13) 16) x2/3 x + 1 x³ x² +1 dx dx

Q: A research lab grows a type of bacterium in culture in a circular region. The radius of the circle,…

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Q: Q3: Let L be the line of intersection of the planes 3x + y -z = 4 and 5x + y + 2z = 1. Find the…

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Q: Let f(x) = = Jmx - - 6 X x² + 10x - 2 if x < - 4 if x ≥ 4 If f(x) is a function which is continuous…

A: Find the value of m

Q: The vector v = ai + bj is parallel to the line bx - ay = c. Use this fact to find an equation of the…

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Q: 5(4) + 3y(3) = 0

A: Let's solve given differential equation.

Q: Express 2187 as a power of 3

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Q: 16. Determine if the Mean Value Theorem for Integrals applies to the function f(x)=√x on the…

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Q: Define R as the region that is bounded by the graph of the function f(x) = 1-2, the z-axis, a = -1,…

A: Given problem:- Define R as the region that is bounded by the graph of the function ⇒fx=1-x22the…

Q: f(x) = y 9 8 7 6 5 4 3 2 x + 5 J 5 6 7 8 X 1 2 3 4 Describe the interval(s) on which the function is…

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Q: f(x) = x< – 7x + 3 f(x + Δx) = f(x) ΔΧ

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Q: The rate of change of the variable y with respect to x is equal to the expression 5x*-3e***. What is…

A: rate of change of variable y with respect to x is =dydx

Q: Determine where the function F(x)= 4x 2 x +49 is continuous. The function is continuous on (Simplify…

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Q: I don't understand why the sign was changed from + to - in the second line of step 6

A: see below the explanation

Q: 8. (a) Compute the roots of the quadratic polynomial s² + 2s + 5. (b) Is the polynomial s2 + 2s +5…

A: Given quadratic polynomials2+2s+5a.Discriminant,D=b2-4acD=22-4×1×5D=-16D&lt;0so, this quadratic…

Q: 6. The value of a new speed boat depreciates at a rate of 7% per year. If the boat was bought for…

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Q: 3) Find the second derivative of y with reference to x. xcosy = y

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Q: The point P(1, 0) lies on the curve y = sin( (a) If Q is the point (1) 2 = sin(13). CIEN : (x, sin(…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Question 22 of 25 If f'(x)=+5 where f(1) =0, then f(3) = A)-12 B) 12

A: Solve the given function

Q: For the discrete logistic equation Xt + 1 = cxt(1 - xt) and the given values of xo and c, calculate…

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Q: K- Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) =…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is  here we have A=60

Q: Label the zeros and asymptotes . Graph each function .Answer each limit question . Answer 18 only

A: We have to graph the given function and label the asymptotes and zeroes.

Q: Evaluate the integral: ³√1 + 100x² da

A: Need to find out the integration.

Q: Sketch the region and find its area. The region bounded by y = -8 00 8 Y -00 X 36 9+x² Calculate the…

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Q: (b) Evaluate the integral x + 3 (4-5x2) 2 dx.

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Q: Eliminate the arbitrary constant. 2x -X y=c₁e + c e 1 2 A B с D y" y'- 2x=0 y"-y'- 2y=0 2y"-y-2x=0…

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Q: 30. F(x)= = 0.292 0.540 0.709 0.842 sin(1²)dt . Use your calculator to find F '(1).

A: We have Fx = ∫0xsint2dt To evaluate: The value of F'1

Q: Function 2 x + 2 Discuss the continuity of the function on the closed interval. (Enter your answer…

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Q: Eliminate the arbitrary constant. y=Ax 5+ Bx³ A B 7xy "- x²y + 15y = 0 D x²y '- 7xy "+15y = 0…

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Q: у=х+5 6х

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Q: Solve the Differential Equation x² (y² +3) y(x³+1) dy + dx = 0

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Q: 1, if possible, A+ B, A −8, 24, 24-8, and 8+4. (If not possible, enter IMPOSSIBLE in any single cell…

A: To find matrix.

Q: The differential equation dy 18 dx y¹/2 + 4x²y¹/2 has an implicit general solution of the form F(x,…

A: The given differential equation,      dydx=18y12+4x2y12 we have to find the general solution of the…

Q: 3. Let 1 ƒ(x)=_=_=__and g(x)== x-4 Find f(g(x)) and find its domain.

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 1. Solve the differential equation xy dx - =O (x+2) dy =o

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Q: Find the trace of the matrix. The trace of an nxn matrix A is the sum of the main diagonal entries.…

A: The given matrix is A= 1 0 5 1        0 1 -1 5       2 5 1 0      0 0 4 1.

Q: Financial planners suggest a monthly budget similar to that shown in the pie chart below.1 Use the…

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Q: 18. The first term of a sequence is 3 and the common difference is 4. State the general term.

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Q: Suppose f and g are continuous functions such that g(4) = 2 and lim [3f(x) + f(x)g(x)] = 10. Find…

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Q: 13. Find the area of the region bounded by the graphs of y = x, y = -x + 8, and y = 0

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Q: Find c such that the function x ≤ c { is continuous everywhere. f(x) = x² - 3 X 6x 12 x > c -

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Q: b. lim X-C * 17 x c where c is some fixed real number.

A: Above question is solved.

Q: The shaded region between the graphs of y y = 3x - 15 is displayed below in orange. 2x² + 20 and

A: NOTE: Refresh your page if you can't see any equations. .

Q: 28. The function f is continuous on the interval [3, 11] with some of its values given in the table…

A:

Q: How would you "remove the discontinuity" of f? In other words, how would you define f(4) in order to…

A: Discontinuity of f can be removed by factorisation of the numerator

Q: Let h(x) = f(x) + g(x). If f(x) = 2x² and g(x) = 8x5, what is h'(x)? Do not include "h' (x) =" in…

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Q: how is it possible to solve for the domain of f(x)=4x+x^2?

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Q: Write the interval of continuity for the function below: sin(x)√/25 - x2 x-6 f(x) =

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Q: question 5. (D² + 4D + 4)y=0, x= 0: y = 1, y' = -1 answer 5. y = e 2x (x + 1)

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Q: Solve the nonlinear inequality. Express the solution using interval notation. x+1+x+4 so Graph the…

A: Please see the below picture for detailed solution.

Q: Prove the identity. sin (x-y) cosx cosy tan.x - tany Note that each Statement must be based on a…

A: We can prove the given statement as per the example in the below steps.