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) dx = 22 3f C) None of the given choices D [ f (x) dx = 6 (E) If f (a) da = 10. which of the following is NOT TRUE f(x) dx = 3 then [ ƒ (x) dx = 3

Q: In pair, study and find the integral of the following functions. You will be awarded marks for each…

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Q: a. The object's velocity after 5 seconds is (Round to the nearest tenth as needed.) m/sec.

A: We have to find the velocity after 5 sec

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A:

Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

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Q: cos(x3 (A) True B) False dx=0

A: Here, x6cosx3 is an even function. So, ∫-11 x6cosx3dx≠0.

Q: 7. f sec5 2 t dt

A: We can solve the integration as below

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A: The region R is bounded by the functions fx=-4x and gx=4x7-327

Q: Arrange the choices in order 1,2,3.. to prove: For any sets A, B and C x (BU C) = (A x B) U (A x C),…

A: Here we have to arrange the option.

Q: Which of the following functions have a 4th derivative different from itself? 0x4 ex sin x COS X

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Q: g(x) = 3 ln(x - 2)

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Q: 9. f(x³ - 4x)dx -3 (x²-1) dx 10. ₂

A: We have to find the integral

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A: The equation of the curve is given by y = 19x+6 To evaluate: The area of the surface obtained by…

Q: 4. Find the area bounded by the given curves:y² = x + 4, x - 2y + 1 = 0

A: Answer is given in next step.

Q: Find the general soultion of the follwoing equations dy cos x + y = cos²x, 15

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

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Q: Find the complete solution of e sinx- - Note: fe" du = e" + C dy cos² x=0. dx

A: e-y sin x-dydx cos2 x=0⇒dydx cos2 x=e-y sin x⇒ey dy=sin x cos2 x dx⇒ey dy=sin x cos x·1 cos x dx⇒ey…

Q: [²₂1 (²) Given than [ f(x) dx = 3 Ⓒ ® B Lof(² f (x) dx = = [₁, ƒ (² f (x) dx - f (x) dr 1₁° dx -2 3…

A: Given

Q: Find the absolute extrema of f(x) = x³ - 6x - 1 on the interval [-2,3].

A:

Q: 1² ax +6 cos(x³) (A) True B) False |dx=0

A: Here, x6cosx3 is an even function. So, ∫-11 x6cosx3dx≠0

Q: Does the follewing finile & Series ooveryor dinerge E T $ (Inn) N-2

A:

Q: Let Ley) = y(4) + y (3) - 7y (2) _y (¹) + 6y al solue: Lys = 36t-24e² > " where = y (o)=y'(o) =y"…

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Q: Using Simpson's method √x³dx for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding…

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Q: Find the intercepts and the vertical asymptote of   f(x)=x2−6x−7/ x−8   Enter the intercepts as…

A: Topic:-  calculus

Q: y = log₂ (1+x²)

A:

Q: rk the critical points on the following graph. z2 - 14 70 56 42 28 14 3 4 5 " -4 -3 -2 -1 -14 -28…

A: Topic:- calculus

Q: (b) the curve x = = y²-y-6 and the line x = = 2y + 4;

A: Given; x=y^2-y-6, x=2y+4

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A: We have to find the dv

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Q: Q2: Find Maclaurin series for the function f(x) = (4-x) (four terms only), then find the error…

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Q: Given than •[²₁f (2) de = 7 and f (a) da = -5, which of the following is NOT TRUE 6 ® [₂ f(x) dx =…

A: We will solve the problem

Q: Find the area of the surface obtained by rotating the line y = 19x + 6 about the x - axis from the…

A: Area of surface is evaluated.

Q: S= x² +2 (x-2)(x²-2x+2) dx U 2-2x 3 (√(√² ²²2²X + 2 + x ²³ 2₂ ) dx X-2 2-2x

A: given ∫x2+2x-2x2-2x+2dx

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A: We need to find dimension of rectangle.

Q: let G={h: [0,1] approaches to R: h has an infinite number of derivatives). then G is a group under…

A: We need to find f inverse of (g) and show it is a coset of ker(f).

Q: Evaluate cos (1/4) places)

A: cos(x)  We know that, we have a power series for cosine function,  cos(x) = 1-x22!…

Q: If you evaluate the integral expression 12x-1|dx the result is Blank 1 (use fraction or decimal in 2…

A: Application of integration

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Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 32 cm to a length…

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Q: For the given function f(x,y)=x²y³+3x³y, find a flay O 2xy3+9x² y O 3x²y²+3x³ O 6xy²+9x² O 2+18xy

A: We have to define the derivative

Q: Evaluate the definite integral number 3 using substitution

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Q: 9. f √x³-1dx x

A: Given: I=∫x3-1xdx    ...1 As we know that; ∫11+x2dx=tan-1x+C

Q: Given the function y=f(x), y" is found to be negative over the interval (4,8), then over this…

A: Answer is given in next step.

Q: Q2/A/ Find the intervals on which the function f(x) = x² - 4x + 3 are increasing and the intervals…

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Q: All continuous functions are integrable. A) True B) False

A: Solution:

Q: √√²₂√12x+ 2x+1| dx the result is Blank 1 (use fraction or decimal in 2 decimal places, no spaces) -2…

A: Solution:

Q: 3. Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: As per the company guidelines we are supposed to answer only first question. Kindly repost the other…

Q: State the domain, vertical asymptote, and end behavior of the function.   g(x)=ln(2x+12)+1.8…

A: Solution is here

Q: = Use the Riemann's Criterion for integrability to show that the function f(x) integrable on [0, b]…

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Q: ог Question A.) Does this CONVERGE • DIVERGE ? (~) ² M nal

A: To determine whether the given series converges or diverges.∑n=1∞ln n2n