-5x² +11x+2 x(x+1)² dx 2ln|x| +3 In|x +1| + + + C x+1 Option 1 2ln|x| +3 In|x +1| +++ C Option 3 2ln|x] +3 In|x+1|-+ + C Option 2 2ln|x| +3 In|x +1|-+C Option 4 Other:

Q: Find the transition points. f(x) = x(17x)1/3 (Use symbolic notation and fractions where needed. Give…

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Q: Using Simpson's method √x³dx for n = 4 is equal to 4.00 (use 2 decimal places with proper rounding…

A: Given,  ∫02x3dx, n=4

Q: smaller x-value larger x-value (x, y) = (x, y) = X X

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Q: Evaluate the y' and Simplify the answers I Direct trigo functions y = x² sinx + 2xcosx - 2sinx

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Q: State the initial value theorem. Verify the theorem for the functions: (a) 3-4 sin t (b) (t-4)² and…

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Q: Find the transition points. y = 5x³ + 120x² (Use symbolic notation and fractions where needed. Give…

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Q: 8. Find the point on the graph y = x³ where the tangent line is perpendicular to the line 3x +9y = 4

A: We have to find the point where tangent line is perpendicular to the line 3x+9y=4.

Q: en fr f(x) dx = √² Iff and g are continuous on [a,b] and f(x) ≥ g(x) for all x € [a,b], then A True…

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Q: 3) Use L'Hopital's Rule to evaluate and check your answers numerically: sin x (a) lim x x→0+

A: We have to determine limit by useing l hospital rule

Q: The domain of the function f(x)=x+7/x-5 is all real numbers except x=5. Express the domain in…

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Q: Using Simpson's method x²dx for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding…

A: SOLUTION-

Q: How long did it take for an investment of $25,000 to grow to at least $28,000 at 2.75% compounded…

A: Given: A = $28000 P = $25000 r = 2.75% We know the quarterly compound interest formula as A=P1+r44t.…

Q: The rational expression A TRUE B FALSE 1 (9x² +16)² can still be decomposed.

A: this can not be decomposed. This statement is false.

Q: What monthly compounding nominal interest rate is earned on an investment that doubles in 10 years?…

A: We have to find the interest rate.

Q: Find the area bounded by y = x3 +6, y = x and y-6 www. -X.

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Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

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Q: 4. Evaluate the line integral along the path C given by x = 2t, y = 10t, where 0 ≤ t ≤ 1. I (a) √(x…

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Q: What integration technique can be used to integrate: O Integration Formulas O Trigonometric…

A: Ans=Trigonometric substitution  For detail...go through the solution....

Q: Find the area bounded by y³ = x² and x-axis, from x = 0 to x = 8.

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Q: Show that the function f(x, y) = e2x cos(3y) satisfies the partial differential equation 4f + fyr =…

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Q: Determine whether the given 3-tuple (6, -2, 2) is a solution of the linear system: 2x₁-4x2-x3 = 2 x₁…

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Q: Find the area of the parallelogram with vertices P₁, P2, P3, P4 P₁ = (1,3,3), P₂ = (1,2,2), P3 =…

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Q: Find f. f(t) = 5e¹ - 6 sin(t) — 5 f"(t) = 5et + 6 sin t, f(0) = 0, f(π) = X 0

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Q: If z is a function of r and y implicitly defined by dz Əz find and dr ду at (x, y, z) = (0, 2, -1).…

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Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely…

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Q: True or false Unlike the anglet in the trigonometric function cost, the t in the cosht represents an…

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Q: 2. Verify using the principle of Superposition that y₁ = ²* and y₂ = e* are solutions of y" - 7y'…

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Q: 2 2 2 Find the moment of inertia: x3 + y3 = a3 about x = = 0.

A: Let's find moment of intertia.

Q: 1) Find |R'(t)|, Make sure to simplify your answer 2) Find the distance traveled by a particle…

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Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂ : r = 2-2 sin (in red) and let R be the…

A: Let's solve. Two curves given r=3 and  r=2-2sin(theta).

Q: FIND THE AREA BOUNDED BY THE PARABOLA x = 8+2y-y², THE Y-AXIS, AND THE LINES y = -) AND y = 3

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Q: Solve ₂(x + 1)(x + 2)²(x²-1)dx with and without the even-odd theorems (show both solutions).

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Q: Find f. f(t) = f"(t) = 5et + 6 sin t, f(0) = 0, f(T) = 0

A: On solving this we will get

Q: The circle of radius 1 centered at (-3, 4,1) and lying in a plane parallel to the yz-axis is a)…

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Q: e2-s L-1 (5(5²-53) O [(-1/3) + e^(4(t-1))/3] e^2 U(t-1) O [(-1/3) + e^(3(t-1))/3] e^2 U(t-1) O None…

A: We have to find the inverse Laplace transform of the above expression.

Q: -0.45|-2.8x - 4.06| 2.5

A: Here we have -0.45-2.8x-4.06-2.5

Q: The volume of a cube is increasing at the rate of 4cm³/min. How fast is the surface area increasing…

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

A: We have to find the value of the integration ∫01x dx  with n=4  using trapezoidal method. From…

Q: a. Use the definition mtan = lim f(a+h)-f(a) h h→0 b. Determine an equation of the tangent line at…

A: Please refer to the image below

Q: Find the exact maximum and minimum volumes (in cm) of a rectangular box whose surface area is 1,300…

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Q: Find the volume of the solid generated by the region bounded by x² + y = 6, y = x, y = -2 and x = -2…

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Q: (-1)k 9. Does the series Ex=1 +7 converge absolutely, converge conditionally or diverge? A.…

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Q: Find the volume of R using shell method, when R is bounded by y = 4x - x², y = 0 about the line x =…

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Q: 4. Evaluate the line integral along the path C given by x = 2t, y = 10t, where 0 ≤ t ≤ 1. (a)…

A: Both integral is solved.

Q: a continuity of the function esinx (x,y) # (₂) X (X,Y)= (0,0) Discussion Sexiy) at the Point (0,0),…

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Q: Let r(t) = sin(t) and y(t) = 1- cos(t) All answers should be decimals 0.5 rounded to 2 decimal…

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Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: This question can be solved using the concepts of application of derivatives.

Q: If you evaluate the integral expression Blank 1 Add your answer 12x + 1 dx the result is Blank 1…

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Q: 3 [(V) dt -

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Q: r 1 1 sing at Ø 元-6

A: