Find a Cartesian equation for the curve. r = 7 sec(0) Identify the curve. O circle O hyperbola O ellipse Oline O limaçon

Q: Create a problem where the equation of a line that has an absolute max of 5. Please show steps, (it…

A: We need to construct a problem where the equation of a line that has a absolute max of 5.

Q: Question #10 following. Use the function f(x)=x²-x² - 6x +3 to answer the -32-2²-

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Q: Given the sequence an +4): In 2+ This sequence is Select an answer This sequence is Select an answer…

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Q: (a) Evaluate the given line integral directly. (b) Evaluate the given line integral by using Green's…

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Q: Evaluate each infinite geometric series described. 1 5) a₁ = 16, r == 4

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Q: a) Show all steps to convert the parametric curve into Cartesian form: x = 4t, y=t² − 3| b) Identify…

A: The parametric curve equations are x=4t ,y=t2-3

Q: Find the area of the shaded region. -6 x = y² - 5 -4 -2 y 3 2 -2 -3 y = 1 (= e ²₁ X= 2 y = -1 4 X

A: The graph of the curves is To determine: The area of the shaded region.

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. = £²³ (t -…

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

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A: Given: 20 square inches of aluminum To find: To construct a cylinder of maximum volume from the 20…

Q: Given the function g(x) = 4x³ - 12x² - 96x, find the first derivative, g'(x). g'(x) Notice that…

A: g(x)=4x^3-12x^2-96x We have to find g'(x) and g"(x) Then find the point x=-2 where it is concave up…

Q: y The function P(x, y) = 6xy-4x²-3y² +100 is to be Question #18 maximized using the constraint.x +…

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Q: Given and f'(−1) = − 1 and ƒ(−1) = 2. Find f'(x) = and find f(2)= x² + 2x 00100 f"(x) = 2x + 2

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Q: -1 تريح 4 4 + 4 dr

A: Integration.

Q: Create a limit evaluation problem that requires conjugation with an answer of 1.5. Please show the…

A: We need to construct a limit evaluation problem that requires conjugation with an answer 1.5.

Q: O-a³-3a²+4a

A: Simplify the same coefficient

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Q: Consider the following function where a is a positive constant. f(x) = x + a√√x (a) Select the…

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Q: 2) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 4.2., # 8) A point on a…

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Q: cos(at)dt fors> Problems In each of Problems 1 through 3, sketch the graph of the given function. In…

A: f(t)= tsin(at) We have to find the Laplace Transform by integrating by parts

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for -∞. √6 + 2x² 11 + 7x (a) lim I…

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Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 23 knots and ship…

A: ship A is 50 nautical miles west of ship B ship A is salling west at 23 knots =23 nautical mile/hr…

Q: The function f(x) = 2x³ − 42x² + 240x-2 has two critical numbers. The smaller one is x = and the…

A: given function is f(x)=2x3-42x2+240x-2

Q: Find the area between the curves: y = x³ − 14x² + 40x and y = −x³ + 14x² − 40x 1280 3

A: Note:- Since the student has posted multiple questions and does not mention any specific question,…

Q: f(x, y) = 3x²y³ +2x-3y² +5. Find the following...

A: Partial derivatives with respect to x then y constant

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A: The given functionfx=3x2+5. To find the average rate of change from x=1 to x=4.

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Q: Consider the general alternating harmonic series: Determine whether the series converges absolutely,…

A: The general alternating harmonic  series:-

Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) -x + 9…

A: Function f(x) value (2x+2) when x greater then 0 and value (-x+9) when x less then 0

Q: (first graph the functions) A) Find the area enclosed by the curve y=x²-2 and the curve y = |x| B)…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: -0.21z Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e…

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Q: a tan dx (8x) tan (8x

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Q: For which of the following does lim f(x) = 0 ? 1.f(x) = II. f(x): III. f(x) In x x99 ex In x X99 ex…

A: To determine which of the following function will have limx→∞ fx=0. (I) fx=lnxx99 (II) fx=exlnx…

Q: Let f be the function defined below, where c is a constant. For what value of c is f continuous at x…

A: given function f(x)=x2sin(πx) for x<2x2+cx-18 for x≥2

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Q: This question is about plotting two points and drawing the straight line through them. Which TWO…

A: The equation of line y=-6x+2

Q: 3. Find the equation in standard form of the hyperbola satisfying the given condition: 3 -x 4 Foci:…

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Q: Evaluate the indefinite or definite integrals: arctany a) +y² 22dx (Use Trig Sub) b) c) fxsin²x dx…

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Q: 2. Evaluate the integral: f[2e* + x (x³ + ²)]. dx Solve the initial value problem, f'(x) = 5x² -…

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Q: n 24. Prove that k() = n2n-1 for each natural number n. k=1

A: Summation of k (n       = n 2n-1                                k)

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Q: 9. Suppose that you are Practice similar Help me with this d dx Find each of the following: (2³ 0²²)…

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Q: Obtenga la siguiente derivada mo dx d T dx Para la barra de herramientas, pre B TUS Párra

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Q: Consider the function(x)=20x²e-3x inflection at x = A. -0.2440 and 0.9107 B. 0.2357 and 1.1785 C.…

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Q: du Use the Chain Rule to evaluate the partial derivative at the point (u, v) = (0, 2), where g(x, y)…

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Q: Determine whether the series converges or diverges. 8n n² + 1 The series converges. O The series…

A: To determine whether the following series converges or diverges. ∑n=1∞ 8nn2+1 To determine the…

Q: (a) (b) (c) lim f(x) = = x-3 lim ƒ(x)= x→ 3+ (e) () find c so that f(c) = 5 (d) f(3)=

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