Convert from polar to rectangular coordinates (5. =) 6 (Round your answer to 2 decimal places where needed.) X = y =

Q: = 7. Use Lagrange multipliers to find the points on the circle x² + y² nd farthest away from the…

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Q: 5. Find the volume of the solid enclosed by the planes x = 0, y = 0, x+y=1, as well as the plane z =…

A: x=0, y=0   x+y=1  where if x=0 then y=1and y=0 then x=1 So we can say that 0≤x≤10≤y≤1-(x+y)≤z≤x2+y

Q: The hyperbolic cosine function, denoted by cosh, is defined by the equation cosh(x) = (ex + e-x) (a)…

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Q: Let S(x) = (3x - 3-x)/2 1/2 and C(x) = (3x + 3-x)/2. Compute [C(x)]² - [S(x)]². [C(x)]² - [S(x)]² =…

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Q: entify which step is incorrect in graphing g(x) = -2(x-1)4-1 ep 1: Shift right 1 unit ep 2: Reflect…

A: We will find the required.

Q: -g N find dy/dx (x-1) (x+1) 1-x²

A: We need to find derivative.

Q: Find the second and the third components of a vector n normal to the plane with the equation 6x + 6y…

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Q: 5. In regular octagon ABCDEFGH, prove the following: Prove that: AE + DH+ DG + AF = 4AH + EF + HG…

A: we have given regular octagon ABCDEFGH,   Prove that: AE→ + DH→+ DG→ + AF→ = 4AH→+EF→+HG→

Q: Problem Number 11 From a thin piece of cardboard 8 in. by 8 in., square corners are cut out so that…

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: Use the Law of Sines to find the indicated side x. (Assume a = 185. Round your answer to one decimal…

A: Assume a=185

Q: 3. 2 1 1 lim f(x) lim f(x)

A: Graph of functions are given, to find out the limits.

Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m³/min. How fast is the…

A: Given : The radius of the cylindrical tank is 5 m. Water is filled at a rate of 4 m3/min

Q: Consider the function f(x) = 10x + 6x + 7x + 20. For what value(s) of x a. Find the turning points…

A: f(x) = 10 x3 + 6 x2 + 7 x + 20

Q: Use the graph shown below to answer the questions. (a) Amplitude = (b) Period= y 10- 4 8 (c) Write…

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Q: Problem Number 5 Determine the horizontal asymptote of f(x) = 3x-4 X

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Evaluate the indefinite integral below. (106 (10ex - e4) dx

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Q: Find the area of the region bounded by the curve y = 24 and the z-axis. (Hint: use u-substitution)…

A: We are required to find the bounded area as shown in the figure.

Q: Find the volume of the solid by subtracting two volumes. the solid enclosed by the parabolic…

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Q: Find the interval of convergence of (-1) (Give your answer as an interval in the form (*.*). Use the…

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Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

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Q: Problem Number 2 Find the relative extrema and sketch the graph of the function f given by f(x) =…

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

Q: Evaluate the indefinite integral below. | 7 dy 7y In(y) + C

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Q: Use Newton's method to approximate a root of the equation 4x7 + 4x4 + 2 = 0 as follows. Let x₁ = 2…

A: we have given f(x)=4x7+4x4+2

Q: Exercise: Separate the variables and solve 1- x(2y-3)dx + (x² + 1)dy = 0

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Evaluate the indefinite integral below. Jo (10ex - e4) dx 4 10e +ex + C

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Q: Find the coordinates of the point (x,y) on the curve y=2x+1 that is closest to the point (6,3) .{…

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Q: ABCD is a parallelogram with diagonals AC and BD intersecting at E. A D E C B

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Q: Let 27- (3,4,4) and 7=(5,-3,2). Find a non-zero vector w that is perpendicular to both and Answer: W…

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Q: 1 0.5 0 -0.5 -0.5 y 0 0.5 1 7.5 7 6.5 Z Find the surface area of the portion of the bowl z = 6 + x²…

A: The given surface is: z=6+x2+y2 and the equation of the plane is:z=8

Q: Find the critical point of the function f(x, y) = 2 + x + x² – 4y – 3y² This critical point is a: ✓…

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Q: . lim e²x-1 X30 3x+4 sinx

A: given limit is of 00 indeterminate formso, apply the L'Hospital's rule to solve the limit

Q: Find the cost function if the marginal cost function is given by C'(x) = ×^1/3 + 2 and 64 units cost…

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Q: (3) Using differentials, approximate the value of ₹28.3. Give your answer to 4 decimal places.

A: We are authorized to answer one question at a time, so we are answering the first question, please…

Q: Suppose that f(2)=-5, g(2) = 2, f'(2) = -3, and g'(2) = 1. Find h'(2). (a) h(x) = 2f(x) 4g(x) h'(2)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Let f(x) = x³ + 9, g(x) = x² − 7, and h(x) = 2x + 6. Find the rule for the function. fg h

A: I am attaching an image so that you understand each and every step.

Q: To test the series to the p series 1 for convergence, you will use the Limit Comparison Test,…

A: The given series ∑k=1∞14k2+8k11. We have check the convergence of the series, using a limit…

Q: Determine if the serie is divergent or convergent, explain

A: Given: ∑n=2∞n(-2)2n7nn2+1 We are required to find: The given series is convergent or divergent.

Q: Part 1: Partial Fractions Use the partial fractions method to express the function as a power series…

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Q: K Pertorm the indicated operations. Leav (7-(x+1)/(x))/(9+(x-1)/(x+1))

A: To perform the indicated operations, we need to simplify the given expression. First, let's simplify…

Q: Find √ √ (4x + 5y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0}

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Q: Find the area bounded by the indicated curve and x-axis. y = x², x = 1, x = 9

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Q: To find the volume rπ/6 π/2 ** 6*¹²²p² sin(p) dp do dop, we first calculate the innermost integral.…

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Q: Solve the following differential equation by using integrating factors. (1 + x^2)y' = y - 7, y(0) =…

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Q: For the function f(x) = x³ - 2x - 5, write Newton's formula as n+1 = F(xn) = xn - solving f(x) = 0.…

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Q: Consider the polar curve r = 20 + cos(0) for 0≤ 0≤ 2л. (a) Find the area in the second quadrant…

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Q: Let A = 1 - 100 2-100 0010 -1 1 0 1 Which of the following statements is true: 1. The columns of A…

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Q: Evaluate Mex (x + y + z) dV, where E is the solid in the first octant that lies under the paraboloid…

A: ∬∫E(x+y+z)dV where E is the  forst octant that lies under the paraboloid z=16-x2-y2

Q: Use spherical coordinates. Evaluate J xex trẻ tr + + dv, where E is the portion of the unit ball x2…

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Q: Consider the equation. Explain your answer and how the theorem applies in each part. x³ + e* = 2 a)…

A: We have given a equation. We have to use theorems to prove that there exists a real and unique…

Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…

A: To find the demand function for the marginal revenue function. To recall that if no items are sold,…