Find the derivative of the function at Po in the direction of A. g(x, y, z) = 3e* cos yz, Po(0, 0, 0), A = 21 + j – 2k

Q: 3 Given the curve y= x and the line V= 4x in quadrant 1 Find the area of the region bounded by the…

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Q: Find the measures of the angles of the triangle whose vertices are A = (- 3,0), B = (2,1), and C =…

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Q: Determine the volume of the solid that will be generated by revolving the area bounded by the given…

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Q: Find the following for the vectors u = 6i – 5j + 7k and v = - 6i + 5j - 7 k. a. v•u, v|, and u b.…

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Q: 4. Find the derivatives of the following functions. Do not simplify your answer! d (a) sec x dr V +1…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: From the top of a 550-foot cliff, a hiker looks down at a river below. Her angles of depression to…

A: topic - application of trigonometry

Q: Which of the following triple integrals evaluates the volume of the ssolid that lies above the…

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

Q: Determine all the relative minimum and maximum valucs, and saddle points of the function h defined…

A: Given

Q: Use the numeric integration feature on your calculator to find the integral. 4. 27) A) 0.88623 B)…

A: We can find the answer as below.

Q: In AABC, mZA = 32°, mzC = 110° and %3D side c = 750. What is the approximate %3D length, to the…

A: To find out the length a.

Q: S 2æe3= dx ,3z 9.

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Q: Find the equation of the tangent line to the graph xy^2 − 2y = x^2 at the point (2, −1).

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Q: Let U be the universal set of natural numbers less than 11. Consider the following two sets. A = {2,…

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Q: Sketch the graph of a function f with domain [1,5] satisfying all the following conditions: •…

A: This question can be solved using the concept of nature of graphs.

Q: Siven the curve X = 2 y – y´ and the line X = 0 ind the area of the region bounded by the curve and…

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Q: Find the composite functions (f o g) and (g o f). What is the domain of each composite function?…

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Q: Q2 Find the area of the regien bounded by the following curves -4x . y? = 3 - x and y = %3D

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Q: Given the vectors v and u, answer a. through d. below. v = 2i + 3j – 6k u = 5i + 12j

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Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 1+ +(…

A: Use geometric series to check the convergence

Q: Find * L(sin? at) 2

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Q: 1 g(x, y) = cos (Tx VT) + log3(x – y)' Calculate the instantaneous rate of change of g at the point…

A: To solve the following problem

Q: S 12e4z dx

A: Given integral is  ∫12e4x dx. To solve the integral we know about the integration of exponential…

Q: Evaluate using a table of integration formulas. 5 dx 24) XV36 - x2 X-6 +C X +6 A) In +C B) In 12 6 -…

A: Solve the following

Q: Find the integral. 4 25) x4 In 2x dx C) 391.74 D) 466.83 A) -202.72 B) 384.91

A: This question is based on integral by parts.

Q: dz dz and ду Suppose z is a function of x and y, and tan Vy² + x² = z*e®y. Solve for

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Q: Find the area of the region bounded by the graphs of f(x) = x^2 − 4x + 3 and g(x) = −x^2 + 2x + 3.…

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Q: I. Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x + y…

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Q: 2x2 If we approximate f(-/4.1,/49.1)' Suppose we have a surface f (x,y) ,which of the following is…

A: I have appended the formula used in the solution part.

Q: Question #1 C1:“Graph a variety of functions, including piecewise functions, and evaluate limits…

A: We need to solve limit problem.

Q: ĐUse the fuler method's Solve the: 5.525ー0 ら10)=1 hこer

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Q: Evaluate the line integral. The simple curve is C is y = x² starting at (0, 0) and ending at (1, 1).…

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Q: Given the curve x = 2 y – y´ and the line x = 0 Find the ordinate of the centroid y of the region…

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Q: Given the curve y = x' and the line y = 4x in quadrant Find the ordinate of the centroid y of the…

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Q: x2 +1 dx = (x³ + 3x +6)

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Q: x = 3 is a critical number of the function f(x) = (x+ 3)(x - 3)2. Select one: True O False

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Q: Solve fx² In(x) dæ using Integration by Parts. Use u = In(x) and v = x?. Answer:

A: Topic = Integration

Q: elevation of the sun slope of the hill A flagpole is on a slope that rises 10° from the horizontal.…

A: Given  Slope of hill α=10° Angle of elevation from slope β=39° Length of shadow on hill slope L'=24…

Q: Find the area under the graph of the function over the interval given. 18) y = 2x +7; [1, 5] A) 18…

A: We can find the area as below.

Q: Lagrange Multipliers will be used in order to solve the following: Maximize f(x, y, z) = 4.x + 2y +…

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Q: 2 | Vxe-*dx хе ах

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Q: Find the sum of the series. n=1

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Q: Valuate the following integ 1 fcos' 2xdx 1.

A: Solution: As per our guidelines we are supposed to answer only? One question ( if there are multiple…

Q: 12 – r|, 2. Suppose f(r) = {0, if a > 2 if r = 2 14 – 22|, if r < 2. (a) Find lim f (x). z+2+ (b)…

A: a)limx→2+ f(x)=limx→2+ 2-x=limx→2+ 2-2 =0b)limx→2-  f(x)=limx→2- 4-x2=limx→2- 4-4 =0

Q: Find the asymptotes of the functians and serch theems 2. Y x-3

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Q: Solve the system -8 6 dx dt -4 2 with the initial value 14 x(0) = x(t) =

A: Let's find.

Q: .et D be the region that is bounded by the surface z = x2 + y? and the plane z = 4. -) Find the…

A: Parameterize the xy plane and find limits of triple integral then evaluate the above integral.

Q: Let A = {10, 8, 3, 5, 7, 9} B = {6, 8, 5, 1} and U be the universal set of natural numbers less…

A: A = {10, 8, 3, 5, 7, 9} B = {6, 8, 5, 1} U={1,2,3,4,5,6,7,8,9,10,11} Now, A'=U-A…

Q: The graph of the derivative y = f'(x) of f(x) is given below. According to the graph, we have f(0) >…

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Q: State the domain, vertical asymptote, and end behavior of the function. h(x) = - log (3x – 4) + 6…

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Q: Write the system of equations corresponding to the augmented matrix. Then perform the row operations…

A: This question can be solved using the concept of augmented matrix.