[²(x². x7-4x⁹+ (A) True B) False sin(x) (1+x²)² dx=0

Q: Question 32 What integration technique can be used to integrate: A Trigonometric Substitution B)…

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Q: Differentiate f(x) = tan¯¹(3x). Use exact values. f'(x) =

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Q: x² +2 (x-2)(x² - 2x+2) dx S U 2-2x 3 (√(√72²2²2²X + 2 + x ³₂ ) dx

A: ∫ x2+2x-2x2-2x+2dx

Q: Solve the differential equation: sin y (x+siny)dx+2x2cosydy=0

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Q: Use Figure 1 to evaluate each trigonometric function of angle AA. The side adjacent to angle AA has…

A: Given; The side adjacent to angle A has length 4 and the side opposite angle A has length 14.

Q: Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if one…

A: We need to find dimension of rectangle.

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: (1+x3)dy−x2ydx=0; y(1)=2

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Q: Q1:Discussion a continuity of the function f(x, y) at the point (0,0), where ey sinx f(x, y) = X (x,…

A: We want to check the continuity of the function at (0,0)

Q: In evaluating S₂²² 2 dx 2 XV x²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x)…

A: We have to find the value of f(x) at given x.

Q: All continuous functions have antiderivatives. (A) True (B) False

A: all continuous functions have antiderivative.  But noncontinous function doesn't have. It's true

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

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Q: f(x)= log (x-2) f(2.1)= log(2.1-2)= log 0.1 = -1 X 2.1 5 8 10 15 15)- 20 25 (20) 164 13 (x, f(x))…

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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: -dx = 4 -2 X (A) True B) False m100

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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: 10. State whether the following series converge or diverge. Justify your answers. (b) Σ (# + gr)…

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Q: x $ (0.7-198) Consider the angle shown above measured (in radians) counterclockwise from an initial…

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Q: Derive the following function 3. y=x√x 4. y = ³√x + ³√x

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Q: SINE LAW * A civil engineer desires to measure the height of a tower observing a vertical angle at…

A: We need to use sine law.

Q: Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 4), and (2, 0).…

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

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

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: 7. fsins y cos' y dy

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Q: dx 15. S (x²+36) ³/2

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Q: 5. f sin x cos x dx

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Q: 2. f(x) = 3x4 +√4x; f" (1.2) 6

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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: 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: Find the absolute extrema of f on the given interval. (find the absolute maximum value and absolute…

A: Given, x2+ 4x+2, [-3,0]

Q: Find the derivative of Ox²2cosx + 2xsin x O 2xcos x O x² sin x + 2xcos x O x2cosx y=x²sinx

A: We know that if f(x)=g(x)h(x) then  f'(x)=g'(x)h(x)+g(x)h'(x)

Q: y = sin² (3x)

A: Topic = Derivative

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

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

A: We will find the solution.

Q: The position of an object moving along a line is given by the function s(t)= - 8t +72t. Find the…

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

A: We have to solve the integral

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

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Q: Find the slope of the tangent line to r²e³ + y²e² = 2e at (1,1).

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Q: 1. Jổ xdx xdx ull ch 2. √²2² (x²-x)dx 3. f2, xdx

A: We have to solve as per guidelines Solving by fundamental theorem of calculus

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

A: Topic = Sequence

Q: | dx= - 3 J A) True B) False m|m

A: Topic = Integration FALSE

Q: Can you write it in a paper? I don't understand

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Q: fx cos 2x dx

A: Let's solve given integration.

Q: 2 [² fo Given f(x,y) = x²y-3xy³. Evaluate fdy

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

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Q: 9. f(x³ - 4x)dx -3 (x²-1) dx 10. ₂

A: We have to find the integral

Q: Find a system of linear equations corresponding to the augmented matrix. 505 65-5 069 x₁ + i x1+ X₁+…

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Q: 2 ( - 12/² + 1) In X 11) lim

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Q: 4. 53-10x dx

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the area of the surface obtained by rotating the line y the point (8, 158) to the point (17,…

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