20. Use the graph of y² = 9x + 9 to determine what type of symmetry the graph displays. 3r

Q: g(b) Use the substitution formula [f(g(x))g'(x)dx= [ f(u)du where g(x) = u, to evaluate the…

A: By using substitution method, we will find the integration.

Q: Sigma nota 10 a. Σκ k=1 4 c Σκ C. k=1 3 e. Σ m=1 k² 2m + 2 3 5 g· Σ (2p + p?) 2

A: 49)a) series is k, k from 1 to 10c) series is k2, k from 1 to 4e) series is (2m+2)/3, m from 1 to…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = (y² + 2)³/2,…

A: The area of the surface of revolution of  rotated about the x-axis on  is:

Q: The pollution level near a dump site has been modeled by the equation P(t) = 0.05 +0.12e0.32t, where…

A: Given,

Q: 4. Solve the following linear systems. 21 + 2x2 2x1 + x1 (a). - 22 x2 x3 3 + 24 = 4 x4 1 + x3 +

A: The system Ax=b is,The augmented matrix is,The reduced system is,The general solution is,

Q: Find the total area of the shaded region. Ay 24- 22- 20 18- 16- 144 12 10- 8- 6 y=x y=12 Ту *² 48 8…

A: To find the total area of the shaded region.

Q: A stone was dropped off a cliff and hit the ground with a speed of 152 ft/s. What is the height of…

A: A stone was dropped off a cliff and hit the ground at a speed of 152 ft/s.

Q: Find the limit if it exists. (If an answer does not exist, enter DNE.) x² lim (x, y) → (0, 0) (x² +…

A:

Q: For the function f(x, y) = x^2 + kxy + y^2 where k is a constant, determine if f(x, y) has any…

A:

Q: You are standing 12 feet away from a balloon launcher that will release a balloon vertically up into…

A:

Q: Find the volume of the given solid region in the first octant bounded by the plane 4x + 8y + 2z = 8…

A:

Q: An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to…

A: from the given statement

Q: If the quotient is positive, which of the following must be true? (A) a>0 (B) b>0 (C) ab>0 (D) a-b>0…

A: The objective of the question is to determine which of the given conditions must be true if the…

Q: 5. [15 pts] Given cos a = -, a in Quadrant III, and sin ß= 1, 3 in Quadrant II. a) Find sin(a+ß). b)…

A: D

Q: For the function below, approximate the area under the curve on the specified interval as directed.…

A: we have given function

Q: Suppose sin(theta) = 3\5 and theta in quadrant 2. Find the exact value of the following. Solve with…

A: Given:, where   is in 2nd quadrant.To find:To find the exact value of the following.Note: Since, the…

Q: Find f'(x). f(x)=e17x f'(x) =

A:

Q: So 1.50 F. dr where F = (3z, -4y, -3x), and C is given by F(t) = (sin(t), t, cos(t)), 0≤t≤π.…

A: We use the concept of line integrals to find the work done by the force vector F along the curve C.

Q: y" + 2y + 17y = 0

A: The given differntial equation is

Q: The amount of charge passing through a surface, given by a function Q(t), is measured in coulombs C.…

A: Given:To Find: To amount of charge that passes through the surface after 10 seconds.

Q: 7. Find the parametrized equation for the intersection line of the planes 2x+y-z=1 and 4x - y = 3.

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Q: y=x149+x2 Ау 35- 28- 21- 14- А X

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Q: for 4. Sketch the graph of the function on the given interval. h. Calculate Ax and the grid points…

A:

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: The expression of the second derivative of the function is given byTo determine: The expression of…

Q: Question 3.72) Consider the rotated ellipse x² - xy + y² = 108 shown beside. dy A) Use implicit…

A:

Q: Find the first partial derivatives of the function z = (2x+6y)¹2. dz dr 1. 2 dy

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Q: A. Use the Maclaurin Series with n=4 to approximate cos(2.1) to 4 decimal places. B. Using your…

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Q: Evaluate the integuel 99.9 x dv the octant z ≤ 2-y iii) //2₂ i) 0 ii.) - 2 st 1 ivə 1 where OC VJ 4…

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Q: Əw Əv y Find when u = 0, v = 0 if w=x² + Əw Əv |u= 0, v = 0 " x=4u-2v + 1, y = 2u + 6v - 1. =…

A: Consider

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 2 cos 0 lim…

A:

Q: *The total revenue function for a blender is R(x)=36x -0.01x² where is the number of blenders sold.…

A: The given revenue function is The average rate of change of function f(x) over the interval  is

Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are…

A:

Q: How about the solution for #5?

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Q: Use the Fundamental Theorem of Calculus to find the derivative of the following function 5 F(x) = [²…

A:

Q: 4. Solve the following inequality. Write the answer in interval notation. (x + 5) (x - 3)²(4x +3) >…

A:

Q: Graph the polynomial P(r) = ³ + ² -5r +3 using calculus by showing the given steps: (a) Find the r-…

A:

Q: Given the graph ƒ(x), find ³5 f(x) dx using formula(s) from geomet

A: We have to find the integral value.

Q: Evaluate the following integral in cylindrical coordinates. 379-x- 4 jjj 1 -3 0 01+x^+ 3√√9-x² 4 -dz…

A: The given integral is

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

A: The given function is  The formula for

Q: Find the area of the region enclosed by the curves y=x² - 6x and y = − x² +6x. The area of the…

A: Consider the curves

Q: The function s(t) describes the position of a particle moving along a coordinate line, where s is in…

A:

Q: Use the limit definition to find the slope of the tangent line to the graph off at the given point.…

A: By using the limit definition to find the slope of the tangent line to the graph of  at the given…

Q: 5. L 6. L S S+2 2 S² + 4s +3 S+2 (s² + 4s+6)² 2

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Q: 2. Use limits to determine if the the following sequences converge or diverge. If the sequence…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Given: (x is number of items) Demand function: d(x) = 360 - 0.5x² Supply function: s(x) = 0.4x² Find…

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Q: Reverse the ร fit 4 O √5x sle should order dy be of integration 18 doc dy for

A: To reverse the order of the following integration.

Q: Given: (x is number of items) Demand function: d(x) = 588.7 — 0.2x² Supply function: s(x) = 0.5x²…

A:

Q: Graph the polynomial P(x) = x³ + x² - 5x + 3 using calculus by showing the given steps: (d)…

A:

Q: Let f(x) = x³ - 2x² - 5x + 6. If x = 1 is a zero of f(x), use the Factor Theorem and synthetic…

A:

Q: A baseball team plays in a stadium that holds 52,000 spectators. With ticket prices at $10, the…

A: First of all, let's describe attendance x in terms of the ticket price P.  Find the linear function…