00 Στ k=1

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: Example 0.3. Find the volume of the solid obtained by rotating about the y-axis the region bounded…

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Q: Pictured below are a contour map of f and a curve with equation g(x, y) = 8. Estimate the maximum…

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Q: A farmer wants to fence off a rectangular field that borders a straight river. She needs no fencing…

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Q: 14) Find the equation of the line passing through the point (2,3,4) and perpendicular to the plane…

A: Point p ( 2 , 3 ,4 ) Plane 3x + y + 2z = 6

Q: Let f(x) = −3x(sin(x) + cos(x)). Find the following: 1. f'(x) = 2. f'()=

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Q: The plane x + y + 2z = 30 intersects the paraboloid z = x2 + y2 in an ellipse. Find the points on…

A: The plane x + y +2z= 30 intersects the paraboloid z =   x2  + y2   in an ellipse. Find the points…

Q: The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = V. Find the…

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Q: Exercises 5-10 refer to the function x² 1, 2.x, 1, -2x + 4, 0, f(x) = graphed in the accompanying…

A: Given: Refer to the functiongraphed in the accompanying figure.To Find: (a) To determine whether…

Q: y = 8x², x = 1, y = 0,

A: We know that the formula of disk method about the x-axis is V=int_a^b pi [(f(x))^2-(g(x))^2] DX

Q: Follow the steps below for the given function. (Do not use mixed numbers in your answers.) 4x + 7y =…

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Q: Find the indicated partial derivatives. f(x, y) = x³y7 - x7y6; fxxx' fxyx fxxx(x, y) = fxyx(x, y) =…

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Q: Evaluate the line integral along the given path. [ (x² + x² + 2²) ²² ds C: r(t) = sin(t)i + cos(t)j…

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Q: If 85x + 9 = 46, solve for x. X =

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Q: justify your answers to the following: (a) Find intervals where fis increasing or decreasing. (b)…

A: Note:-Since you asked multiple sub parts questions , according to our policy we can solve only first…

Q: Solve the given differential equation by undetermined coeffic y" - 6y' + 9y = 9x + 7 y(x) =

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Q: A veterinarian has been asked to prepare a diet for a group of dogs to be used in a nutrition study…

A: A veterinarian prepare a diet as follows,each serving should no larger than 8 oz.Must contain at…

Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

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Q: A population of viruses is increasing at a constant relative growth rate in the bloodstream of its…

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Q: A particle moves along the x-axis with an acceleration given by a(t) = 6t+2, where t is measured in…

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Q: 3 Consider the function f(x) = x² 9x27x27. If you were asked to factor it completely, you could use…

A: The given function is,

Q: Solve the given differential equation by undetermined coefficients. y"" - 3y" + 3y - y = x - 5e*…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 4x 20y4z = 1 3x - 15y 3z = -4 O…

A: The given planes are

Q: Find an equation of the tangent line to the given curve at the specified point. x² - 1 x²+x+1 (1, 0)…

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Q: At 2:00pm a car's speedometer reads 20mph, and at 2:10pm it reads 30mph. Use the Mean Value Theorem…

A: We can use application of calculus in order to solve the given problem.

Q: Approximate the area of the triangle to the nearest tenth. a = 36°, y = 50°, b = 78.2 1380.1 1388.4…

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Q: Use the graph in the figure to determine the followings. 2- 1 y=f(x) lim fx x→3 If the limit is…

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Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

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Q: Solve the given differential equation by undetermined coefficients. y" - y' + + 1/2y = 7+ex/2 y(x) =

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Q: Suppose that a population of bacteria triples every hour and starts with 600 bacteria. Find an…

A: Bacteria triples every hour. The number of bacteria increases 3 times in 1 hour3x3=32 times in 2…

Q: Evaluate each of the following limits. If you need to use ∞ or -∞, enter INFINITY or -INFINITY,…

A: NOTE: As per our we are suppose to solve first three sub-parts of the question.(a)

Q: Solve the given differential equation by undetermined coefficients. y"-y'- + y(x) = y = = 7+ex/2

A: The solution is shown in step-2

Q: The derivative of a function of f at x is given by f'(x) = provided the limit exists. Use the…

A: Givenf(x) = 5x2 + 2x + 4

Q: Find the length x to the nearest whole number. X 410 (Do not round until the final answer. Then…

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Q: Determine whether each statement is true or false. You have one submission for each statement. (a)…

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Q: Consider the equation 8x²-6x = 8-10x + 12, Enter the number of solutions of the above equation.…

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Q: c. lim X-2 3x²-√9x4+x+2 x³+2x²

A: Given

Q: For the equation given below, evaluate I dx at the point (-1,2). 2y² - 5x²-3=0

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Q: Find z²dA where R = {(z,y) | 36x² +9y² ≤ 324}

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Q: Approximate the area under the curve graphed below from x = 3 to x = 8 using a Left Endpoint…

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Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

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Q: Find the first and second derivatives of the function. f(u) = √10 - 5u f'(u) = -5 f"(u) = -5 du dx X

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Q: bz In Exercises 15-28, use Theorem 1 to determine the limit of the sequence or state that the…

A: The given sequence is

Q: f(x) = |x| Complete the following when f(x) = 3 f(x)=x+6 a. Draw a graph of f. b. Explain why f is…

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Q: Solve the given initial-value problem. y(x) = y" + 4y' + 5y = 35e-4x, y(0) = -6, y'(0) = 1

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Q: QUESTION 9 Write the expression in expanded form. x2-9 (x + 2)2 6 logg x - 6 logg 3-3 logg x - 6…

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Q: Match the series with the graph of its sequence of partial sums. 27-1) Sn Sn Sn n .... 8 .... 8 ....…

A: The given series is:

Q: The US Postal Service will accept a box for domestic shipping only if the sum of its length and…

A: Let b be length of the box and a be the length of the side of the square.The volume V of the box…

Q: Find the nth Taylor polynomial for the function, centered at c. 1 = 7/2² n = 4, C = 4 f(x)

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Q: Use identities to simplify the expression. 1 - sin e csc e 0 cos²0 cot 0 csc 0 tan 0 sec 0 sin 2

A: By using identities to simplify the following expression.