Given two vectors A = 21 + 3j - 2k B= 31- 4j – 6k Determine the vector that defines the direction of the resultant.

Q: Evaluate the integral by making an appropriate change of variables. 2 sin(25x2 + 36y2) da, where R…

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Q: -2Y 1) e ** dx-e dy =0; y=0 when x=0

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Use the given graph of f to find the following. (Enter your answers using interval notation.) 2- 2 4…

A: As per the instruction, we will be answering only the first three subparts. Given the graph of f:…

Q: 00 Ž (2n)!n 32. it n = 1 n

A: Let's find.

Q: 1. Sx² e**dx

A: 1. To determine ∫x2ex3 dx

Q: (a) Find an equation of the tangent plane to the surface at the given point. хуz %3D 6, (1, 2, 3)…

A: The solution is given in the next steps.

Q: =[cosh" (xe- coshza-X 4. Cosh 20- X 2.

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Q: The demand function for a certain commodity is given by p = 100e−q/2. (p is the price per unit and q…

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Q: 12 S sin e (coto csc@) do

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Q: (13 -3x + 8 ) dx

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Q: 1. Find the area under the curve of y on the interval [1, 4).

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Q: Suppose f(x, y) = x² + y? + x?y+ 2 and D = {(x, y) : |x| < 1, |y| < 1}.

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Q: 8x Find the power series for f(x) = in the form an. (1- x*)? n=1 Hint: First, find the power series…

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Q: O Analyze the graph of fex), then ansuwer the questions. FOX Coriginal function graph) maximum5)…

A: From the given graph we can conclude that - --&gt;  f(x) has local maximum at x=0       and the…

Q: What is the spherical excess of a spherical triangle whose angles are all right angles

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Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) Su d 125? V u? +4 + u²…

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Q: 1. Prove using vectors that the points (4, 3, 0), (2, 0, 1), (4, 1, -1), and (2, 2, 2) are the…

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Q: dx 1. 5+x2 dx 2. V4-9x2 dx 3. х V16х2-25 dx 4. x²+4x+13

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Q: For the function f(x) = find f'"(x). Then find f"(0) and f"(4). 3+ x f"(x) =| Select the correct…

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Q: Evaluate the iterated integral. (Use symbolic notation and fractions where needed.) II (x² – y²) dy…

A: To evaluate the iterated integral.∫02∫05x2-y2 dy dx

Q: In the recent "Asian War" in the South China Sea, the allied forces captured 6,400 of China's…

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Q: For a certain automobile, M(x) = - .015x+1.25x-7.5, 30 sxs 60, represents the miles per gallon…

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is  first, we…

Q: f(g(x)) = 7(x³ + 6)7 and g(x) = x° + 6, find f(x). f(x) = %3D

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Q: Find the values of xER for which the function given below is both defined and continuous. f(x) = In…

A: f(x)=ln(x-9)Since f(x) is log functionIt is defined for all( x-9)&gt;0⇒x&gt;9

Q: Find the intervals of concavity and inflection points of the function f(x) = x4 – 12x³ + 54x² – 1…

A: Given:      fx=x4-12x3+54x2-1   An Inflection point is a point on the graph at which the second…

Q: Evaluate the integral R xe*y dA, where R = [0,4] × [0, 3]. (Use symbolic notation and fractions…

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Q: Let f be the function x + 9 for x 2 Find the value of c that makes the function left-continuous.…

A: This question can be solved using the concept of left and right continuity.

Q: Use the given graph of f to find the following. (Enter your answers using interval notation.) -2- 2…

A: Let's find.

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A: see below the answer and calculation

Q: Use the First Derivative Test to find the local maximum and minimum values of the function. y = 2x2…

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Q: Given the following function: 5x2 + 4 f(x) = 2x + 10 Step 1 of 2: Findf(4). Answer f(4) =

A: To solve this question, we will simply put x=4 in the function f(x).

Q: Let A = {2, 3, 4, a, b, t}, B= {4,2, 3, 6, t, c}. Then the cardinality |AN B|is %3D Select one: O 6…

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Q: graph of Fex) Include all intercepts, asymptotes, extreme points (max/mins) and infléction poin

A: Solve the following

Q: Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are semicircle…

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Q: Find the equilibrium point for the supply and demand functions below. Enter your answer as an…

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Q: Calculate the Taylor polynomials T2 and T3 centered at a = 3 for the function f(x) = x* – 3x. (Use…

A: The given function is:fx=x4-3xWe need to find the Taylor polynomials T2 and T3.

Q: Evaluate the integral . In 3 S. Jo Cery) dy dx In4

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Q: A produce grower is purchasing fertilizer containing 3 nutrients: A, B and C. The minimum weekly…

A: (a) Write down the LP Model. In Blend 1,the number of units of the nutrient of A is 2n .In Blend…

Q: The distance that a free falling object falls is directly proportional to the square of the time it…

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Q: From a helicopter flying at 30,000 feet, the angles of depression of two cities are 28 and 55. How…

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Q: Determine at which points f(x) is discontinuous. f(x) = X-81 The function f(x) is discontinuous at x…

A: f(x) is discontinuous at points where f(x) is undetermined.

Q: Let f(x) 2x3 + 9x2 108x – 5. Calculate the derivative f' (x) = Calculate the second derivative…

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Q: Use the additivity of moments to find the COM of an ice cream cone consisting of a semicircle of…

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Q: The differential equation d y 3x4 2- (3 In x)y = - dx2 is a Bernoulli's equation. Select one: O True…

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Q: 3. Let f(x) = 1+x + x² + x° +x* + x°. %3D Find T3(x), the Taylor polynomial of f at r = 0 with…

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Q: 4. Convert the vector (2. 3, 4) into the i and i form. Then find its magnitude of the vector.

A: Vector form of a point (a,b,c) is given by v→=ai+bj+ck and magnitude of this vector is given by,…

Q: d'y Find dx2 (a) y = 8x³ – 5x² + x dy dx? (b) y = 7x² – 2x + 9 - dy dx? x + 6 (с) у %— dy dx? (d) y…

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Q: 23n (n!)3 30. (3n)!

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Q: VI. In each of the following, find the moving trihedral of the curve r (t) at the indicated value of…

A: As per bartleby guidelines we only give first question answers.

Q: dx 5. S- (4x – x2)°/2

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…