x1/2 dx reduces to Using an appropriate algebraic substitution, the integral 1+x32 2y2 dy 1+y3 ys dy 1+y3 4y5 dy 1+y 2y2 dy 1+y

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

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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: %3D (2xy + y)dx + (x² + 2xy – y)dy = 0

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Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = x +7…

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Q: If h (x) = cosxdx and h =4, then h (0) is equal to

A: answer is in step 2

Q: Find the equation of the line passing through the points A(2,3) and B(-7,4) O a. 9y+x-29=0 O 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: 2. Create your own example of convergent series containing 5 terms. Explain what makes it…

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Q: 5. Describe the difference between the segments AB, BC, and CD. speed A BC D EFG time (t)

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Q: C) = ("; ')-(,".) ')-(,",) +: n . Show that : .r.

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Q: Σ (-1)"+1 n³+1 n=0

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Q: Which of the following will yield an inverse trigonometric function e2* dx A 4+e2r ydy B -16 wdw 25-…

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Q: Graph f(x) = e +2. Choose the correct graph. OA. Ay 4- OB. Ay OD. Ay Oc. Ay o 包

A: We need to choose correct graph.

Q: Find 2u, -3v, u+v, and 3u-4v for the given vectors u and v. Simplify your answers completely. u =…

A: Finding the given operations.

Q: Suppose that $83,000 is invested at 3-% interest, compounded quarterly. a) Find the function for the…

A: $83,000 is invested at 312% interest, compounded quartely

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: TT sin 5. Approximate dx by Simpson's rule with seventh ordinates?

A: Simpson's Rule:    ∫abf(x)dx=∆x3f(x0)+4f(x1)+2f(x2)+...+2f(xn-2)+4(fn-1)+f(xn) Where, ∆x=b-an We…

Q: In a triangle, assume angle A is opposite side a, angle B is opposite side b, and angle C is…

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Q: Find the Taylor series generated by (a) f (x) = 2x at x =1 ( b ) f (x) = 2x3 + x2 +3x-8 at x =1

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Q: Find the critical numbers of the function. y- 2 g(y) = %3D y2 - 2y + 4

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Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

A: We have to find the critical and extremum points of the function.

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

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Q: (3x2+ 8x - 12)dx In the complete factored form of the denominator is x(x+4) (x+3). x3+ 7x2+ 12x A…

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Q: 0.5 x° tan- (x2) dx –1

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Q: 3. .

A:

Q: sin'x cosx dx Evaluate: (1- sinx)2(1+ sinx) 2 sinx sin 10x - +C 10 A) 8 (B None sin 10x +C 10 (D)…

A: ∫un du = un+1n+1 +C

Q: sing reciprocal substitution *= the integral - dx reduces t I dz -1) 13 -dz (z?– 1) 1/3 zp- D dz

A:

Q: x[cosh?(2x²) – sinh²(2r²) ]dx is equal to A xdx B xdx x²dx D None E dx

A: To find the given integral is equivalent to which integral.

Q: Evaluate: Jcos 2xdx cos2x cos32х + C 6 A 2 sin2x sin32x + C 6 B 2

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

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Q: sec? ede 2. tan' 0+9 tan e

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Q: The area of a circle increases at a rate of 6 cm /s. a. How fast is the radius changing when the…

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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: Find an equation of the inverse relation. x=y² - - 7y Choose the correct equation below. O B. y=x -7…

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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: The New River Gorge Bridge is 880 feet above the water below. A bottle rocket is launched upward off…

A: To find out the velocity and acceleration.

Q: dx - is 2/x - Sin| x +s|+c. Vx +5 The antiderivativeof - A) True B False

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Q: 2. Find the unit vector in the direction of

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Q: S. | sech (Insinx) cotxdx=2tan - (sinx) + C

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Q: sin?u In tan"udu, where m is any positive integer, we use the transformation for tan?u= cos?u A True…

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

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: The marginal cost (in dollars per square foot) of installing x square feet of kitchen countertop is…

A: Here we will find asked quantities,

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 y-intercept of the line 2x+3y-6=0 as a point O a. None O b. (0,2) O c. (2,3) O d. (0,3)

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Q: The data is known as follows: 7 4 5 P(x) | 48 | 100 294 900 | 1210 | 2028 10 | 11 13 Using Newton's…

A: We need to apply Newton's divide difference interpolation.

Q: Consider the following curve. y = x, 0sxs 3 Set up an integral in terms of x that can be used to…

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Q: Find the equation of a plane that is perpendicular to the vector 4i+4j−3k and passing through the…

A: On solving this we will get

Q: A camera is set up at the starting line of a drag race 60 ft from a dragster at the starting line…

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

A: