y = (cos 7x)x

Q: Let L denote the left-endpoint sum using n subintervals. Compute the indicated left sum for the…

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Q: Evaluate the integral by converting to polar coordinates. 3 S³ S 0 9-x² cos(x² + y²) dy dx = 0

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Q: (a) Consider the curve y = e dx 6x + 6). (c) This function is always differentiable. Its derivative…

A: Consider the curve (a) To find (c) To find the values of  when .(d) To find the intervals where the…

Q: 1) fx²e-³x dx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 1 Ifh (r) = e*, then h' (r) =? 04 x O(z) = _ r2

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Q: Evaluate the following limit. lim x→0 3 (²2 x 3 sin(2))

A: L=limx→0(3x−3sin⁡(x))

Q: Does the set of all positive rationals form a group with the multiplication operation? Either verify…

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Q: Find the absolute extrema (max and min) of f(x,y)=3x^2-2y^2 over the disc x^2+y^2<=1. Indicate all…

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Q: Knowing that sin(0.65) is about 0.6, find cos(0.65). What relationship between sin(0.65) and…

A: sin(0.65) = 0.6

Q: 0 -3 5 1 0 1 0 6-58 0 -1 -1 3 4 -2 0

A: The given determinant is

Q: Find all values of x and y such that f (x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = x² +…

A: The given function .The aim is to find all values of  and  such that .

Q: Find a Cartesian equation for the curve. r = 9 cos(0)

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Q: Consider the curve r(t) = tcos(log(t))i + tsin(log(t))j. Is the velocity constant? Is the speed…

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Q: -3x If h (x) = ln(x + 4 + e−³ª), then h′ (0) =? 01/10 O nonexistent 0 210 210

A: This is question of differentiationHere function given We have to differentiate it and put value…

Q: Find the equation of the tangent plane to the surface determined by x³y² + z-30 = 0 at x = 3, y = 5.…

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Q: Evaluate the integral. Answer= +C -22e-30 e2x + 6e +5 12276 -da

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Q: 23-28 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and…

A: (a) To find the intervals on which f is increasing or decreasing, we need to analyze the derivative…

Q: Find the derivative  a. y= ln(cos^2x) b. y= e^cosx+e^-x

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Q: Describe verbally the transformations that can be used to obtain the graph of g from the graph of f.…

A: we are given two functions, we need to write down the transformation that f(x) should undergo in…

Q: 17. x1 - 3x2 + 2x3 - 4x4 = = 0 2x1 - 5x2 + 7x3 − 3x4 = 0

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Q: Consider the function INTERMEDIATE WORK Using calculus give a sketch of y. Make sure you include the…

A: The given function equation is

Q: 4. Three large tanks contain brine, as shown in the figure below. pure water 4 gal/min A 300 gal B…

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Q: Estimate the area under the graph of f(x): rectangles and right endpoints. Rn = 1 over the interval…

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Q: Differentiate the given function. 8 (71 + 1/ ) (71²-9) F(t)= 7t =

A: we need to differentiate the given function.

Q: 1. Consider the following function, if x # 0 if x = 0 Prove that the function f is differentiable at…

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Q: Find the direction cosines and angles of u and show that cos²a + cos² ß + cos² y = 1. (Round your…

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Q: 3 + +++ -2 -3 -4 The graph above shows the base of an object. Compute the exact value of the volume…

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Q: Q9: Showthat triangle ABC is right at A where A(1,0,1), B(2,1,0), c (1, 2, 3).

A: Question No. (9):To show that triangle ABC is right at A where . Note: Since the student has posted…

Q: If what are the bounds of integration for the first integral? a= 11 [ f(a)d= = [ f(x) dx + " f dx […

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Q: f(x) = x³ - 27x + 8

A: f(x)=x3−27x+8

Q: use implicit differentiation to find dz/dx, where it is defined, if ln(x^2+y^2+xz)=5

A: The given equation  is

Q: Find the differ y = √3 dy= = Evaluate dy fc x = 1, G y =

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Q: (a) Estimate the area under the graph of f(x) = 1 + 2x² from x = -1 to x = 2 using three rectangles…

A: We have given that, the function is    , x = -1 to 2.(a) For n=3, we have the right Riemann sum…

Q: +² dt F(x) In(t) F(x), determine whether F is inc a dec x>2 at x=2020

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Q: Find an equation of the tangent line to the curve at each given point. x=2-3 cos 6, y = 3 + 2 sin 8…

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Q: Find a Cartesian equation for the curve. r = 5 sec (0) 2π X

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Q: Z₁ cos# = 2 V₁ 1 V +(x-2- sin e Z₁ cos Z₁ X + V₂ V₂ cos 9) +1/+ Z₁ 1 V. cose V 2 -sin 0 +

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Q: Compute the average rate of change of the function on the given interval. g(x) = x³ x on [4, 5] -

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Q: If y = cos² 3x, then =? dy dx dy dx O dy dx dy dx = 6 cos 3x = = -2 cos 3x -6 sin(3x) cos(3x)

A: Given,

Q: What is the acceleration of r(t) = (et cos(t), et, t).

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Q: dy dx cos(x + y) = 3x Find dy dx dy dx dy dx dy dx = = -3 csc (x + y) - 1 = -3 cos(x + y) - 1 = −3…

A: we need to find out the derivative.

Q: 3. Consider the curve which is the graph of the equation r³+y³ - 3xy = 0. Graph this curve using…

A: In this question, we will find the implicit derivative.

Q: Complete the table to find the derivative of the function without using the Quotient Rule. Simplify…

A: Rewriting expression

Q: Determine if the series diverges. If it does diverge, type a upper case D as your answer, and if the…

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A: Consider the series Sum of a geometric series

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 2xe…

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Q: Find the indicated derivative. for y=x¹5 58 11

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Q: 5. Let f(x, y, z) = x²e + ay³ + az + 115. Find fyzz (b) Find 8³1 əxəydy'

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Q: Form a polynomial whose real zeros and degree are given. Zeros: -4,0,1; degree: 3 C Type a…

A: we are given the zeros, and we need to find out the function.

Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

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