Sx√x + 1dx

Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

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Q: dx 1. S₁ √x+3 St 2. f2(x+1) dx -1 √√√x²+2x+4 3. f¹₁x²x³ dx 1 dx 4. S Vitsinx 3x 5. S₁ (x²+1)³ dx (a

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Given problem:- Find the volume of the solid generated by revolving the area bounded by the given…

Q: What integration technique can be used to integrate: (A) Integration Formulas (B) Integration By…

A: Option (d)

Q: Find the line integral along the given path C. f(x - y)dx, where C: x=t, y = 5t+7, for 0 st≤5 C √(x…

A: Topic:- application of integration

Q: The domain of f(x)=y=. x-1 x+2 is

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

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Q: n j=11 (j + 2)² = E first step 2nd step 3rd slep 4th slep final answer

A: The given summation,         ∑j=11nj+22

Q: A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of…

A: A bicycle with 24-inch diameter wheels is traveling at 16 mi/h.

Q: : Evaluate the following integrate: 1- S x²dx √√9-x² 2-[(2 + 5x)e³ dx

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Q: B. Graph each equation. 3. 3x²2y² - 12x + 12y = 12 4. x² + 2y² + 2x - 8y = -5

A: Graph of : 3x2 - 2y2 - 12x + 12y = 12

Q: Using Cramer's Rule to solve (if possible) the system of linear equations 1 A -10 1 B 11 N SSSUSU…

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Q: For the given function f(x,y)=x²y³+3x³y, find a flay

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

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Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A: The given problem is solved below in detail.

Q: A. Determine if p=i-3k and q = 61-3j-4k are parallel, orthogonal or neither.

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Q: If g'(6) = 6 and h'(6) = 19, find f'(6) for f(x) = f'(6)= (Simplify your answer.) () = g(x) + =…

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Q: test if (AB)¹ = B¹A¹ A = 4 1 0 2 L3 5. B = 14 0 2 - -3 1

A: To test if ABt=BtAt.A=410235, B=14-3021

Q: Problem 7 Ső S xvx² + 1 dx

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Q: Find the transition points. y = 3x7 - 42x6 (Use symbolic notation and fractions where needed. Give…

A: local maxima or minima

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

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Q: By using Interval Halving nethod, If the lies in the nterval [1,2], e=0.02the oot of the f(x)=x^2-3,…

A: Follow the procedure given below.

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: Reverse the order of the integration ² dy dx + 2 dy dx equal:

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Q: xdx √2x-1 1.5.

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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: 18. f (x+9)dx x²+6x+25

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

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Q: Find the transition points. f(x) = x(11-x)1/3 (Use symbolic notation and fractions where needed.…

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Q: 2. (y - x + xycot x) dx + xdy = 0

A: We have to solve the given differential equation.

Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: To find the minimum point of y=8x+4x-22.

Q: Q4:Evaluate 1) lim (1-²) x-0 \sin x

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Q: Question 29 In the quadratic equation Ax²+BX+C =0, describe the roots when B²-4AC is zero. (A) The…

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: Topic = Derivative

Q: a. Solve 2 cos(2x) = √2 for x

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Q: in the quadratic equation Ax²+BX+C =0, describe the roots when B²-4AC is negative. A The roots are…

A: As we know that; For the quadratic equation Ax2+Bx+C=0 (a). If D=B2-4AC>0,  the roots are real…

Q: Suppose that the bacteria in a colony can grow unchecked. If the colony bacteria starts with 2…

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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: Using Simpson's method ²x² dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

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Q: 1. Evaluate the integral using atrial fractions method: 3x² -dx (x − 1)(x² + x +1)

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Q: FCILICI. B. Find the general solution of the following 2nd order differential equation: y +2y + 2y =…

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Q: -0.5 3. f5 x(1-x)³ dx 0

A: To evaluate the given definite integral by using substitution rule.∫00.5x1-x3 dx

Q: Find the transition points. y = 3x7 - 42x6 (Use symbolic notation and fractions where needed. Give…

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

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Q: (a) Find the slope of the tangent line to the given polar curve at the point specified by the value…

A: We have to find the slope of the given polar curve at the point specified.

Q: 7. f sec5 2 t dt

A: We can solve the integration as below

Q: TICILNIC B. Find the general solution of the following 2nd order differential equation: y* +2y + 2y…

A: Topic:- differential equations

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: (1) (-³)) = the output value is the same as the input value. Composing a For sin (sin-1…

A: Composing of a trigonometric function with its inverse can be done in a lot of ways.    a)…