Eliminate the parameter and write the resulting rectangular equation whose graph represents the curve. x=1+cos(theta) y=1+8sin(theta)

Q: D Question 5 Find the derivative of -2x f(x) = x f'(x) = -2x²e-2x (E) None of these f'(x) = e-2x…

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

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A: To find the reduced row echelon form of the given augmented matrix .

Q: 4. y ln x + xesin y = 0=

A: Given

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A: We can find the values of k as below.

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Q: B) Estimate the next root of the function f(x)=x^3-x-1 using Muller method, let x0=1, x1=2, x2=1.5

A: Muller method: The Muller approach is applicable to any root-finding programme, but it is especially…

Q: Show that if x is an integer, then gcd (x+1, x^2 -x +1) divides 3. Use this result to find knowing…

A: Solving

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A: Given

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A:

Q: Find a potential function of the vector field. F(x,y) = (3x²y + 1, x³+2y)

A: we have to find potential function.

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Q: Q2: find dw/dt at given value point for the following function

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Q: c) 59 ² + √x dx x

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Q: Evaluate. (Be sure to check by differentiating!) 6 7 STOCK *XX=-=-= dx, x# 7 + 6x 6 6

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A:

Q: Given the function of f(x) = 8x² - 8x on the interval [0, 1], find a point c between 0 and 1 so that…

A: Answer is in step 2.

Q: Differentiate the function. 10u + 100 G(u)=1n₁ 10u - 100

A: We can differentiate the function as below.

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A: We have to find the area by right endpoint rule.

Q: 7. Determine each of the following for the function, f(x, y) = 7x³y² - 2x + 3y. Show all work toward…

A: Given,  f(x,y)=7x3y2-2x+3y

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A: Compound continuously A=Pe^(rt)

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A:

Q: The population of elk in a national park is given by the function 1000 P(t) = 1+15e-3t where t is…

A: This question can be solved using the concept of differentiation and limits.

Q: Find the equation of the line tangent to the graph of f(x) = (In x)² at x = 7. MER y= (Type your…

A: Find the derivative at the given point and write the equation of tangent line using slope point…

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A: Solution is here

Q: . find f'(x) if f(x) equals the given expression. a. log (x4 + 3x2 + 1) b. log (3x2 + 2)5

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. | ||ti + 1²3|| dt =

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Q: Find the derivative of f(x) = tan(sin(2x))

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Q: Find a, and d for each arithmetic series. 61. $20=1090, 420= 102 63. S16-160, a16-25

A: Given that : S 16 = -160 and a16 . = -25.  is for a arithmetic series.   And we find the value of a1…

Q: 3 (1 – 6x) C4 = Find the radius of convergence R = Represent the function f(x) = ➤ Cnxn n=0 Co = C₁…

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Q: дz State the multi-variable chain rule for du z=z(t, s), t=t(u, v, w), s=s(u, v, w) if

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Q: Question 6 The domain of the function f(x)=√-4x+12 consists of one or more of the following…

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Q: Find the limit. NOTE: Enter the answer using round brackets. 1 lim (12²2 +9.7) = (17.00) 9't

A: Given : A value that a function approaches the output for the given input values Here, it has been…

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Q: 3 sin (29) 1. Consider the polar equation (a) Complete the tables for the given values of Round to…

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Q: Evaluate the following limit using L'Hospital's rule. Enter an exact answer. Provide your answer…

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Q: 3. Let h = f(t) be your height (in meters) above the ground while riding a Ferris wheel. The Ferris…

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Q: 5. Use spherical coordinates to evaluate [[[ (x² + y² + 2²) ² dv D where D is the solid hemisphere…

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Q: Find the average rate of change of f(x) = 5x²-9 on the interval [2, t]. Your answer will be an…

A: Use the formula for the average rate of change of a function.

Q: a₁ = 5 9₁2=35 Find the common difference using arithmetic sequence.

A:

Q: Question 8 Find the derivative -[f (x)] dx Anmospace support = 3 In (In (x²-3x + 5)²) 3(2x - 3)…

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Q: Based on the table below, I f(z) 53 61 3 0 1 2 3 4 10 Evaluate f(5): f(5)= Solve f(z) = 3: z = 45 5…

A: The table is given by To evaluate: The value of f5 and the value of x for which fx = 3.

Q: 13. Find the mass of a thin funnel in the shape of a cone z = √x² + y²,1 ≤ z ≤ 4, if its density…

A: answer is in next step

Q: Find the arc length of the graph of NOTE: Enter the exact answer. L = r(t) = √2ti + e-√2tj + 2tk,…

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Q: a) lim f(x) 2-0- c) lim f(x) e) lim f(x) 4 3 2 1- 0 + -1- Š 4 b) lim f(x) 2-0+ d) f(0) f) lim f(x)

A: a) limx→0-f(x)=-∞b)  limx→0+f(x)=2c) limx→0f(x)=Does not existd) f(0)=2