1. Evaluate the line integral of E = xax - y ay along the segment P₁ to P2 of the circular path as shown. P₁ = (0, 3) P₂ = (-3,0) X

Q: A bank has decided to set its interest rates to compound monthly on all deposits in order to give…

A: We know the compound interest formula:A=P1+rnntwhere A=Principal amount +interest Amount…

Q: 7. fcsc (3x) • cot (3x) dx csc(3x) A. + C B. -csc(3x) 3 + C C. -3 csc(3x) + C

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: 9. y(y² + 1)dx + x(y²-1)dy = 0 Ans: + xy = c

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Q: L= dx= 1 -2 X 2x4 (A) True B) False | m 100

A: Use basic integration to evaluate definite integration.

Q: 37 Find the length of the arc of a circle of diameter 8 meters subtended by a central angle of…

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Q: Solve for x. O-1,-4 O -1,4 O 1,4 O 1,-4 x-1 3 2 x-2 =0

A: Given,      x-132x-2=0

Q: x4 +1 x³+9x -dx

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Q: Which of the following is not true? 5 dx dx (A) lim S o 25-x² c+5-0 25-x² 3 dx dx So in (x²) B √₁…

A: We have to determine integration

Q: I z2+ 8z + 12 f(z) = a) Give the domain of f (in interval notation) b) Find the critical numbers of…

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

Q: If f is continuous on A) True B False on [a,b], then Sº [ f(x a xf(x) dx = x f(x) dx

A: It will solve by part method integration  ∫u v dx = u∫v dx −∫u' (∫v dx) dx u is the function u(x) v…

Q: cos(x3 (A) True B) False dx=0

A: Here, x6cosx3 is an even function. So, ∫-11 x6cosx3dx≠0.

Q: Find the area enclosed by r = = √2 sin 0 and r2 = cos 20.

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Q: x6 cos(x³) |dx=0

A: Follow the procedure given below.

Q: Consider the function. x³ + 12 f(x) = X Determine the intervals on which f is increasing,…

A: A function f (x) is increasing on the interval I if f'(x) >0 for x in I. A function f (x) is…

Q: Jonathan invested $240,000 to purchase a home. After 14 years, he sold the home for $320,000.…

A: We have to find interest rate on the investment.

Q: ND THE AREA BOUNDED BY THE = x(x-1)², y-AXIS, AND THE =12

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Q: [²₂1 (²) Given than [ f(x) dx = 3 Ⓒ ® B Lof(² f (x) dx = = [₁, ƒ (² f (x) dx - f (x) dr 1₁° dx -2 3…

A: Given

Q: Using Simpson's method spaces) √²x² dx for n = 4 is equal to Blank 1 (use 2 decimal places with…

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Q: If you evaluate the integral expression S_12x+1|dx₁ |2x+1|dx the result is Blan

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Q: (b) the curve x = = y²-y-6 and the line x = = 2y + 4;

A: Given; x=y^2-y-6, x=2y+4

Q: Area A is bounded by the curves Y= X2 and Y=X2/2 + 2 a. Sketch area A and Determine the area of ​​A…

A: Let's solve for area and volume of given two curves.

Q: What substitution should be used to solve the integral O sinu=3x/2 O sec u =2x/3 O sec u =3x/2 O tan…

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Q: Consider the power series. $Σ (-3)^(x-2)^. √n+2 n=o 1. Use Limit Comparison Test to show that the…

A: Note: In the second circled part the student has made an typing error by writing 'x' in the…

Q: Find the area bounded by the parabola x = 8+2y-y², the y-axis, and the lines y = -1 and y = 3.

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Q: 2. Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. HI-4 (a) lim f(x)g(x) #114 (b) lim…

A: Given problem:-

Q: Find the area bounded by y=-x²+1, y = − 2x + 2, x=-2, and y=2. (A) 5 B) 16/3 C) 1/3 (D) None of…

A: We can find the area as below.

Q: If you evaluate the integral expression Blank 1 Add your answer 2x-1 - 3|dx the result is Blank 1…

A:

Q: If you evaluate the integral expression 12x+1|dx the result is Blank 1 (use fraction or decimal in 2…

A: The integration of the integral is |2x+1| limit from -2 to 2.

Q: A B C d Using integration by parts, Then k is? (a)-1.5136 5²x² ²x³ cos (x²) dx = k - S²x - [*x…

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Q: Use parametric equations to describe the solution set of the line equation below. Give the exact…

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Q: If an investment grew to $13,500 in 3 years and the interest amount earned was $1,531.34, calculate…

A: To find out the compound interest.

Q: If you evaluate the integral expression Blank 1 Add your answer 12x + 1 dx the result is Blank 1…

A:

Q: Given: vector-valued function R(t) whose derivative R'(t) = (4t, 6t, —12t) (a) If Ř(0) = (-1,4,-5),…

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Q: Find the length of the curve from the entire hypocycloid 2 2 x3 + Y³ = a³.

A: Explained below

Q: Determine whether the given 3-tuple (6, -2, 2) is a solution of the linear system: 2x₁-4x2-x3 = 2 x₁…

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Q: Which of the following is not true? A √ in(x²) dx = lim_ sin(x²) dx 3 3 dx dx Ⓒ 1² B In(x²) - = lim…

A: Solution is done in step 2

Q: FIND THE VOLUME OF THE SOLID OBTAINED BY ROTATING THE REGION BOUNDED BY y = -10 + 6 x - x ², X = 1…

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Q: Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression…

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Q: Ive what is asked in the following problems. Write your solutions and box your final answer 1. Find…

A: Let's find tangent line and normal line equation.

Q: Find the limit of the following sequence that the limit does not exist- or determine. {(₁ + + )"}…

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Q: Using Trapezoidal method spaces) 1 2 dx for n=4 is equal to Blank 1 (use 2 decimal places with…

A: Given problem:-

Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x - 4 and parallel to the line 6x…

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Q: Consider vector v = (1,2,2), point A(2,5,4) and point B(-1,5,1) - In center-radius form, find an…

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Q: * Ꮴ COS S 0 ( , ) Ꮎ d ᏧᎾ |2

A: To evaluate the given definite integral by using the Fundamental Theorem of Calculus, Part 2.∫0π…

Q: Using Trapezoidal method √√x dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

A: We need to use here, the trapezoidal rule.  ∫ydx = h/2 [ y0 + y4 + 2 ( y1 + y2 + y3 ) ]  For this…

Q: As you are walking in the forest you look up just as a boulder becomes dislodged from the side of a…

A: topic- algebra

Q: s Find the exact slope of the tangent line to the parametric curve π t = x = 9 cos(t) y = 4 sin(t)…

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Q: Which of the following functions have a 4th derivative different from itself? 0x4 ex sin x COS X

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Q: Given f(x,y) = ex cos y, Evaluate fx(0,2) O e² 00 O cos 2 O-sin 2 M

A: We have to find the derivative

Q: Find the indefinite integral: O x4+x+C Ox5/5+x²/2+c O x5 + x² + c O 5x5+2x²+c Sx(x³ + 1) dx

A: Given ∫x(x3+1) dxTo evaluate the integral: