Find the slope of the tangent line to the given polar curve at the point specified by the value of theta. r = cos(theta/3),    theta = pi

Q: If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

A: Solve the following

Q: Question 5 Determine the volume of the solid formed by revolving the area bounded by y=x²-2x and y=0…

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Q: The graph represents the reciprocal function of f(x). What is the equation of f(x)? <-5-4 A f(x)=2x²…

A: Here we have to choose the correct option.

Q: Question 3 dz Find the partial derivative for the function z = 20y²√x. dy C ay az ay N GE - 201 az =…

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Q: Find the general solution to the differential equation. dy dt = y cos(7t + 2

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Q: days

A: Please refer to the image below

Q: Find the critical value(s) of f(x) = 7√x – x², to two decimal places as needed. Separate multiple…

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Major axis…

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Q: Evaluate the limit lim 8118 2 tan ¹(2x). Enter a simplified multiple of π or ∞ or -∞

A: This question is based Limits.

Q: Use the functions below to find the given value. f(x)=x2 g(x)=x² ¹)(-2) (9

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Q: Sx cos²xdx

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Q: Find the total change of f(x) between x = 0 and x = 2, when df = 4x² + 3x.

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Q: sider the following. C: line segments from (0, 1) to (0, 16) and (0, 16) to (15, 15) (a) Find a…

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Q: Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 135∘ (x,y)…

A: We have to find out the coordinates

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t): = 7 cos(t)i…

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Q: Find r(t) u(t). . r(t) = (3t − 7)i + 1⁄t³j + 4k - u(t) = t²i – 8j + t³k 41² ( 1 – 4) r(t). u(t) = Is…

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Q: cos xdx 54-sin²x

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Q: Question 1 Find the partial derivative ♬, for the function ƒ(x, y) = x² − 3y² +5.

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Q: Q5. (a) (i) (b) (c) (ii) Express sin 2x Express cos 2x Show that in terms of in terms of sin x Solve…

A: Given problem:- (a) (i) Express  sin 2x in terms of sin x and cos X.(ii)  Express cos 2x in terms of…

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: The base of a three-dimensional figure is bound by the line x = -y - 2 on the interval [-5, -2].…

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Q: 1 C 16 A 3 2 -1 -2- -3 -4 -5 1 V = 2 The graph above shows the base of an object. Compute the value…

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Q: -5 -4 -3 -2 15 -30- -45 -60- -75 -90 -105- -120- -135- J 2 For the above quartic polynomial f(x):…

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Q: Question 1: 10 Find the standard form of the equation of the ellipse and give the location of its…

A: The objective is to find the standard form of the ellipse.

Q: The graph below shows the function g (a), which is a transformation of f(x) = ²/ Using your…

A: We have to find the equation of the given graph.

Q: g(x) = 3.22(x+1) — 4

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Q: Find the intercepts and the vertical asymptote of   f(x)=x2−4x−5/x−6 Enter the intercepts as…

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Q: With your pencil, make a dot on the position of your best visual estimate of the centroid of the…

A: Here, from the given data, it is clear that the centroid is on the y-axis. So, the x-coordinate of…

Q: QUESTION 4 Using the definition of convolution find the convolution of the following functions (f*g)…

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Q: Find the derivative of f(x, y) = e- x ln(y² + 1) at the point R(4,0) in the direction of w = (2, 1).

A: NOTE: Refresh your page if you can't see any equations. . the given vector is find the unit vector

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given that the first equation is          x3=y-2-1=z+11  Its parametric form are:    x=3t , y=-t+2 ,…

Q: 38. 32 (-1)k k=0 (2k + 1)³

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Q: Consider an object moving along a line with the following velocity and initial position. v(t)= 12-4t…

A: Solution of given question is written in below steps.

Q: Find the area of the region in the first quadrant bounded above by y = -x² + 6 and below by y = x. 4…

A: Solution of given question is written in below steps.

Q: Answer the following completely. f(x)= = - sin X 2 + 8 +2 a. Sketch one cycle of the graph of y =…

A: We have to sketch the graph of the given equation.

Q: Let f(x)= x - 25 (a) Calculate f(x) for each value of x in the following table. (b) Make a…

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

Q: Let R be the region bounded by y=x², x=1, and y = 0. Use the shell method to find the volume of the…

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Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

A: The objective is to find the indefinite integral.

Q: For the curve defined by →r(t)=⟨e^−t,4t,e^t> find the unit tangent vector, unit normal vector,…

A: We have to find the unit tangent vector, unit normal vector, normal acceleration, and tangential…

Q: 4. The associated auxiliary equation with the homogeneous linear differential y"+2y' + y = 0 is A.…

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: If cos² 9x sin 91 = cos B, then B =

A: Given Problem:- ifcos29x-sin29x=cosBthen find B

Q: Question 6: Find the standard form of the equation of the ellipse satisfying the given conditions.…

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Q: 5. The general solution of (D² A. y = (C₁+C₂x)e+C3 C. y = (C₁+C₂x)ex+C3e-2x +2D+1)(D²+4)y=0 A) A cos…

A: To find out the general solution of the differential equation.

Q: Determine the area bounded by y²=x+1 and y=1-x

A: Solution of given question is written in below steps.

Q: The circle with center B is a dilation of the circle with center A using scale factor 2. Select all…

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Q: 。 5 D Yp = = [1 + ( ² + D²)] ¹ (X² + 7 X + 9) 4 4 5 D = - - [1 - ( 2² +2²) + ( + 2)² + +-- 4 4 (x² +…

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Q: Find critical values of the function. If they exist label as a max/min. Only use f' and keep answer…

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Q: Given the initial condition y(0) = 2, find the particular solution of the equation exy' - 2x = 0…

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Q: Use the Comparison Test to determine whether the series converges. Σ K = 1 1 5k5+6 The Comparison…

A: The given series is ∑k=1∞15k5+6