Write a polar equation of a conic with the focus at the origin and the given data. 3 4' vertices (3, 1), (21, 2π) ellipse, eccentricity

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Q: 1. Convert the expression to exponent form and solve for the variable: a. log x= 6 b. logb 64 = 3

A: We have to convert the given expression to exponent form and solve for the variable.

Q: 21. Explain why the columns of an n x n matrix A are linearly independent when A is invertible. 34

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A: Given data Total length of fencing material is 240 feet.

Q: Evaluate the surface integral. Joyc y ds, S is the helicoid with vector equation r(u, v) = (u cos v,…

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Q: This answer is incorrect, please re-calculate ASAP

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Q: Evaluate the integral (by interpreting it as the area between two curves) 1 |x³ — x| dx

A: Here we can see the graph will have a turning or inflation point at 0. Therefore, the integration of…

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Q: Set up all surface integrals required to integrate on the boundary of the solid {(x, y, z) | x² + y²…

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Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

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Q: . Evaluate the limit by using a change of variable. 27 X 1 3 b. lim x-27 c. lim X² 1 X6 1 - X→1 X 1…

A: We are allow to solve first 3 subpart only, if you need rest of solution please upload them…

Q: 4 2 r=3 2 r=4 4 6 X (a) Set up an iterated integral in polar coordinates for the volume of the solid…

A: we can form integral then evaluate the integral

Q: A solid has an elliptical base with major axis 18 inches and a minor axis of 12 7. inches. Find the…

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Q: (2) For what value of c does y = cz + have a relative minimum at x = 2? ? (4) (C)0 (D) 2

A: To determine the value of c for which the function y=cx+3x2  will have a relative minimum at x=2.…

Q: f(x, y, z) = 2x − 3y + 8z, (-6, -9,7) A) -12i - 27j + 56k C) -6i - 9j + 7k B) −12i + 27j + 56k D) 2i…

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Q: Prove the identity. (1 + cotx)² = csc ²x+ 2 cotx Note that each Statement must be based on a Rule…

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Q: Consider the following. 5e6x = 20 (a) Complete the table to find an interval containing the solution…

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Q: Find lim h→0 f(2+h)-f(2) h if f(x) = 7x -4.

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Q: Calculate M6 for f(x) = 7 · ln(x²) over [1,2]. M6 =

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Q: f(x, y, z) = −2x − 7y + 8z, (-9, -8,5), A = 3i - 6j - 2k A) - 1/1/12 7 B) 14/11 7 c) 200 7 D) -…

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Q: et f(x) cx + In(cos(x)). For what value of c is f = T 4 = 4?

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Q: 5. Use the inverse found in Exercise 1 to solve the system 8x1 + 6x₂ = 2 5x₁ + 4x₂ = −1

A: I have appended the formula used in the solution procedure part of the question

Q: Evaluate the surface integral. √(x²z+ y²z) ds S is the hemisphere x² + y² + z² = 4, z ≥ 0

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Q: Consider the indefinite integral The integrand decomposes into the form ax+b+ + where a = b = C = d…

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Q: A sandwich store's weekly profit is given by P(x)= -0.0001 x2 +2.45 x-525. The number of sandwiches…

A: To determine whether the following statement is True or False. A sandwich store's weekly profit is…

Q: (a) (3√/3, 3) (i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 ≤ 0 < 2πt. (r, 8) =…

A: According to our guidelines we are supposed to answer only the first question.

Q: Step 2 Use the formula to rewrite the given expression as a trigonometric function of one number.…

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Q: (-3,3)- x = 2y-y² X

A: We use Horizontal strip to evaluate the area

Q: Find the surface area of the part of the plane z=3+4x+2y that lies inside the cylinder z² + y² = 4

A: Plane = z=3+4x+2ycylinder =x2+y2=4

Q: Determine whether the statement is true or false. (10%) = x10x1 True False dx

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Q: Let f(x) = x² - 4x-21 X-7 Find a) lim f(x), b) lim f(x), and c) lim f(x). X→7 X-0 X→-3

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Q: 1 2 sin(x) + sin(2x) J dx

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Q: dd cos² x. tan x, and use u = tan x. Split off sec x tan x, rewrite the rem terms of sec x, and use…

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Q: Find the integral. Use C for the constant of integration. [2x(1+2 2*(1 + 2x)3 dx

A: Let,  I=∫2x1+2x3 dx Substitute,  1+2x=t 2x·ln2dx=dt 2xdx=dtln2 So,  I=1ln2∫t3dt ∫tndt=tn+1n+1…

Q: 67. An early limit Working in the early 1600s, the mathematicians Wallis, Pascal, and Fermat wanted…

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Q: π 3) Let D be the region that is bounded below by the cone = and above by the sphere o = 10. 4 Set…

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Q: 9. Evaluate each limit, if it exists, using any appropriate technique. √x + 1 - 1 a. lim b. lim C. 2…

A: ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: Suppose X and Y are random variables with the given joint density function. ») - {0.10- 0.1e-(0.5x +…

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Q: What form do planes perpendicular to the y-axis have in spherical coordinates? B) Q = a csc o csc 0…

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Q: Identify which step is incorrect in graphing g(x) = -2(x-1)4-1 Step 1: Shift right 1 unit Step 2:…

A: Given that, the function             g(x) = -2x-14 - 1

Q: A box with a square base and open top must have a volume of 442368 cm³3. We wish to find the…

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Q: Referring to the graph above, which of the following statements is correct: OA. f"(x) 0 for all a…

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Q: Consider the polar curve r = 1 - 2 cos . Which TWO of the following expressions computes the area of…

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Q: Use the Leading Coefficient test to determine the right and left end behavior of the following…

A: fx=2x5+x-1 Comparing this with equation  fx=anxn+an-1xn-1+.......... We get, n=5 , an=2 n=5 (odd)…

Q: Find dx dt dy dt dy dx dx dt || 11 || dy dt dy dx x = 5t - 5ln(t), and y = 8t² - 8t -2

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Q: Compare the two quadratic equations listed below and explain how their graphs differ using the…

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Q: Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x2 + y2…

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Q: Given z₁ and 22, find the midpoint. Z₁ = −9+4i and Z₂ = 7 - 6i [?]+[] i 2 Enter

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs x = y5 and X =…

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