'x/2 dx Using an appropriate algebraic substitution, the integral - 1+x3/2 reduces to 2y² dy A 1+y³ 4y5 dy B 1+y3 4y$ dy I+y 2y² dy D.

Q: Find the principle solution of tan(4 – 4x)= 0. %3D

A: find for x tan(4 - 4x) = 0 4 - 4x = tan-(0)              [ take both side tan inverse 4 - 4x = 0…

Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. P+1 dt (Express numbers in…

A: Evaluate the integration using the fundamental theorem of calculus.

Q: Convert the polar equation r² = 2tan 0 to a Cartesian equation. x3 + y3 = 2 y x3 + xy² = 2 y x² + y²…

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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…

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Q: Luse the Half Anola Forula cos2

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Q: Consider the series Σ 1+ 6n n=0 If we let f (x) = then f f(r) dr %3D 1+6 x O is finite. O is not…

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Q: please

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Q: . Using the vectors in the previous item, which of the following vectors makes an angle of 90° with…

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

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Q: Find an equation of the inverse relation. x°y= -7 3 ... Choose the correct equation below. O B. y= -…

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Q: (4x²+ 5x*)dx (x+1) (x²– 6x + 34) 2 By method of partial fraction, the integral can be evaluated when…

A: Please see the below picture for detailed solution.

Q: Determine the interval of convergence of the following power series: * (z- 2)" Vön n= Answer: Click…

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Q: 6 3 х+7

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Q: Write the expression as a logarithm of a single quantity. In(8) + In(x + 5) - 4 In(1 + Vx)

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Q: Write the integral that can be used to find the region bounded by x = -3y² + 4 and x = y³.

A: We have to construct  the integral to find the region bounded by given curves.

Q: Question 10 Evaluate: Jev*dx. 2ev(/x+1) A +C 2 2ev/x-1) В + C C) © =2ev/x- 1) +c

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Q: 4. (entroid š pon! of intersetion of 3 mudiens of A hriangl. FAE Ba =/3 DE AG =43 AD (ent roid ond…

A: A triangle ABC, with median AD, BE & CF concurrent at centroid G. Also, AG = 23ADBG = 23BECG =…

Q: Of all rectangles with a perimeter of 33, which one has the maximum area? (Give the dimensions.) The…

A: perimeter of rectangle = 2(l+b) = 33 l+b = 33/2 l = 33/2 - b area of rectangle = l*b (33/2 -b)(b)…

Q: #10-The maxgmad cost of a produt is madeled by T when x:3, C40. Find the cost furction.

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Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 - cos(3e") - -cos(11e*) +C 22 sin(3e") - sin(11e*) + c 22…

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Q: 25 - x2 In dx , if we let u=V 25 – x2 , then udu = - xdx. A True B False

A: On solving this we will get

Q: #13-Find the cost function for the morginad cost fixed cost of $6000 (for x -0) O** 70 X*-80 and

A: cost function = ∫ (dc/dx)dx cost function = ∫ x2/70 + 80dx cost function = x3/210 + 80x + k lets put…

Q: x +1 8. J x(x+ 4)3 dx

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Q: Make a complete graph of the following function on the given interval. Use a graphing utility to…

A: f(x)=x-3cosx on -2π,2π

Q: x2 dx Using trigonometric substitution, the integral 2 x²– 4 is equivalent to x12 (A 4 sec20 tano do…

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Q: - A ladder of length 17 feet is leaning against a wall. The base of the ladder is moving away from…

A: Given query is to find the rate of change of angle.

Q: Use the compound interest formula to find the account balance A, where P is principal, r is interest…

A: Principal =$140000 Rate=4.5% Compounded =annually  Time=20.

Q: To begin evaluating sin*x cos°x dx , express A cos x to (cos?x)cosx and use the identity cos?x=1-…

A: We have to use option (A) cos^5x to (cos^2x) ^2

Q: Find the radius of convergence and interval of convergencE of the power series. (2х — 1)" 26. E 5"…

A: Use ratio test for checking the radius of convergence  and interval of convergence .

Q: ) = (";')-G".) Show that: r-1,

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Q: b. g (x) 2.

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

Q: Question 6 To begin evaluating J sintrecor^rdx comvenienty, express: sin'x as (sin²x) ²and use the…

A: Here we put cos^5x as (cos^2x)^2 cos x and then  Use the identity cos^2x=1-sin^2x.

Q: Find the area enclosed by the given parametric curve and the x-axis. x = 5 sin(t), y = sin(t)…

A: To find the area between the parametric curves

Q: Evaluate the line integral, where C is the given curve.   z2 dx + x2 dy + y2 dz,   C C is the line…

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Q: 2. Set up the integral to calculate the area between the curves | (f(x)-g(x)) dx f(x) = x²+2x+1 А.…

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Q: To evaluate y-csc²(y³) cor²(y³)dy, we let u =csc(y³) (A) True B) False

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Q: The form of decomposing a single irreducible quadratic factor in agiven inteeral is / (2ax+b)A+B dx.…

A: To write that it is true or false.

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: Knowin that "first image" is iqual to zero for any natural number 0<= m < n .   Determine the sum…

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Q: The x2-4 dx can only be evaluated using trigonometric substitution technique. A True False

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Q: f(x) = x* - 2x? ... Choose the correct graph below. O A. В. C. D. Ay 10- -40

A: Given query is to find the graph is the function.

Q: Evaluate the line integral, where C is the given space curve.     Cxyeyz dy,   C: x = 4t,  y = 4t2,…

A: Firstly change the given line integral in terms of 't' and then solve.

Q: Insec2 (sin2y) Which of the following is one of the correct steps to evaluate the sec2y A None (B In…

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Q: Problem 2: Use trigonometric substitution to show that 1 dx becomes x?Vx? +4 X x´+4 +C 4х

A: Use trigonometric substitution method for solving such integral

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

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Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = 4x -…

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Q: Determine if the following series is convergent or divergent: 8 n=1 3n2 + 4n + 5 O Convergent O…

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Q: Question 15 If h(x): cosxdx and h =4, then h(0) is equal to A B) None -4 D. -3 E

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Q: Question 16 Which of the following is one of the correct/convenient steps to evaluate -+dx which…

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Q: Problem 3. The softplus function is given by A2) = log(1 + e) A) Plot ſ(2) as a function of z. If…

A: (1) solution