10 -dx may be writen as Ala secB" + tanB"| + C where A, B, and C are constants not equal to zero. Evaluate the value of A- +B cos10' O 15 20 -20

Q: Which of the following is an improper integral? dx 2 2r+8 B -4 x2-x-2 -1 xe Cos (x)dx -2

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Q: What is the integrable form of dr? 1 -1) du -u?) 2 du 2022-01..

A: Find the integrable form by substitution method

Q: 4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 - 3y2, and the plan...

A: We have to find volume. 

Q: e ln (a le) – sec²r) sec(3A – x) sec'x What should be the value of A for to be integrable using the ...

A: The given integral is (2-sec2x)eln(π/e)sec3x/sec(3A-x).

Q: Find the area of the region bounded by the curve y=1- 2 and the x-axis. A) 4 square units 6 square u...

A: We have,

Q: 10* -dx may be written as AlnlsecB*+ tanB* +C• where A, B, and C are constants not equal to zero. Ev...

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Q: dx Evaluate 3x – 12 O 1 O + 00 8

A: To evaluate the integral.

Q: Find the area of the region bounded by the curve y=1–÷x² and the x-axis. 9 A 4 square units (B 6 squ...

A: SOLUTION-

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?, where k is a positi...

A: Given query is to find the value of speed 

Q: Question 16 4 dx Evaluate Зх — 12 A - 00 B 1 00 D

A: We have to find solution

Q: Find the area of the region bounded by the curve y=1--x² and the x-axis. 9 6 square units 4 square u...

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Q: 25. For the function f(x) = 45x3 - 3x5, determine the interval(s) for which f(x) decreases. O (3, 3)...

A: We will solve this question by  differentiating f(x) and then finding the intervals for which the fu...

Q: d?y Find the equation of the curve for which dx2 - =6-9x and which passes through the points (0, -1)...

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Q: x2 and the x-axis. 9. Find the area of the region bounded by the curve y=1- - A 8 sq. units 6 sq. un...

A: The given question has been solved in detail and option D is the correct answer

Q: The slope of the tangent line at any point (x, y) on a curve is 2A If the point (9, 3) is on the cur...

A: we can obtain the equation of curve by forming a differential equation . we know that the slope of t...

Q: Determine the speed along a parameterized path c(t) (t4, e') at timet = 0 (assume units of meters an...

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Q: Which of the following integrals is equal to the integral / s(3x- 5) dr? S' f(2) dz (2) dz 7/3 s(2) ...

A: By method of substitution, we need to evaluate :  

Q: Which of the following integrals is equal to (3x-5) dr if u=3x-7? (A (u+2) du 8/3 -2 -1 / (u-2) du 3...

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Q: If F(X) is an antiderivative of x2 +x', then what is the value of F(1) - F-1)? (А) -2 В) -1 D) з

A: Given: F(x)=∫x-2+x-1dx So, by the Fundamenetal theorem of calculuas: F(1)-F(-1)=∫-11x-2+x-1dx Now, i...

Q: 2744 A computer is purchased for $2744. Its value in dollars after t years can be approximated by V(...

A: We will solve the first part of the problem bu putting t=3. And for second part we will derivate the...

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s2, where k is a positi...

A:

Q: The integral of the function below may be written as men sin(x) + px + qe"* + C. Where m,n, p,q,r an...

A: To find the value of m+n+p+q+r , we need to evaluate the given Integral then compare it with the giv...

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 21/2 square ...

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Q: cos2r- sin2x cos21 =-F(x)+C What is Fx)? =xp For COSX – sinư A 2. --cos 'x- cosT+-sin't 3 cos'x sinx...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: The resulting integral of sin-cos-sino de has the form -F(@) +C What should be the value of e to mak...

A: We know that integration of sinx is - cosx and we know that trigonometry relation is  Sin2x =  2sinx...

Q: sin-cos-sino de has the form - 2 The resulting integral of + C. What should be the value of 0 to mak...

A: To evaluate the integral ,use the following trigonometric formulas.

Q: 6 ]anc Given matrices A = 2 compute 2A + B. -2

A: In matrix addition, the addition of two matrices by adding the corresponding entries together. 

Q: Evaluate the flux integral F.S where S is the surface given by 22 = 1 + y, 0s z 5 4, oriented upward...

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Q: Find the area of the region bounded by the curve y=1-x2 and the x-axis. 6 square units 4 square unit...

A: Refer Attachment for solution.

Q: 10 dx may be written as Aln secB*+ tanB*+ C. where A, B, and C are constants not equal to zero. Eval...

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Q: Which of the following integrals is equal to the integral /f(3x – 5) dx? -2 7/3 / (:) dz -2 7/3 5. s...

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Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: The resulting integral of form --F(0) +C. de has the What should be the value of e to make F(@)=0?

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Q: sinx sinx +x Cosx - e + The integral dx may be written as nsinx те +px + qe* +C. where m, n, p, q, r...

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Q: The integral of (10*/ cos 10*)dx may be written as A In sec B* + tan B*|+ C. Where A, B, and C are c...

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Q: What type of solution(s) would you get from the equation below? 2x2 + 6x – 1 = 0 O 2 real solutions ...

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Q: Which of the following is an improper integral? dx A) 2x+8 2. In3e ® S* (в COSX dx -2 C) 4x² – x - 2...

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Q: d?y =6- 9x and which passes through the points (0, -1) dx2 Find the equation of the curve for which ...

A: Differential equations

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: The region bounded by y x2 + x 2 and y O is rotated about the x-axis. Find the volume of the resulti...

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Q: The antiderivative of f(x), denoted by Fx), exhibits an odd symmetry i.e., it satisfies the property...

A: we have to find the anti derivative .

Q: Find the area of the region bounded by the curve y^2 = 4x and the lines x = 1 and x = 4.

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Q: cosx - esinx The integral dr may be written as mensinx pr + ge+ C, where m, n, p, q, r, and C are co...

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Q: et What is the integrable form of dx? e* - e -X A) du B) du (c) и?—1) 2 du D [(1-u?) du

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Q: You go to the doctor and he gives you 11 milligrams of radioactive dye. After 24 minutes, 7 milligra...

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Q: 7h] = v(t) lim ( h >0 /h] = a(t) = lim [ h>0

A: Topic = Algebra

Q: Question 13 b x"+x"+C. What is the value of the sum a +b+d+m+n+p? a The general antiderivative of (3...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2,/x- If the point (9, 3) is on the ...

A:

Q: Which of the following is an improper integral? -4 x2 – x - 2 dx 2 2x + 8 | In(1+x*)dx -1 ~ In (3e )...

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Q: Find the area of the region bounded by the curve y=1-x2 and the x-axis. 9. 8 square units 6 square u...

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