dy Classify the DE: xdx +xy= A) Separable and Linear (B) Separable but not Linear Linear but not Separable (D) Homogeneous y

Q: Evaluate the integral: 1 A 6 B С 3 D HIM P 16 sin(3x)cos(3x) dx

A: Solve by integration

Q: Determine the integral: x²cosxdx x²sinx + 2xcosx-2sinx + C B x²sinx-2xcosx-2sinx + C с…

A: Here we have to determine the given integral.

Q: Which expression is equivalent to O cotx+sec x O cos x + cot a Otan x+sec x O sinx+tan x an £ ? cos…

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Q: Determine the integral: [x²cosxdx

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Q: the 2) Find the standard deviation of sample. population 2, 4, 7, 12, 15 Find the variance for the…

A: We have to find the variance and standard deviation.

Q: Evaluate the double integral: A B C D m 100 +10 9|N NIG 4 S** 2ydydx 1

A: A detailed solution is given below.

Q: For the given cost function C(x) = 72900 + 800x + x², First, find the average cost function. Use it…

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Q: Which of the following can be determined given f(x) dx = 5, g(x) dx = 7, and Sh(x) dx = -5 3 A √…

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Q: Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…

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Q: In the indefinite Integral in(cosh x + e*)- A In(cosh x + e*) B) sinh x + ex D In(cosh x + e*) sinh…

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Q: S ³f(x) dx = 5, ³g(x) dx = 7, and Which of the following can be determined given Ⓒ S (f(x) - g(x))…

A: We have to solve integral

Q: S √√9-x² dx using trigonometric substitution will lead to: **/2 cos²0d0 Evaluating Ⓒ 18/² A 95*1/2 B…

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Q: (x + 1) dx A (x + 2) (x− 1)² = √ [ +42 + 15 S B + x-1 C (x-1)² dx, the values of A & C respectively…

A: answer is in next step . please give a like !!!

Q: f f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

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Q: X+2 Determine the case of the following proper rational function after simplification: (x² – 4)(x³ –…

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Q: If f(x) = Α) B C D tanx sec ³x 1 + e tanx 1+tan²x 1+ e tanx sec²x 1+1² 1+e' -dt, then f'(x) equals…

A: We have to find derivative of given integral.

Q: Question 14 If [ _ ( x + 1) dx S A B C D (x+2)(x-1)² 2 . 93 -io 1 6.11 1 -- - 9 9 2 - - 3 - 3 2 - 3…

A: To find the value of A and C  in the given integral.

Q: Determine which of the given differentials is/are exact. In case it is exact, find the functions of…

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Q: Determine the area bounded by f(x) = x² — X and x-axis. 1 A -unit² B -unit² Ⓒunit² 2 Ⓒ -unit² 1

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Q: en 0 3 | f(x)dx=0 and. -1 S 11 11 5 55 6 f(x) dx = = 11 6 , evaluate 1 J 3f(x)dx - [2f(x)dx.

A: We will distribute the integral in two parts .

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: Which of the following can be determined given Ⓒx-d A (x) - )-g(x))dx (B S (4f(x) +9h(x))dx g(x)dx…

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Q: ₁₁³f(x)dx=5₁ g(x)dx=7, and 5, Which of the following can be determined given A [ (4f(x) + 9h(x) dx ®…

A: See the details solution in below

Q: y = x Arccsc (+)

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)=x²+2x+…

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Q: A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: Transforming A B C D dx using miscellaneous substitution will yield to secx + 1 2-2z² -dz 1+z² z²+z…

A: Here, the given integral is: I=∫dxsec…

Q: The improper integral A 1 B 0 C St edx is

A: To solve the improper integration.

Q: How many antiderivatives does a function of the form f(x)=x" have when n*0? A) none B) 1 infinitely…

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Q: Question 10 If a horizontal element is used to find the area bounded by y=√√x, x=4 and the x-axis,…

A: Horizontal element

Q: Evaluate the triple integral: A) 12 B) 24 C) 6 D) 18 3 2 (x+y+z)dydxdz

A: To evaluate the given triple integral.

Q: Use the formula for the sum of the first n terms of a geometric sequence to find the sum of the…

A: Given that the geometric sequence is 7,14,28,56,112,....

Q: Which of the following can be determined given f(x)dx=5, g(x)dx=7, and h(x)dx= -5 Ⓒ [²(f(x) + g(x) +…

A: Give∫13 f(x) dx = 5, ∫03g(x)dx=7, and ∫13h(x) dx = -5

Q: V = 8TT². Which is the correct expression for dV dr dh 16ПР- dt dt dV dr = 16Tr dt dt dV = dt dV dr…

A: Topic:- application of derivatives

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: If $S₁ A B (x+1) dx (x+2)(x−1)² 9 3 D -la 1 9 I -ja 2 3 2 93 12 93 ==√ [= ²4/2+1 B x-1 C (x-1)² ]dx…

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Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

A: Given g is a differentiable function and range of g is on the interval I and  F is antiderivative of…

Q: To evaluate the integral sin³0cosº0de by trigonometric transformation, we use the identity; 1- cos20…

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: dx Evaluate: √(x+1) log(x+1) A In 10 log² (x+1)+C 2 B In10 In[log(x+1)] + C C In[log(x+1)] + C In 10…

A: Evaluate ∫dxx+1logx+1

Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)=x+1. A unit² B D H|m -unit² 3 q…

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Q: Question 28 dx Evaluate: Tx (x+1)log(x+1) 1 A -log² (x+1)+C 2 1 ® --In 10 log² (x + 1) + C B 2 (C)…

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Q: Evaluate the integral: A B C D H|m 1 6 1 |ო 3 √ sin S 1 6 sin(3x)cos(3x) dx

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Q: (A) B (C) (D) **/2 18 [*/ ces **/2 cos²0d0 18 sin²0d0 cos²0d0 0 of the 0 **/2 $ cos²0d0

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Q: Which of the following can be determined O [ars) A (4f(x) + 9h(x) dx B [²³(f(x) + g(x) (f(x) + g(x)…

A: We have to find out

Q: dx xy+3x-y-3 dy xy-2x+4y-8

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Q: Evaluate the given definite integral [ 2x³ – 6x² dx, from x = 1 to x = 2 X²

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Q: I sin sin ³0cos Ode by trigonometric transformation, we use the identity; To evaluate the integral…

A: We have to slove integral

Q: [_²_f(x) dx = 0 and [ f(x)dx = 11₁ Given 6 A 0 B C D 11 5 11 6 55 6 evaluate 1 [²3f(x) dx - √₁2 f(x)…

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Q: Graph cach function using radians. 2. 1 - sin 29 - 1 2 0 0 0 یا

A: Please see the below picture for detailed solution.