find the area of the region bounded by the curve y = x^3 and the line y = 8 using   a. vertical strips b. horizontal strips

Q: O Evaluate the following integral by using Odd and Cros² 5 ( ¹ ) d

A: We will solve the problem

Q: F(x)=2x-x/x-2x+1 ysis to sketch the following inction.

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Q: 2 Within x² - y² = 16, y = 0, x =

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Q: ddy /dx for the following functions: _y².cot x = [sin(x. y)]¯¹ b) y = (Inx+x)tan x

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Q: In the figure, the equation of the solid parabola is y=x²-4 and the equation of the dashed line is y…

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Q: Consider £ {y(t)} = Y(s) when solving the following equation: ty' (t) + 23ty(t) = 0 con y(0) = 0…

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Q: 7,000e0.1x dx   Find a substitution to rewrite the integrand as 70,000eu du. u=     du =        dx…

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Q: The function f is defined as follows. X if x #0 f(x) = 2 if x = 0 (a) Find the domain of the…

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Q: Max was injured and can no longer work. As a result of a lawsuit, he is to be awarded the present…

A: Concept: We have the present value (PV) If the rate of receipt of revenue from time t=a to b is R(t)…

Q: Choose the end behavior of the graph of each polynomial function. 4 (a) f(x) = -5x² + 4x + 2x² - 9 3…

A: (a)rise to the left and falls to the right

Q: The value of the following limit Lim (cos(x) cot(x) is: AL

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Q: Identify the surface defined by the following equation. 2x-y²-z² =0

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Q: List a value of X in quadrant ii that makes csc(x)=2 . Explain how you got your answer.

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Q: Let j=8 k=3 let A (0, 7-k), B(6, -k+5). Find all points P on the line y = 9-k such that AP I BP.

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Q: 3. The trigonometric sin cos coscos O2 cos cos O2 sin sin expression sin (0+) is equal to + cos sin…

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Q: 2x + y + z = 1. 7. Find the tangent vector r' (t) and unit tangent vector T(t) at the point with t =…

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Q: volume Find the about the given a) sketch the graph 6) Find the limit and 6 OF c) Complete volution…

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Q: Given f(x) = 1 x - 2 and g(x) = = 4 x + 3 find the domain of f(g(x)) "

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Q: /sin-¹ (√x) dx tegral.

A: Let I=∫sin-1x  dx

Q: 2. The sum of the roots of the quadratic equation x²-x-6=0 is given by 2 O

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Q: %VIII. १:०. By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)…

A: The given equation is;  y''+y'=sinx.

Q: For the piecewise function f graphed below, find the following. y-axis 6 5 4 3 2 1 78 9 10 11 12 13…

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

Q: 8 Y + 2√² + 2y = 10x + 25

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Q: A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

A: A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure  water is then…

Q: If we have the determinant below equal to zero, find the value of X 6 x | = ( 0 18 6

A: Given: 6x186=0

Q: find the area of the region bounded by the curves 4x - y2 = 0 and y = 2x - 4

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Q: 4. If x - 2y = -1 and x + 2y = 3, then a +y is equal to O 1 O ♡

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Q: In Problems 1-5, let R be the region bounded by y = x² + 3, y = 2x, x = 0, and x = 4. Each problem…

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Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: generated by revolving the given plome area line uning the dirc method. (answers ore in cubic a.)…

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Q: x² +5 x<2 Given the function f(x) = { -5x + 1 x ≥ 2 (i) Determine the values of the following: (a)…

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Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y =S₁ dx (x-1)².…

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Q: 6. If q p² p³ - 1 9² p2 µ³ – 1 1 = 0, show that pqr = 1. - 22

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Q: Determine the area of the region bounded by the line y = 8x, y -axis and y=10. a. 25 sq. units b.…

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Q: Y=t-2√√x + X

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Q: Find the average value over the given interval. f(x)=x²+x-7; [0,14] The average value of f(x) = x² +…

A: We have to determine the average value

Q: Graph the parabola y=(x^2-100x)/50

A: Graph the parabola y=(x^2-100x)/50

Q: Name: Roll No.: Date: 1. Find the L.C.M. of x²-5x+6, x²-4x+3 and x²-3x+2 2. Find the H.C.F of:…

A: Concept: Venn diagram: A Venn diagram is a diagram that facilitates visualizing the logical…

Q: Simplify to an expression involving a single trigonometric function with no fractions. cos(-x)+…

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Q: Q6) Find the Area bounded by the curves y = √x and x = 2y-y² ,with sketch.

A: The objective of the question is determine the area bounded by the given curves.

Q: In the process of calculating the inverse LaPlace of the function: F(s) = -29- arctan (²³3) you…

A: Given

Q: angle betw 2. Determine whether the vectors a and b are parallel, orthogonal or neither for the…

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Q: Given the function k(x) - Calculate the following values: k( – 9) = k(2) = k(4) = k( − 8) = k( − 1)…

A: Here we have to find the values of a function.

Q: # √² + y = 2 Y = 10 + 3X

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Q: Use the Lagrangian method to minimize f(x, y, z) = x² + 2y² + z² s.t. x² + 2y + 3z = 8 Find the…

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Q: Consider the function: sit > 5 f(t) = -{² 3t si 0 ≤ t ≤ 5 To calculate £ {f(t)} using definition you…

A: We have to find laplace of given function.

Q: Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t = 0

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Q: Find t for the following terminal points, 0 ≤ t < 2π (a) P(0, 1), = √2 2 (b) P ( - 1/², 1/²³). 1 = t…

A: Let's find t for the given  terminal points.

Q: 3. A box with an open top is to be constructed from a 10 inch by 16 inch piece of cardboard by…

A: To find the dimensions of the box.

Q: Q5. Check whether the given points A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4) are collinear.

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