Complete the parametric equations for the given rectangular equation. (a) Rectangular equation: (b) Parametric equations: Rectangular equation: Parametric equations: y=x² +5 x=t+2 y = 0 x² + y² = 16 y = 4 cost X = 믐 cos X C

Q: Question 6. Find the area of the region outside the polar curve r = , but inside r = cos(40). As…

A:

Q: Find f'(x) if f(x) = sin x+2 sec x tan x 8 cos x 2 tan² x-3 8 sin x cos x+2 sec x 8 sin x sin x sec…

A: To find the derivative of given function

Q: 5 Question 3 Use the divergence theorem to find the total flux out of the solid 0≤x≤1, 0≤ y ≤1-x,…

A: We need to choose correct option.

Q: dy dx x = h - 2 x (1 - y = x² sin x

A: xdydx-y=x2sinxdydx-1xy=xsinxthis is linear differential queation of first order

Q: Estimate the area under the graph of f(x): = rectangles and right endpoints. Rn = Repeat the…

A:

Q: Find limt →0 1 t+2 2 t

A:

Q: A stone pyramid in Egypt has a square base that measures 158 m on each side. The height is 92 m.…

A: Given Data   Base (B)=158 m  Height (H) =92 m

Q: Sketch a graph of x = -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -4 -5 - 2t2, y = t - 1. 1 2 3 est 4 5

A: Here is the solution.

Q: 4. Find the first and second derivatives of the function: f(x)=√x².

A:

Q: Σ n=1 5 n(n+1) 1 (-2)] (Hint: use partial fractions)

A: To find the convergence and divergence of given series.

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A:

Q: Where did the 648 come from in part (a)?

A: Let's solve.

Q: Find the Maclaurin series of the function f(x) = 8x³ – 9x² − 4x + 9. - Determine the following…

A:

Q: Find the area enclosed by the ellipse a cos(t), y = b sin(t) with 0 ≤ t ≤ 2.

A:

Q: What is the equation of the tangent line to the curve y=2x²-x²+ 3x-5 at a point where x = 1? (NOTE:…

A:

Q: Classify the following as a linear relationship, exponential relationship, or neither. Explain your…

A: We need to determine relation.

Q: 4.) [3x²(x²+2) dx

A:

Q: 20. Find the foci of the ellipse whose equation is given below. (x+1)² (y+3)² 36 16 -1

A: As we know the standard equation of the ellipse is: x-h2a2+y-k2b2=1 Where the center is at h,k. And…

Q: A sports ball has a diameter of 11 cm. Find the volume of the ball. Round your answer to 2 decimal…

A:

Q: Identify the equation of each of the following graphs. W 7/2 37/2 7.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: If f(x) = 2x³ + 8 x² + 3, at what points are f'(x) zero or does not exist ? A B (C) 1,0 0, 0, D 0, w…

A: Given query is to find the points where derivative is zero

Q: Find the arclength of the curve x with 2 ≤ t ≤9. 1 3 Y - 2

A:

Q: A culture of bacteria in a particular dish has an initial population of 400 cells grows at a rate of…

A:

Q: Consider the curve given by x = t³ +2t² - 4t + 7 and y = -8t+t². (a) Find the equation of the…

A:

Q: Find and dy dx x = 3t - 3ln(t), dx dy dt' dt y = 8t² - 8t-2

A:

Q: What is the equation of the normal line to the curve y = 2x³-x² + 3x-5 at a point where x = 1 ?…

A:

Q: Find an antiderivative of the following function. f(x) = x6 An antiderivative is

A:

Q: - Find a unit vector which is in the direction of (-4, 7).

A:

Q: Find the area of S, which is the portion of the plane 2x + 3y + 4z = 28 lying above the rectangle 1…

A:

Q: Determine a vector equation for hte line through the point: (-2, 0, -8) perpendicular ot the plane:…

A:

Q: Use sigma notation to write the sum. 1 5(4) Σ i = 1 + 2 5(5) + 3 5(6) + + 10 5(13)

A:

Q: Evaluate. 2 0 √2x dx

A:

Q: Determine whether Rolle's Theorem can be applied to fon the closed interval [a, b]. (Select all that…

A: Given function:- fx=x3-48x-6

Q: Check the convergence or divergence of the following series and find the sum if the series converges

A: We have to find if the given series converges.

Q: 10. Using cylindrical coordinates evaluate the triple integral [√² + y²dV where E is region that…

A:

Q: (a) Rectangular equation: (b) Parametric equations: Rectangular equation: Parametric equations:…

A:

Q: Find the critical point of the function. Then use the second derivative test to classify the nature…

A: We have to find the critical oint and classify it.

Q: f(x) = ex/x

A: Given :   critical point equate to zero

Q: Consider the following function. f(x) = x² - 8x + 7 (a) Find the critical numbers of f, if any.…

A: Given a function f(x)

Q: 0 1 Find an orthogonal basis for the space spanned by 0 X 2 0 2 0 , and -4 2 -6 -4

A:

Q: Find the surface area and the volume of each figure. Give the exact answers and the approximations…

A: We can find the surface area and the volume in the below steps.

Q: Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = 4xyi + 5yzj + 2x…

A:

Q: Given the function graphed below, evaluate the definite integra 4 3 2 1 -1 -2 -3 -4 3 [*³ f(x)dx= 7…

A: Given query is to find the value of the integral.

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = √16 - x² dy =

A:

Q: √9-1² - Compute the following double integral LS sin(x²+y2) dy dx by converting to polar…

A: The given integral: ∫-33∫09-x2sinx2+y2 dydx

Q: dR 22 dt 3 R(1) 56

A: To find the particular antiderivative of the following derivative that satisfies the given…

Q: (a + 2b-3c) (ab+c).

A: let  I=(a+2b-3c)(a-b+c)

Q: 8. Represent 1/7 with Egyptian symbols 9. Write as a sum of unit fractions: 3/8

A:

Q: Show if the following limits produce an indeterminate form. Then, evaluate the following limits. x 2…

A:

Q: and the future value P of the amount Po= $200,000 invested for time period t= 5 years at interest…

A: Continuous Compounding Formula: P = P0·ek·t where P = Accumulated Amount P0 = Principal Amount k =…