Question 1 To evaluate sin 2r cosº2xdx conveniently, the formula identity to be used is/are A cos 2r =1- sin²2x only sin4x and 1+ cos4x None sin 2x =1- cos²2x only 1- cos4x and 2 sin4x E 2

Q: For f(x,y)=6x7 y6+2eX : (a) Determine fxx(x,y). 5 6 Answer: 252x°y° + 2y e (b) Determine fxy(x,y) .…

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Q: Write the integral that would be used to find the area bounded by y = x2 + 1, y = x - 2, x = -2 and…

A: Given y=x2+1,  y=x-2, x=-2 and x=2

Q: 13 Convert x 2 + y 2 - 2x = 0 to a polar equation. r = 2cosθ r² = 2cosθ r = 2sinθ

A: We have to find the polar equation

Q: 8 Convert the polar equation r 2 = -2 sin 2θ to a Cartesian equation. x2 + y2 = 2 xy ( x2 + y2) 2…

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Q: ( 3x2-3x-3, if x<3 f(x)=. | 2x² +5x+1, if x 23 Find the value of f(2)+f(3). O a. 32 O b. None О с.…

A: option (e) is correct see below the answer and calculation

Q: 11 Convert the Cartesian equation y = 5 to a polar equation. r = 5cscθ r = 5secθ r = 5sinθ

A: We have to find the polar form

Q: If $21.000 is invested in a savings account offering 4.5% per vear, compounded semiannually, how…

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Q: Convert the polar coordinates (4, 315) to Cartesian coordinates. (2√3, -2) (2√2, -2√2) (2, -2√3)

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Q: Evaluate the line integral, where C is the given curve.       Cxy ds,    C: x = t2,    y = 2t,    0…

A: Given:        C xy ds ,      x = t2      y = 2t       0 ≤ t ≤ 1

Q: 1(x) (х+1)* II

A: follow the procedure given below.

Q: Exercises Use the trapezoidal rule of integration to determine the value of the following integrals…

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Q: Evaluate the definite integral. 13 i+ej+t k dt O e13 – 1 -(61 -1) + 1 13 e13 i- (e- - 1) j+ 1 13 2…

A: We have to find the integral

Q: Convert a = 60o to a Car Oy = x/2 Ox = V3y Oy= V3x

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Q: 3. Compute ahi-fin Lireh-fi for the following functions: and lim h40 a. f (x) = sin x

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: What is the equation of the mean line of y=a sin(k(z – d)) + e? %3D O a) y = -a+c O b) x = c c) y =…

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Q: The total number of public electric charging units available for hybrid vehicles has increased…

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Q: 30+y 25+ 20 6, 18) 15+ 10 Find the area of the shaded region enclosed by f(x) = x3 + x2 - 6x and…

A: Explanation of the answer is as follows

Q: Write the quotient in standard form. 4+i 4-i

A: 4+i4-i

Q: The region is bounded by the curve y = 6x – x² and y = x² – 2x –

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: a. f (x) sin x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The decay of an isotope is given by A) Aea00047 where A is the amount of the isotope at time t (in…

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Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards Let A = [ the card is a black…

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Q: Evaluate: dar x 3 - 40.471 2 40.187 2 40.748 - 20.748

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Q: If the following series converges, compute its sum. Otherwise, enter INF if it diverges to infinity,…

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Q: b. g (x) 2.

A: Given query is to find the derivative of the expression.

Q: 3. Two sides of a triangle are 5 and 10 inches, respectively. The angle between them is increasing…

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Q: Determine the parametric equations of the path of a particle that travels the circle: (x-4)2 +…

A: We have to find the parametric equations.

Q: I = 3 sin(60?t) + cos(120?t)

A: answer is in next step

Q: dx Vx3 V2 + x

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Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. f(x) = 3x +x + x-4, k= - 1…

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Q: Find the vector PQ × PR if Р%3 (2, 1,0), Q = (-3,21, 10), R = (5, -2,9) (Give your answer using…

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Q: Find the area of the parallelogram with vertices ?(−1,2,4), ?(0,4,8), C(1,1,5), and D(2,3,9).

A: Let us take  A = (−1,2,4), B = (0,4,8), and C(1,1,5).

Q: (sint – cos t)? =1- sin (2t)

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Q: sẽ the point which shows the correct location for the polar coordinate (-2, 180°). 90° 2 4/2 135° 7…

A: point (-2,180) here -2 show radius of circle  180 is angle with x axis here one circle is 1 unit…

Q: Use the graph below to find the inflection point(s) and concavity:

A: Answer is in step 2

Q: x² +1, if x-1 odd f(x)= ,2_1. if x+1 even Find the value of f(1)+ f(2)+f(3). O a. None O b. 12 О с.…

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Q: Find T(t) and N(t) at the given point. r(t) = 2 cos(t)i + 2 sin(t)j + tk; t = 2 T -25 i + 15 k NE) =…

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Q: ax+3, if x <2 f(x)= It is given that f(1)=5 bx2 +2, if x 22 and f(2)=6. Find the value of f(a+b). О…

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Q: 9 Given that tan 0 and that angle 0 40 terminates in quadrant II, then what is the value of sin 0?

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Q: Question 11 The value of x that would give an extraneous solution, 1 х — 1 х — 1 is x =

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Q: y = x° – 6x, y = x² у — х b. Find the area of the region enclosed by the two equations. Only include…

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Q: Given the area of the region enclosed by y = 2 – x´ and y =-x, identify the integral that represents…

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Q: Simplify arcsin(sin 6 7). 6 7I

A: We have to find the angle

Q: the area of the region enclosed by y = 2 – x´ and y = -x, identify the "a" and "b"

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Q: Find and classify the critical points of f(r, y) =r³ - 6ry + y³. %3D

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Q: A function f has the form f(x) = a + b In(x). Find fif it is known that f(1) = 1 and f(2) = 8.…

A: Find your answer below

Q: A Ferris wheel has a radius of 30 m, makes a full rotation in 3 minutes, and the axle stands 35 m…

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Q: Use Theorem 7.4.3 to find the Laplace transform F(s) of the given periodic function. F(s) = f(1)4 1…

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Q: 1 6. cos-xdx cos* xdx xprt.

A: We need to solve the integral.