1. For the function of three variables f(x, y, z) = sin(xy) + cos(yz) + tan(zx) calculate the partial derivative with respect to x, the partial derivative with respect to y and the partial derivative with respect to z

Q: 1+x 1-x f(x) = ln(-

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Q: piete followi steps giver a. Sketch the graph of the function on the given interval. b. Calculate Ax…

A: fx=2x2 on [2,7] n=5

Q: Use Green's Theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

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Q: +2 3x-1 y = G

A: To find out the derivative by the use of quotient rule.

Q: If F(x) = ²* 5t¹ dt), da determine the value of F(1). 1. F(1) = 3 2. F(1) = 6 3. F(1) = 60 4. F(1) =…

A: We have F(x)= differentiation of integration of 5t4 with respect to t and limit from 0 to x3 We have…

Q: Evaluate the double integral f, xydA, where region D is boun line y = 1, x = 2 and y = x.

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Q: Write the terms for the series. Evaluate the sum, given that x₁ = -2, x₂= -1, x = 0, x₁ = 1, and x =…

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Q: Find an equation for the tangent line at the point P (1, ƒ(1)) on the graph of f(x) 2x² + 3x + 4. =

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Q: Consider the following. x = 2 cos(8), y = sec²(0), 0≤ 0 <1 T 050< (a) Eliminate the parameter to…

A: In first question  We have  to find cartesian equation of given trigonometric form of equation    In…

Q: Determina si el diagrama de dispersión podría modelarse mejor con un modelo lineal, un modelo…

A: We havee to find the solution of x3-2x+4=0

Q: Find the area (in square units) of the region under the graph of the function f on the interval [0,…

A: Given data:- the function   f(x)=7ex,     [0,3]

Q: If cos(t) = 1. cos(2t) 4 = 2. sin(4t) = || || = where t = [0, 90], determine

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Q: Find the following coefficients. 0 Co C1 C3 = C₂ = C4 = || = 2/3 -10/0 -18800 = 8 1 108 4! 8x x + 12…

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Q: 1. Hyperbolic Functions. Prove the identity coshx-sinh x = e-*

A: Coshx = ( ex+e-x)/2 Sinhx = ( ex-e-x)/2

Q: Find inequalities that describe the solid and state the coordinate system used. Position the solid…

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Q: Use f(x) = 12(1 + 4-X) to answer the questions. (a) Find the equation of the horizontal asymptote.…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [1,…

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Q: 6. Find the maximum and minimum values of subject to the constraints f(x, y, z)= x+y+z² x+y+z=1 and…

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Q: Find the area of the portion of the paraboloid x = 10-y² - z² that lies above the ring 1 < y² + z²…

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Q: Find the antiderivative for the following function. f(x)=4√x + 1/x2

A: f(x)=4x+1x2

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A: The position vector and the formula for the velocity is given by÷

Q: Find the area of the surface. The portion of the sphere x² + y² + z² = 400 inside the cylinder x² +…

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Q: Consider F and C below. F(x, y, z) = yzexzi + exzj + xyexzk, C: r(t) = (²+1)i + (²-2)j + (t²- 5t)k,…

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Q: use the limit process to find the area of the region between the graph of the function y=16-x^2 and…

A: Given data:- y=16-x2,  -4, 4 Find:-  The area of the region between the graph of the function…

Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

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Q: Find an equation of the slant asymptote. Do not sketch the curve. x +² 11 f(x) = +4 x + 4

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Q: Identify the points on the graph where the absolute extrema occur.

A: We have to find the points where absolute extrema occur.

Q: Use spherical coordinates to evaluate 1-²1-x²-x² 2-y2 (x² + y² + z²)² dz dy dx

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Q: Find the equation of the tangent line at the given value of x on the curve. 4y³(x-5)+x√√y = 5; x = 5…

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Q: The graph of f consists of line segments, as shown in the figure. Evaluate the definite integral…

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Q: It was shown in class that the closed cylindrical can of maximal volume that may be constructed to…

A: Given that , Surface area = SA units2

Q: Evaluate the integral ² I = (4+ 6y-y²) dy.

A: I=∫034+6y-y2dy

Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of…

A: Given Data: The volume of the storage shed is: V=729 ft3 The cost of base concrete is: Bc=$5 per…

Q: A sinking fund is established to discharge a debt of $30,000 in 15 years. If deposits are made at…

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Q: On the interval [0, 8] the continuous func- tion f has graph 6- 21 2 4 I 6 Determine the value of…

A: The graph of the function f(x) over the given interval 0, 8 is:

Q: ivative for the following function. f`(x)=4xm+4xm+c

A: The derivative of a function f(x) is given as f`(x)=4xm +4xm +c Combine likewise terms  f'(x)=8xm +…

Q: Evaluate the definite integral I = */2 5." (cos x + 5 sin x) dx. 1. I = 4 2. I=5 3. I = 3 4. I = 2…

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Q: Prove the identity. tanh(In(x)) tanh(In(x)) 11 = eln(x) cosh (In(x)) x² - 1 x² + 1 2 (eln(x) +…

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Q: b. Does the sequence an n converge or diverge? Justi

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Q: Find the partial derivative of f(x, y) = 2x³ - 3xy + y² with respect to x at the point (1, 6, 20).

A: A partial derivative of a function of several variables is its derivative with respect to one of…

Q: 3. Find the absolute extrema of the following function on the indicated interval. f(x) = x³ - 3x on…

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Q: Calculate the definite integral. 2 0 2 0 7e - 5x 7e - 5x dx = dx (Type (Type an exact answ

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Q: dy = y(1+ex) dx

A: Given data

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F=…

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Q: Find a function y(x) such that 2yy' = x and y(2) = 6. y

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Q: Problem 3. Find the arc length of the semicircle y=√√9-x from (√5, 2) clockwise to (√5,2). (cf. page…

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Q: Find the general solution of the differential equation using separation of variables. y' = y² (1 −…

A: y'=y21-6x2

Q: h(x) = 3,4*

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Q: Problem 2. Find the volume of the solid generated by revolving the region bounded by y=√x, y=0, and…

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Q: Find r'(t), r(t), and r'(to) for the given value of to- r(t) = (e², e²t), to = 0 r'(t) = r(to) =…

A: rt=et,e2t,t0=0