If 2x²+x+1 S (x-1)(x+1)(x-2) A -2 B None 11 3 U D E - 3 11 3 A SA -dx = B + x-1 x+1 x-2 с -+ dx, then the value of C is equal to

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A: Solution:

Q: Convert the Cartesian coordinate (-1,-3) to polar coordinates, 0≤ 0 0 r = 0 =

A:

Q: Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: Find the equation of tangent line and normal line to the curve y=2x-1 at x = 5.

Q: If you evaluate the integral expression S 4x +3|dx the result is Blank 1 (use fraction or decimal in…

A: The integration of the integral is |4x+3| limit from -1 to 1.

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A: Given that parametric curve H defined by x(t) = tan-1t       and    y(t) = e4t , t ∈R           we…

Q: 4. Find the limit, if it exists. If the limit does not exist, explain why. 3x²+4-4 (a) lim x2x² - X…

A:

Q: If 10 ["f(x) dx = 17 and A True B) False f'se f(x) dx = 12, then 10 f(x) dx=5

A:

Q: Using Trapezoidal method √x dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

A: We have to find the value of the integration ∫01x dx  with n=4  using trapezoidal method. From…

Q: 2x²+x-2 (x + 1) (x²+1) dx = √ [+41 + x+ 2 If S A B 5 © €/ 5 D 4 E) None 5/2 B (2x) + C 1 x²+1 dx,…

A:

Q: Using Simpson's method 2 So dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

A: As we know from the Simpson's Rule: ∫abfxdx=∆x3fx0+4fx1+2fx2+4fx3+2fx4+...+4fxn-3+2fxn-2+4fxn-1+fxn…

Q: 15 which of the following rule defines y as a function of X? Y = √x 16 which of the following rule…

A: Let's solve.

Q: Find the volume of the solid obtained by rotating the region bounded by y = −10+ 6x - x², x = 1 and…

A:

Q: 9. ydx - 4xdy = y'dy; y(4) = 1 Ans: -y²=

A:

Q: [ f(x) dx = -4 and f (x) da = 10, which of the following is NOT TRUE If f(x) dx = 3 then [₁ f (x)…

A: We can check the false option as below.

Q: Which of the following is not true? A √ in(x²) dx = lim_ sin(x²) dx 3 3 dx dx Ⓒ 1² B In(x²) - = lim…

A: Solution is done in step 2

Q: Given than f(x) f²f(x) dx = −4 and Ⓒ [ƒ (2) de- f (x) dx = 20 (A) f dx [ B [²] ƒ (x) dx − [ª* ³ƒ (x)…

A: To find out the option which is not correct.

Q: A B D 0 Consider the integral f sin ¹x dx. If we let u = sin ¹x and dv = dx, the integral can be…

A: We have to above question

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A: Answer is given in next step.

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A: Given problem:- Find the complete solution of dsdt = 5t4√s

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Q: In evaluating 5 dx , is same as evaluating_lim_(in(f(x))). Determine the value of f(x) if x=4.6. -

A:

Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

A: The population of a town is decreasing at a rate proportional to its size.In 1980, the population…

Q: Find the transition points. f(x) = = x(5 - x)¹/3 (Use symbolic notation and fractions where needed.…

A:

Q: What substitution should be used to solve the integral O sinu=3x/2 O sec u =2x/3 O sec u =3x/2 O tan…

A:

Q: B.) For numbers 1 to 10: Determine if limit of each function exist using the piece-w below x-3 if x…

A: Topic = Limits As per guidelines , At a time onlt three sub-parts of  question can be answered.…

Q: What is the domain of each part of the piecewise-defined function? (Enter your answers using…

A: Given that fx=-1.95x+25.90.535x2-1.58x+6.2Solution :Intersection point of piecewise-defined function…

Q: The rational expression A TRUE B FALSE 1 (9x² +16)² can still be decomposed.

A: this can not be decomposed. This statement is false.

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A:

Q: Using Trapezoidal method spaces) (x+2)² dx for n=4 is equal to Blank 1 (use 2 decimal places with…

A: Using trapezoidal method, integration value is evaluated.

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A: We have to find symbol of antidifferentiation.

Q: 5. fx √x + 1dx

A:

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A:

Q: Find the transition points. y = 4x7 - 56x6 (Use symbolic notation and fractions where needed. Give…

A: Given that y=4x7-56x6Solution :if we find critical point then f'=0 and f' does not…

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A:

Q: 1f S₁ (x+5) dx = Sº (x+5) dx = 14, then the value of b is equal to If A) None B 3 с 4 D -3 E 2

A: We have to find the value of b.

Q: Find the derivative of sin In x O sin(Inx)/x O cos(Inx)/x O cos(1/x) O sin (1/x)

A:

Q: If you evaluate the integral expression Blank 1 Add your answer 12x + 1 dx the result is Blank 1…

A:

Q: Question 1 Iff and g are continuous on [a,b] and f(x) ≥ g(x) for all x € [a,b], then [f(x)dxz g(x)dx…

A:

Q: Iff is continuous on [a,b], then (A) True B) False b b xf(x) dx = x f(x) dx a a

A: In this question, we want to know whether the given statement is true or false.

Q: Evaluate the definite integral number 3 using substitution

A:

Q: 4 35₂² In evaluating 2 dx x√√x²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x)…

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Q: Given f(x,y) = ex cos y, Evaluate fy(0,2) Oe2 0 0 O cos 2 O-sin 2

A: The given function is: fx,y=excosy   As we know that; The common derivative; ddxcosx=-sinx And…

Q: 11 lim 348 n=0 tan ²¹ (-1) + tan²¹²¹ (1) - tan¹ (2n+1) - tan²¹ (2n + 3)] ??

A: To explain the circled part.

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A: Given, f(x)=x24(1-x)

Q: Which of the following is not true? A √ in(x²) dx = lim_²in(x²) dx А ₂3 3 dx dx B S²³² √₁ In(x²)…

A: Just use the definition of improper integral of first and second kind and find the required…

Q: II. Find the sum of the following convergent series. lim = = = lim lim 0-2 1 [tan ² (2n-1) - tan²¹…

A: Given problem:-

Q: Using Trapezoidal method proper rounding off).64 √√x dx for n=4 is equal to Blank 1 (use 2 decimal…

A:

Q: pair of parametr quations is given. x = e4t y = et (a) Sketch the curve represented by the…

A:

Q: ,1 x² - 4x⁹+ A) True B False sin(x) (1+x²)² |dx=0

A:

Q: Let z(t) = 5 cos(t) and y(t) = 3.sin(t) All answers should be decimals rounded to 2 decimal places.…

A: Given that,   xt=5.cost and yt=3.sint