Using Simpson's method x²dx for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding off, no spaces)

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: Suppose a population of fruit flies changes at a rate of g(t) = -4e0.041, in flies per day. If the…

A: Here we have a population of fruit flies that changes at a rate of g(t)=-4e0.04t…

Q: Derive the following function 8. y = tanh-1(sinx)

A: We have to find  the derivative

Q: (A) True B) False 3

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Q: y = ln √4x² (Hint: Apply first a property of LOG.)

A: Let's find first derivative.

Q: S x³ e ³x dx

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: topic - inverse trigonometric ratios

Q: Iff is continuous on [a,b], then [xf(x) dx = x = xf²f(x) A True B) False f(x) dx

A: We will solve the problem

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…

Q: ex = cosy

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

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Q: 3. Given that 2 = 6²¹ sin (u + ), e2v Use chain rule to find az/0x when x = 0, y = 0. u=e¹ - sin (y…

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Q: Find the determinant of the matrix. O-31 -4 67 7

A: det-46127Use deta  b c  d  = ad-bc=-4· 7-6·12=-31

Q: 2 a do (x + 2)²0 Using Simpson's method proper rounding off, no spaces) -dx for n=4 is equal to…

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Q: The current population of a certain bacteria is 2849 organisms. It is believed that bacteria's…

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Q: Q:2. Use the first derivative test to find the intervals on which the function is f(x) = x4. which…

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

A: if the first derivative of function is positive, then the function is increasing.

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

Q: A tumor is injected with 0.820.82 grams of Iodine-125. After 1 day, the amount of Iodine-125 has…

A: I have appended the formula used in the solution part of the question

Q: in cacn case. Q2. Find the exponential Fourier series for f(t) = {2 Fourier series. 0 < t < 1 1 < t…

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Q: 11.f (4x+5) dx √1-2x

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Q: Using Trapezoidal method Blank 1 0.34 2 So dx for n=4 is equal to 0.34 (use 2 decimal places with…

A: Given ∫012(x+2)2 dx To evaluate integral using Trapezoidal Rule:

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_12x+1|dx₁ |2x+1|dx the result is Blan

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

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Q: Which of the following is not true? Ⓒ √ 4dx √x(x+6) c lim dx ⒸS₁² 25² + x² ² m 25-x2 B dx c-5-0…

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Q: Question C.) - hit In n 231 n

A: We have to find the series coverges

Q: 4. fx√x - 3 dx

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Q: A landowner wishes to use 2 miles of fencing to enclose a rectangular region of maximum area. 1.…

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Q: 8. f₁(r + 1)²dr Hint: square first

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Q: A given partial fraction B can be evaluated as: A) 6/23 B) 7/35 C) 8/85 (D) 13/85 2x (x-1)(x+4)(x²…

A: Given, 2x(x-1)(x+4)(x2+1)=A(x-1)+B(x+4)+Cx+D(x2+1)

Q: Prove that the equation 3x² – 3x + 2 = 0 has a solution on interval [0; 1].

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Q: x6 cos(x³) |dx=0

A: Follow the procedure given below.

Q: 5 dx In evaluating 1 is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=5.91.…

A: ∫ 351x2-9dx

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

A: Given f(x,y)=x2y3+3x3y∂f∂x=∂∂xx2y3+3x3y

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

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Q: 2. Find the equation of the tangent lines and the normal lines to the curve y = 2x² +3 at the point…

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

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

A: using the simpson's method ∫01xdx for n=4.

Q: R is the region bounded by the functions f(x) = -7 and g(x) = -4x - 10 over the interval [a, b]…

A: We have to find the integral

Q: y = x^ (Hint: First take LN of both sides and use implicit differentiation.)

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Q: Question 19 Given f(x,y) = ex cos y, Evaluate fx(0,2) A) e² B 0 (C) -sin 2 D) cos 2

A: Topic = Derivative

Q: 9. f √x³-1dx x

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

Q: Find 12+ 17 +22+27+· ... + 1522 using a technique from this section.

A: Topic = Sequence

Q: -4x⁹. sin(x) (1+x²)² dx=0

A: Follow the procedure given below.

Q: Find the area bounded by y=√x and y=- ·x 2 (A) 4/3 B 2/3 C) 10/3 D) 5/3 E None of these

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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. -

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Q: - 2500q, what cost is incurred when marginal profit is $0? Given Cost and Revenue functions C(q)…

A: In this question, we need to find the cost when the marginal profit is $0.

Q: Evaluate √x² + x + 2 dx x²-1 x+1 In: +C (x-1)² 0₁ (x-1)² In- + C x+1 O x + 1 (x-1)² (x-1)² x+1 X+…

A: Solution is here

Q: xdx √2x-1 1.5.

A: