-4x⁹. sin(x) (1+x²)² dx=0

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.

Q: 1. d²y dt2 dy + 6- +8y=2e-3t dt 2. d²y dy +4 dt² dt +13y = e-t 3. d²y dy +7 +10y=e-2t dt2 dt

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Q: If an object is dropped from a 150-foot-high building, its position (in feet above the ground) is…

A: Negative sign of the velocity is due to the downward movement of the body.

Q: ورد ه ی

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Q: Calculate the inverse Laplace of: (s-1)e-2 s²+8s +13 ^{²

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Q: 2. f x cos² x dx

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Q: In Exercises 1 and 2, compute the solution of the given IVP. 1. d²y dt2 +9y2 cos(3), 2 cos(3t),…

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: =f and g are continuous on [a,b], then [*[f(x) + g(x)]dx = f(x) [ √° g(x) f(x)dx+ Sº g(x)dx (A) True…

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Q: please show step by step solution on how to get the circled part with complete explanation. do this…

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Q: 92%/ the first three terms in the malam Series of the funtion. f(x) = cos 22

A: We have to find the first three terms of the series.

Q: Given f(x,y) = ex cos y, Evaluate fx(0,2) O e² 00 O cos 2 O-sin 2 M

A: We have to find the derivative

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

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Q: f(4)(x) an f(³)(x) = √√√x, f(4) (x) 6 7(6√x) X

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Q: 4. fx(1-x) dx

A: We can find the integration as below.

Q: Use implicit differentiation to determine dy dx = dy dx given the equation x² + y5 = 3.

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

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Q: 2 Find all local extreme values of f(x) x³ + 11x²56x + 30. = 3 The FIRST local extreme value, moving…

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Q: Find the determinant of A) -10 B) 0 C) 14 (D) 10 1 3 [42]

A: We can find the determinant as below

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: 3: Fill in the blanks in the following: 1 3. 4. If = (-12, 4, 8) the position vector of u…

A: Topic:-  vector algebra

Q: Suppose that ƒ is continuous and F(x) = g> 0, g'>0 and integrable on [a, b) and that lim g(x) = I-b-…

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Q: 2. Evaluate the following double integral by first reversing the order of integration. (6x-y) dx dy.

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

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Q: Show that for all n € N, one has 1 2√n+1 <√n+1-√n<; 2√ñ

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Q: Which of the following is not true? ,5 Ⓒ √√² 25²x x² = 11m -√² 25-4x2² dx dx A lim o c+5-0 3 3 dx dx…

A: We have to find out the option

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: Iff is continuous on [a,b], then rtf(x) dx = π f(x) dx 1 A True B) False

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Q: ²) S₁₂ x ² √ x²+1 dx St 2)

A: The given integral is; I=∫07xx2+13dx   ....(1) As we know the Power Rule: ∫xndx=xn+1n+1+C

Q: 1.) lim f(x) = X→-7+ 3.) f(3) = 5.) f(0) = 7.) lim f(x) = x→0+ 9.) lim f(x) = X→3+ 2.) lim f(x) =…

A: The objective is to determine the limit if it exist.

Q: Sx√x + 1dx

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Q: A ladder 20 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: Question 38 What integration technique can be used to integrate: (A) Power Formula Integration By…

A: Here we have to determine the integration technique to solve the given integration. =∫5dx3+x2

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

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Q: Use the given information to find f '(2). g(2) = 3 and g'(2) = -2 h(2) = -1 and h'(2) = 5 g(x) h(x)…

A: Given, g(2)=3 , g'(2)=-2, h(2)=-1 , h'(2)=5, f(x)=g(x)h(x)

Q: (2) Solve for all values of x over the interval [0,27]: 2sin(x) = sin(2x)

A: Topic = Trigonometry

Q: 11) Suppose that B, (fix) be the Bernsten polynomial. Then ((B₂B)(t.:x) = (b) x (c) x² (d) No Answer…

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Q: Function Point f(x) = tan² x 4 (a) Find an equation of the tangent line to the graph of -4x-T+1 X…

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Q: dy dx 11 1 + x-F y.x +5

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Q: Question R is the region bounded by the functions f(x) = + 1 and g(x) = - +7 over the interval [a,…

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Q: Find the area bounded by y=-x²+1, y = − 2x + 2, x=-2, and y=2. (A) 5 B) 16/3 C) 1/3 (D) None of…

A: We can find the area as below.

Q: Evaluate (x+2√Y) ds where C is given in the accompanying figure. (x+2√y) ds =D (Type an exact…

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Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

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Q: Find the augmented matrix for the following system of linear equations. 6x₁ + 8x3 = -8 5x₁7x2 + x3 =…

A: Given system, 6x1+8x3= -8 5x1-7x2+x3= -3 9x1+8x2-3x3=7

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: Find lim n→∞ n + cos(x) Jo ne + sin(x) So -dr.

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Q: Which of the following is not true? A) None of the given choices 4dx B So lim o √x(x+6) 0 3 3 dx dx…

A: Option E is not correct .

Q: If = (-12,4,8) the position vector of u is.............

A: We know that if a=&lt;x,y,z&gt; then its position vector is a=xi+yj+zk.

Q: Iff is continuous on [a,b], and f(x) 20 then A True False ر VFX √f(x) dx = dx = √5 F(x f(x) dx

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

A: We have to find the series coverges

Q: 3.§ sin* 2 x sin 4 xdx

A: