SCX anx cotx 2. The expression 1 sinx 2 1 - cos²x is equivalent to which of the following?

Q: Find the distance from the plane 6x+y+7z=54 to the plane 6x+y+7z=30 The distance is d= (Type an…

A: given planes are 6x+y+7z=54 and 6x+y+7z=30

Q: If f is a differentiable f'(x)=x55x4+ function and 5x³+2, then fis concave up on

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Q: Find the exact slope of the tangent line to the parametric curve t = ㅠ 3 Give an exact answer, do…

A: We know that the slope formula of parametric equation is  dy/dx=(dy/dt)/(dx/dt)

Q: Let T denote the Nth trapezoidal approximation to 0 x³ dx.

A: Integration of x3dx limit from 0 to 1  We have to find T3  .i.e 3rd trapezoidal approximation

Q: (a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values. (c)…

A: Given conditions: The given function is y=x⋅x+3 ​ What we need to find: (a) Intervals of increase or…

Q: Find the critical numbers and any local maximum and minimum points for the function Find exact…

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Q: Use implicit differentiation Find dy at the point (1, 1) for 7x² + 4y³ + 6xy = 0. dx 10 9 10 to find…

A: given 7x2+4y3+6xy=0 , point is (1,1)

Q: The equation of the line that goes through the point (3, 8) and is parallel to the line 2x + 5y = 3…

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Q: (i) [² sin(x) sin (cos(x)) dx 0

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Q: X cos(x) dx?

A: ∫xcosxdx

Q: Kelly and Stuart bought potato chips for a party at the same store. Kelly spent $14.15 for 3 large…

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Q: Suppose that R is the finite region bounded by f(x) = √ and g(x) = co/8 3

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Q: 2x cos(x²) esin(x²) dx

A: ∫2xcosx2esinx2dx

Q: a. AOR: y = 0 b. AOR: x=0 c. AOR : x = 2

A: Since you posted multiple subparts, I need to solve only first three subparts.

Q: 5. Consider the following function: f(x)= e* (3x³) a. Determine the critical points of such function…

A: For a function f( x ) , we can find  critical points by f'( x ) = 0  Inflection points by f''( x ) =…

Q: The concentration of a certain medicine t hours after injection into the bloodstream is given by…

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Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

A: A piecewise function is given and here we need to find out that limit exists or not at x=1 and also…

Q: which value (s) {5,7,9,11,13}make the inequailty w-4<8 true?

A: The inequality is given and we need to solve it.

Q: The equation of the line that goes through the point (5,9) and is perpendicular to the line 4x + 2y…

A: given line goes through the point (5,9) and perpendicular to line 4x+2y=2

Q: Consider polar curves C1: r = 3+2sine and C2: r = 8sin0 1. Find the Cartesian equation of the…

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Q: You wake up one morning, and find yourself wearing a toga and scarab ring. Always a logical person,…

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Q: 1. Simplify the following numbers and write them in standard form: a. (4√-16+2 (150) -2(-4+3 (205)…

A: Given data 2+5i2-4i

Q: Find the area of the Polar Region located in the interior of the graph of r = 8 - sint A = 2√²/²2…

A: The polar equation r=8-sint Graph

Q: by identifying the domain and any symmetries, finding the derivatives y' and y'', finding Graph the…

A: We have,   y=x4+256x2

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y = stu²…

A: z=x4+x2y, x=s+2t-u, y=stu2 given s=1, t=3, u=5

Q: The region bounded by f(x) = -4 sinx, x = π, x= 2π, and y volume of the solid of revolution. Find…

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Q: At two points on the curve y = x3 − 6x2 + 8x − 1, the slope of the tangent line is −1. Find these…

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Q: Let f(x) be a continuous and differentiable function such that f(3)=7 and 2 < f'(x) < 4 for all x.…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A: The volume of the solid obtained by revolving the region bounded on the right by the graph of g(y)…

Q: 1. Determine the derivative of the following exponential functions 2x² a. f(x)= e b. f(x)=…

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Q: Work of 3 Joules is done in stretching a spring from its natural length to 19 cm beyond its natural…

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Q: Please solve this 100% Correctly and ASAP. Thank you Find the slope of the tangent to y = 5-x at the…

A: Given function is y=5-x We have to find the slope of tangent at y=0.2

Q: (4) Suppose V(t) represents the volume (in gallons) of water in a tank at time t, where t is the…

A: Solving the problem

Q: Solving the equation C= Bat/D-K for t, using logarithms with base a, gives you t = 108a()+K A. Dloga…

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Q: (ii) (iii) Find the co-ordinates of the turning points of the following function: y = x³ - 6x² +5…

A: Given the equation, we need to find out the turning points of the curve and also where it has maxima…

Q: Without graphing or solving for the inverse equation, list the transformations of the inverse of…

A: y = - sin(x+1)+3

Q: A state trooper is hidden 30 feet from a highway. One second after a truck passes, the angle theta…

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Q: the two-dimensional object. An oversized hockey puc = g _52+6. 495 2

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Q: Perform the indicated integration using RATIONALIZING SUBSTITUTION 3 dy 4 + ³√y+1 1.f.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: √2 cos 0 + √2 sin 6, find the Cartesian equation of the tangent line v Given the polar curve r = to…

A: We need to find equation of tangent line.

Q: y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' + 2xy² = 0. Find a…

A: y=1x2+c is a one parameter family solution of differential equation:  y'+2xy2=0.Initial condition…

Q: I understand part A where g is not continuous, but I dont understand the differentiable part. Why is…

A: Given graph

Q: How did we get 2π here?

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Express the given product as a sum containing only sines and cosines. 170 2 sin COS 0 A THE CHOICES…

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Q: How did you get from step 2 to the solution? I dont understand your example. Am I taking the…

A: The answer is in step 2.

Q: Find the distance, d, between the point S(5,3,8) and the plane 4x + 1y + 12 = 4 The distance, d, is

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Q: Suppose f(x) = 2 + 8x². Determine, in a simplified form, each of the following: (a) f(a) = (b)…

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Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

A: The slope of the tangent line to the curve is equal to the derivative of the function at the given…

Q: Answer the following questions for the given polar equation. equation: 7-2-2 sin 0 1 Fill in the…

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