Examine the function for relative extrema. f(x, y) = |x + y| − 5 (x, y, z) =

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Q: (b) Find the 243rd derivative of f(x) = sin(3x) 3

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Q: Evaluate the triple integral. III TV where G is the rectangular box defined by the inequalities T…

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Q: Use the matrices below to perform the indicated operation if possible. If the operation is…

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Q: Find ff f(x, y) dA where f(x, y) = 3x + 1 and R= [0, 3] x [1,3]. R SSR f(x, y) dA =

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Q: Find the linear approximation of the function f (x, y) x² + y² at the point (2,-1, 1)

A: Given function:- fx,y=5x2+y2

Q: 2. 6-13x + 5x² 4. m¹m² - 12

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Q: Evaluate the definite integral. π/2 x² sin x [12²232² -π/2 1 + x8 - dx

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A: Graph of the region is given and it is rotated about x-axis, We have to find its volume.

Q: Implicit Differentiation using f, fy & f Let 20x² 1 dy dr dy Use partial derivatives to calculate at…

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Q: et F and G be vector-valued functions such that (t) = (cos(πt), e²t−1, t² − 1), Ġ(1) = (1,1,−1),…

A: Given:- F→t=cosπt,e2t-1,t2-1 G→1=1,1,-1 G→'1=2,3,2

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. IRL -144 yz dx dz dy =

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

Q: satisfying the initial conditions y(1) = −4, Answer: y(x) Your answer should be a function of x. -…

A: The given differential equation is; x2y''+5xy'+4y=98x5, y(1)=-4, y'(1)=21.

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Q: [Same scenario as Problem #5] An object thrown vertically upward from the surface of a celestial…

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Q: Calculate directional derivatives and gradients in three dimensions. Find an equation for the…

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Q: Question Let h(x) = f(x)g(x). If f(x) = x² – 2x − 2 and g(x) = -4x, what is h'(x)? Select the…

A: To find the derivative of the given function.

Q: F(s) = - A the in 3 B 55/2 S 3 -1/2 There is no correct answer from the given choices. D √₁ given…

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Q: (b) lim (x,y)→(0,0) x² + y² √√x² + y² + 1 − 1

A: Given limit is limx,y→0,0x2+y2x2+y2+1-1 We need to explain why this limit doesn't exist.

Q: to Use logarithmic differentiation And the derivative, (ar ²-1) 5 -f(x)=√√√²+3x-1

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Q: Please show your answer to at least 4 decimal places. 4x Determine the gradient of f(x, y) = e¹*…

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

Q: Please snow your answer to at least 4 decimal places. 4x Determine the gradient of f(x, y) = eª*…

A: Given, f(x,y) =e4xsin(4y)    Find gradient at (x,y)=(1,2)

Q: -3x+6y = 9 x-2y = -3

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Q: Given that h(x) = f(g(x)), use the graphs of f(x) and g(x) to find h'(3). -0.5 [A] 0 3.5 3 2:5 2 1.5…

A: Given that h(x) = f(g(x)) The graph of f(x) and g(x) is given as

Q: the reference angle of an angle -145 degree?

A: We have given angle  Let, θ=-1450 Coterminal angle is given as θc=3600-1450 θc=2150 So, θ=-1450 lies…

Q: Determine whether f(x) = = -4x² + 16x - 2 has a minimum or maximum value, and find the value of the…

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Q: Use the graph to locate the absolute extrema (if they exist) of the function on the given interval.…

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Q: Use the matrices below to perform matrix multiplication. B = 27 3] 14 -10 0 12 || |- 4 -3 5 10 6 8

A: Number of  column in B =3 = Number of Row  in   C  so, matrix multiplication is possible

Q: Find the general form of the quadratic function that has a vertex of (-4,-1) and a point on the…

A: Equation of quadratic function having vertex (-4,-1)

Q: Let-202²-11zy + 3y²-672-36y - 39 = 0. dy Use partial derivatives to calculate at the point (-3,-2).…

A: Derivate the given equation with respect to x and then put the given point.

Q: Suppose that f(x, y) = x³y². The directional derivative of f(x, y) in the direction and at the…

A: To find directional derivative of given function.

Q: 9.) If y=xe, then find d" y dx" 10.) Find h'(x) if h(x) = f(x³).

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Q: Let z(x, y) = xey where a = Calculate da dt = = = t³ & y = 2 + 2t. dz dt = dy dt Now use the chain…

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Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

A: Here position of particle represents by xt Then x't is velocity/speed of particle  so particle speed…

Q: Give two points, as ordered pairs, that are not in the domain of this function.

A: Domain: A set of values for which the function is defined is called Domain of the function. So the…

Q: An object thrown vertically upward from the surface of a celestial body at a velocity of 12 meters…

A: Solution ) s(t) = -6t2 + 12t  Differentiate  with respect to t  s'(t) = - 6 × 2t + 12  [ formula…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. || y=…

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Q: Chain Rule (One independent variable) Let z(x, y) = 2e* sin(y) where x = t' & y = 5mt. Calculate by…

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Q: Use the e-6 definition of continuity to prove that the following functions are continuous at the…

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Q: 63-68 Find the slope of the tangent line to the given polar curve at the point specified by the…

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Q: 3. For Z= xtanxy,evaluate Zyy

A: The given function Z=x tanxy We have to find Zyy.

Q: 3 Find y" if y=4x° +3x³ −8x³ +6x² +15

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Q: In the previous Problem Set question, we started looking at the position function s(t)st, the…

A: Consider the position function s(t)=e5tsin(7t)   Formula  v(t)=ddt(s(t)) Product rule of derivatives…

Q: Test each of the following equations for exactness and solve the equation. The equations that are…

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Q: use the appropriate compound interest formula to find the amount that will be in each account, given…

A: NOTE: Refresh your page if you can't see any equations. . P=27500 (invested amount) r=3.65%=0.0365…