Ⓒ Given SS² +8 dy dx. Reverse the order of in tegration and evaluate. Draw the region.

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A: Solve the differential equation by separable variable

Q: please

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Q: Consider the polar equation defined by r = 5 cos(2 sin 6), where 0<0< 27. Determine the missing…

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Q: g expressions a. lim (2z - 1)(2-1)

A: Given : apply chain rule    find limit of about separately

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Q: Find an approximation of the area of the region t under the graph of f by computing the Riemann sum…

A: We have to find the area.

Q: Let f(x) = 3x² - 9x + 11 The slope of the tangent line to the graph of f(x) at the point (2,5) is…

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Q: -(;) > Let 7 (t) = < - 5ť² + 3, t² – 3t, In| a. Determine the coordinates of the point on the curve…

A: given: r(t)=-5t2+3,t2-3t,ln15

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Q: n 2 (4k – 2) = k=1

A: Recall:  1+2+3+...+n=n(n+1)2

Q: suppose f(x)= x^3+ax+b where a<0 and has stationary points at (-2,3) find a and b and find position…

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Q: Find the center of 8x 2 + 6y 2 - 32x + 24y + 8 = 0. (2, 2) (-2, 2) (2, -2)

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Q: Evaluate the integral. (y – 2)(2y + 1) dy Jo |

A: ∫xndx=xn+1n+1+C ∫1dx=x+c

Q: Solve the given differential equation by undetermined coefficients. y'' + y = 6x sin(x)   y(x)=

A: Follow step 2nd .

Q: Let g(x) = | f(t) dt, where f is the function whose graph is shown. y f 4 4 20 (a) Evaluate g(0),…

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Q: c. f(-8x)√√3-4x² dx d. S dx 6x² (4x³-9)3

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 42. If g(0) = 0 sin 0, find g"(π/6).

A: Solve the given

Q: Find the equation of the final function after all the following transformations have been made on y…

A: The below image has all the steps

Q: Find the area of the region bounded by the graphs of the equations. y = -x² + 6x, y = 0

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Q: Find T(t) and N(t) at the given point. r(t) = (t² – 11)i + tj; t = 11 T(11) : N(11)

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Q: Use Newton's method to approximate a root of the equation z + c + 3 - 0 as follows. Let I, = -1 be…

A: Let's find.

Q: Find the differential dy of the function y = Provide your answer below: dy = dx 5x4 + 4 4x + 3

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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: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 = klo

A: Polar curve

Q: 3 -18 )x are repeated real, 11 = -3 = dz and the Given the eigenvalues for X' = (C eigenvector is K…

A: Solve the following

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A: Explained below

Q: analyze and trace the given curves y = x2 + 1 / x2

A: Explained below

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Q: Find the area of the region enclosed by the inner loop of the curve. r = 2 + 4 sin ?

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Q: bus For the function f(x) given below, evaluate lim f(x) and lim f(x). 818 8118 f(x) = √3x²-1 7x+3…

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Q: Determine the constant of proportionality, k, given y directly proportional to x and y= 400 when…

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Q: analyze and trace the given curve y = 2x3 + 3x2 - 12x + 7

A: Given:

Q: Problem 4. Part (a) Part (b) 5ln(3-x) = 4 Do both parts. Write the sum using sigma notation:…

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Q: In order to solve with we first write and Setting to get sin 2xdx + cos 3ydy = 0 y(π/2) = π/3 cos…

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Q: 7. y=2 cos(x) - 1 끌 3m

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Q: A loaf of bread can be modeled by a rectangular prism topped with half a right. cylinder. Katherine…

A: A loaf of bread can be modeled by a rectangular prism topped with half a right cylinder. Katherine…

Q: Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find…

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Q: Find the sum of all the odd numbers between

A: Given,            Sum of all odd numbers between 21 and 355 inclusive.To find : Find the sum.We know…

Q: The Cartesian equation of the straight line tangent to the plane curve given parametrically by the…

A: Explanation of the answer is as follows

Q: If sint = 4/5 and t is in the first quadrant, find cos(2 t) -7/25 -9/25 7/25 24/25 None of these

A: There is more than 1 question, as per the Q&amp;A guidelines I am answering the 1st question. If you…

Q: Let f(x) = x² - 4x. (A) Find the slope of the secant line joining (1, f(1)) and (7, f(7)). Slope of…

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Q: Suppose that sec(t) = 3/2 and that tis in quadrant IV. Find the exact value of tan(t). -3/2 -$5 O -…

A: 1 +tan2(t) = sec2(t) In Quadrant 4th , secant and cosine are positive. Note : As per our Guidelines…

Q: Question Suppose that you are estimating sin (0.3) using the third Maclaurin polynomial for sin (x).…

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Q: -3x+1) -3х 2-3* dx

A: According to our company policy we are supposed to answer only first question and rest can be…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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