integrate * Se³x+2 dx 2017 O +C d (2) 200 (14(14(1))) STOPISTOP!

Q: 4. (a) Find (b) Hence evaluate d dx √1+x² X S (1+x²)³/2 dx.

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A: The given function,  f(x)=4xe-9x

Q: 3 2. Find the area bounded by the two curves y = x³- 6x² + 8x and y = x² - 4x.

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Q: dx Consider S= using rationalizing substitution. x1/2 + x2/3 Find the integrand in terms of z. A…

A: find out the integrand in terms of z.

Q: Problem. Suppose you are having a dinner party for a large group of people, and you decide to make 2…

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Q: Volume about x = -1, y = √x, y = 1 (248/9) π cu units (1372/9) π cu units (26/3) π cu units (23/14)…

A: Volume

Q: Consider the following differential equation: dy : 2xy² dx i. Use the method of separation of…

A: using method of separation

Q: Find the sum of the geometric series below: 5 5 5 + + 5+ + 3 9 2187 49200 A 6561 5465

A: Topic:- sequence and series

Q: 1. x3y2 + xy3 = 2x2

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Q: R(t) = [(el-1, 1-², In (2-1) In(2-t)), (t,0, t - 1), if -1 < t <1 if t ≥ 1.

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Q: Given the hyperbola 2² - 4y² + 2x +32y-27= 0. Find the vertices of the hyperbola. O a. NONE OF THESE…

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Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A: Use volume of solid of revolution formula for finding the volume

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Q: Which ONE of the following statements is FALSE? OA. If f(x,y) has a saddle point at (a,b) the…

A: Maxima and minima

Q: x²-1 3. f(x) = -1;ƒ' (1) 2x+1

A: Solution is given below:

Q: The volume of solid of revolution when rotated along x - axis is given as A ny²dx a B Sny²dy a c…

A: We can find the solution to the given problem by using the disk method.

Q: The deer population of a national park has a natural growth rate of 4% per year. Each year the…

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Q: -1 33x So 43x dx 0 O 0.6698 0.6670 O 0.6699 0.6671

A: Solving the definite integral by using substitution.

Q: ocery owner raises the prices of his goods by 10%. Then he starts his Christmas sale ffering the…

A: Given query is to find discount percentage.

Q: Find of, af , for f(x, y) = log₂ (3г² - +y)

A: Solution of given question is written in below steps.

Q: The volume generated when the region bounded by y = x, y = 1, x = 0 is rotated about x axis is -

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Q: fx,> 8 and x n+1 2 for n EN. Then the limit of x is equal to X 21 ......

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Q: Find fy for the function f (x, y) = yx³ – 2x²y³ y - y³ x³ - 6x²y² Option 3 y - 6xy² 3 _ 2xy® -…

A: Topic:- application of derivatives

Q: Evaluate z' if z = [1 + (x² − 1)³] ²³ O a. 2(2²-1)² (1+(2²_1)²³) i O b. none of these О с 41(2²-1)²…

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Q: X 4e² Evaluate Sv dx 2 Use rationalizing substitution. A e√ex - 2 = 2√2 Arctan 1/2 √et et - 2 + C…

A: We have to find value of given Integral.

Q: iven u=[3,-4, 5] and v=[ 8, 15, -17]. Find (a) u dot product v (b) v dot product u (c) u cross…

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Q: A force of 3.0 pounds is needed to stretch the spring to 1.0 ft. from its natural length of 10…

A: Given problem:- A force of 3.0 pounds is needed to stretch the spring to 1.0 ft. from its natural…

Q: Evaluate the given limit of the following: z¹-z²-2z+2 lim Z-1 28-2z¹+1

A: Let's evaluate given limit.

Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a vertical element, the total…

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Q: Determine the area bounded by the curves x³ - y = 0 and y + 3x² - 4 = 0, using a vertical element. A…

A: Using vertical element form a double integral then solve it

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Q: To determine the area of the region bounded by x = y²-y-6 and x = 2y +4 first we have to calculate…

A: Given that curve x=y2-y-6 and                x=2y+4Solution :we have to find limits of the graph the…

Q: 5. f(x) = x²(3x + 2)³; f'(-2)

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Q: 2 Consider the vector-valued function R(t) with Ả'(t) = (sec²(t – 1), √t' (a) Find R(t) given Ả(1) =…

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Q: Use the second curve fitting criterion to minimize the sum of absolute deviations for the model y =…

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Q: find the surface area of the portion of the curve x²+y²=4 from x=0 to x=2 when it is revolved about…

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Q: Suppose the graph of y = f(z) is given. The graph of y=f(z) can be found by: O A reflection across…

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Q: Which ONE of the following statements is FALSE? OA. If the function f (x,y) is maximum at the point…

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Q: Given the function f(x, y, z) = x ln(1 − z) + following and simplify your answers. a) | fx b) u fxz…

A: We can answer both the answer as below

Q: Consider the vector-valued function R(t) with Ả'(t) = (sec²(t − 1), - 2 Vt (a) Find R(t) given R(1)…

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Q: Find the area bounded by x² = 4y + 4 and x = y - 2. Using vertical element, what is the integral…

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Q: Using Simpson's method [x³dx for n = 6 is equal to Blank 1 (use 2 decimal places with proper…

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Q: Evaluate S tex dx 2 Use rationalizing substitution. - 8

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Q: TYPEWRITTEN ONLY PLEASE. ILL UPVOTE ONLY IF TYPEWRITTEN, COMPLETE, AND CORRECT. DONT ANSWER IF YOU…

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Q: Hwy find the integration 3 Se vadv V 1-

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Q: Set up the integral representing the area of the region between the curves = -1, x = 4, y = 2x - x²,…

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Q: The function f(x) = −2x³ + 3x² + 36x has two critical points, c₁ and c₂. Find them and use the…

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Q: Find dy dx : y = arctan 2+1 x-1 at x = 1

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Q: Find the measure of an angle between 0 and 2 π that is coterminal with m(0) = 7 T A 4 B D TT 4 5 f 4…

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