…

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Q: Ja Inadr

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Q: A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east…

A: Using the Pythagoras theorem for the figure: Let, z be the distance between two vehicles. We have:…

Q: In³ w 3 w√In²w-4 mp

A: Given :∫ln3wwln2w-4dw

Q: 1 x xy 14. JJ j dz dy dx 0x²0

A: We can find the value of the integral.

Q: Let A = A(r) give the area of a circle of radius r. The instantaneous rate of change of the area as…

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Q: A region is bounded by the curve y = √√2 - x and the lines y = -x and the x-axis. The integral…

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Q: If In (x² - y) -x+y+1 then the domain D of the function f is given by the set Select one: f(x, y) =…

A: Given function:- f(x,y)=lnx2-y-x+y+1  find domain of f(x,y)

Q: Evaluate: cot¹ (+) -do 0² O None of the choices Ocot³ (1)-cot (1) + 0 n ( ² ) − ² + c - ()επει ο -…

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Q: Exercise: 11 [ Solve the non-exact differential equations (Apply Rule IV)] 2. (xy³+y) dx + 2 (x²y²…

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Q: Evaluate: 0 tan¯¹ (0) do

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Q: Determine the vector equation that represents the curve of intersection between the cylinder 2¹² +…

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Q: π/2 0 /1-cos2xdx

A: solution:-∫0π21-cos2xdxwe know that cos2x-sin2x=cos2x1-sin2x-sin2x=cos2x1-cos2x=2sin2x

Q: For the piecewise defined function None of these 2 what should be the value of c so that we have…

A: In this question we have to find the value of c so that f(x) is left continuous at x=1

Q: If f(x, y) = √6xy - 4x + 30y then fa = Select one: O True O False -4√6xy+3y √6xy

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

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

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