Replace the Cartesian equation x² + y² equation. OA) r sin² 0 = 4 cos 0 B) r = 4 sin 0 Oc) r = 4 cos 0 OD) r cos² 0 = 4 sin 0 - 4x=0 with an equivalent polar

Q: 4x √x² - 1 2 s dx

A: Solve the integration

Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

A: Consider the curve  r=4+3cosθ

Q: Suppose that it is given to you that f'(x) = (x+6)(10 - x)(x - 12) Then the first relative extremum…

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Q: Problem 6. The graph of f' (not f) is given below. At which of the marked values of x is A. f(x)…

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Q: 8 Determine if the following series converges or diverges. If you invoke a test to demonstrate your…

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Q: ve the separable differential e C 1 = x² + t d find the particular solution sa 0) = = - 2.

A: topic;- application of integration

Q: Find the extrema and possible points of inflection (if any exist) of f(x)- In x X

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Q: Graph the conic section. Identify the vertices, foci, directrices, and asymptotes. Use a graphing…

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Q: Find an equation of the line that passes through the point and has the indicated slope. Point slope…

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Q: Find the inverse LaPlace transform F(s): s+2 2 s - 4s + 13

A: Solve the following

Q: Write the following expression as a single summation. ΤΗΣΗΣ 7· Σ (k2 + 8) + 9· Σ (2 - 1) = Σ k = 1 k…

A: Note :- These are multiple questions and according to our comapny guideline we can do maximum 1…

Q: If r(t) = (2e³t, 4e-3t, 4te³t), find T(0), r"(0), and r'(t) r"(t). T(0) = r"(0) = r'(t) r"(t) =

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Q: Find the shaded region in the graph. s 2 T y=4 y=3 cos x +1 x/6 X=- KIN x/3 2 л/2 2x/3 23 5x/6

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Q: roo dx X² O

A: We will find the given integral.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: Find area bounded by the carves. (Round answer to 2 decimal places) y = 7x² −2x _y=x³ -7x+4 +

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Q: Use the Comparison Test to determine whether the series converges. Σa, where an = n = 1 bn = 2 n(n +…

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Q: Suppose that f(5) = 1, f '(5) = 7, g(5) = −8, and g'(5) = 9. Find the following values. (a) (fg)'(5)…

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Q: Problem 2. Let f(x) = 8x²8x4. Find the open intervals on which f is increasing (decreasing). Then…

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Q: Solve the equation. (Find all solutions of the equation in the interval [0, 2?). Enter your answers…

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Q: Find the area of the triangle with vertices P(1,5,-2), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the…

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Q: Use properties of power series, substitution, and factoring of constants to find the first four…

A: Given the function 1+6x-2The taylor series,1+x-2=1-2x+3x2-4x3+...... for -1<x<1

Q: f(x) = { cos x, xpi  which lim does not exist

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Q: XD² +8D³² +16) y = _ sinx Ans: Y = C₁ cs2x+C₂ Sin2x + C3 Xcos2x + 4x sin2x = 1/-_sing

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Q: Let f(x) = x^2 + 3x^2 + 9. d) The absolute maximum value(s) of f(x) and the absolute minimum…

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Q: 9. (True/False) If f(x,y) is a continuous function on a closed, but unbounded set D, then f(x,y)…

A: False     because there are some functions which are continuous on a closed, but unbounded set,…

Q: Find the general solution to the differential equation: cos x y' = sin re

A: Solve the following

Q: C is counterclockwise around the rectangle with vertices (0, 0), (5, 0), (5, 3), (0, 3) (a) directly…

A: The given integral is: ∮xy dx+x2 dy C is the counterclockwise around the rectangle with vertices…

Q: 0 Solve the following ODES by Undetermined Coeff. "Y -zy - 4y + H -3X 2 ³x + 8 x + 8y = = 2X <-2X…

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Q: For the sequence, determine if the divergence test applies and either state that lim a does not…

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Q: A ball sits on the point (1,1) and touches the f(x,y)=5-(x^2+y^2). In which direction graph of will…

A: Here is the solution of the given problem.

Q: The reproduction function for king salmon in a sea is f(p)=p² + 7.5p, where p and f(p) are in…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y² + z² (8,…

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Q: Determine whether y = = 48y + 3y" 0 = Enter either YES or NO. -2 cos(4x) is a solution of the…

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Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: Let P(n) be the statement. n is a multiple of 3 and Q(n) be the statement. n is a multiple of 5.…

A: We have to find the true statement.

Q: Question 4 Solve the rational inequality: 2x²-8x+15 xâ450+ ≤0, using a factor table...

A: Given problem:-

Q: find the vertical asymptotes of the graph of the function f(x)=ln(x+3)

A: x=a is said to be a vertical asymptote of a function y=f(x) iff as x tends to a f(x) tends to ∞ or…

Q: Identify any Intercepts. y-Intercept (x, y) = x-Intercepts (x, y) = (x, y) = Test for symmetry.…

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Q: Use the following information to complete parts a. and b. below. Ιπ f(x) = sin x a == 6 a. Find the…

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Q: Find the first partial derivatives of the function. aw ди aw Əv 11 - - W = er u + v8

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Q: Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal…

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Q: Find the vector component of v = (4, -1, 7) along b = (2, 4, -4) and the vector component of v…

A: As we know that; The expression for the vector component of v along to b is: Vector component v…

Q: Σ 2-In(n) n = 1

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Q: For each of the labelled points on the graph, classify the corresponding point on the graph of y =…

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Q: Use the second derivative test to find the location of all local extrema in the interval (0, 2π) for…

A: Here we have to find the local extrema.

Q: et f(x) [8− x − x² if x ≤ 2 12x - 5 if x > 2 Calculate the following limits. Enter "DNE" if the…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: A farm costs f(x,y), where x is the number of pigs and y is the number of horses. There are 10 pigs…

A: Given fx(x, y) = 2x fy(x, y) = y2 f(10, 20) = 1,000,000 We have to estimate f(12, 19).

Q: Find the volume of the solid of revolution formed by revolving the region bounded by y = f(x) = 2x -…

A: Given problem:- Find the volume of the solid of revolution formed by revolving the region bounded by…