Find the domain of the function. f(x)= x-1 X+2

Q: 4. Let f(x, y) = (a) (1,-1). Find the slop of the surface z = f(x, y) in the x-direction at the…

A: given function

Q: Use the Gauss-Seidel iterative method to solve the following system of equations. Remember to show…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x²² In(x),…

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Q: (3) Find the general solution of the following different equation (2x³ − xy² −2y + 3)dx − (x²y + 25…

A: Given Differential equation

Q: The answers for N[T(t)], t=2hr, and t=5hr are wrong.

A: Given:To find: (a) To compute .(b) To find the number of bacteria present when .Note: After seeing…

Q: The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of…

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Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t),2t, 3sin(4t)] when t = 0. :

A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…

Q: A 13 ft ladder is leaning against a house when its base starts to slide away. By the time the base…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Verify that the given point is on the curve and find the lines (a) tangent and (b) normal to the…

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Q: If what are the bounds of integration for the first integral? a= 11 [ f(a)d= = [ f(x) dx + " f dx […

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:…

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Q: Solve the following non-homogeneous differential equations: x" (t) + x(t) = 2 cost 1) -X 2) y"+2y+y…

A: The given differential equation is; x2y''-2xy'+2y=xlnx

Q: Calculate the L4 approximation for f(x) = cos² x on TU I 4 2

A: The left Riemann sum∫abf(x)dx≈Δx(f(x0)+f(x1)+f(x2)+⋯+f(xn−2)+f(xn−1))Δx=b−an

Q: 1. Solve dy_3-x-y x + y €1 dx 11

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Q: Consider the following differential equation to be solved by the method of undetermined…

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Q: If what does the following integral equal? 4 19 q(s)ds = [ q(s)ds = 13 and La q(s)ds = 10.7

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. 4 f(x) = x +-…

A: Critical point of the function is the value of the function at which derivative of the function is…

Q: Sales The profit for a product is increasing at a rate of $5600 per week. The demand and cost…

A: The profit for a product is increasing at a rate of  per week.The demand and cost functions for the…

Q: Evaluate the double integral [[ (zy + 2) dA, where D is the set of points contain within the corner…

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Q: Profit The profit P (in dollars) made by a cinema from selling & Bags of popc x² 28,000 3,300, 0≤x≤…

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Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) =x² + y² subject to the…

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Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane x+y=5,…

A: Equation of plane : and equation of cylinder : Find the volume of the region in the first octant…

Q: 4. A water tank in the shape of an inverted cone has height 92 cm and radius 60 cm. If the water…

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Q: Suppose that P(t) (with t in months), the fish population in a lake contaminated by chemicals,…

A: Given Differential equation as follows

Q: Find the surface area of the part of the plane 4x+3y−z=2 that lies above the box 2≤x≤5,   2≤y≤6…

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Q: Find the points on the curve where the tangent is horizontal or vertical. You may want to use a…

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 4 + x² -…

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Q: (a) The graph below is the derivative of f(x), but you are answering questions about the parent…

A: Note: As per our guidelines we are supposed to answer only first 3 subparts.If there are multiple…

Q: ∞ Σ7(-0.8) is an alternating geometric series, which k=0 diverges converges. Σ7(-0.8) k - k=0 Enter…

A: To determine whether the alternating geometric series diverges or converges.

Q: Suppose $23,000 is invested in an account with an APR of 4.9%. If the interest is compounded…

A: Here we have, P=23000r=4.9%=0.049t=10 years.The compound interest is given by,

Q: For the given double integral, sketch the region of integration and write an equivalent double…

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Q: Consider the following. 8n 77 Calculate, to four decimal places, the first ten terms of the sequence…

A: The sequence is given by :-

Q: Estimate f (5.06) for f as in the figure. y=f(x)/ ƒ (5.06) ≈ (4,2) (10,4) Tangent line X (Give your…

A: The figure is given as,Estimate

Q: Let f(x) = -x+7 and g(x) = x^2 -2 evaluate the expression f(g(1))

A: We have to find f(g(1)) for the given function. It is a example of composite function. We replace x…

Q: For which value of t does the line given by the parametric equations x = t -1, y = 1+ 2t, z = 3 - t…

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Q: Find the general solution of the ODE: y' y²-6y+10 = 1 =

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Q: Give the partial fraction decomposition for the following function. 2 x²-2x-8 2 2 x-2x-8 ||

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Q: K An apple farm yields an average of 43 bushels of apples per tree when 23 trees are planted on an…

A: We solve the given problem by using the concept of derivative.

Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t), -t, -4sin(3t)] when t = 0. (b)…

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Q: What is the center of the sphere given by the equation x² - · 6x + y² – 2y + z² +82 +17 = 0? -…

A: The standard equation of a sphere is given by  where (h,k,l) is the center of the sphere and r is…

Q: If f(x) = f'(x) = ƒ'(1) = = 2 sin x 3 + cos x > 3 cos (1) () then 3 cos (x) + sin(x) (3 + cos x)² X…

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Q: 6. Let f(x, y) = sin(x + y). Answer the following questions. (a) ) Find the gradient f(x, y). (b)…

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Q: (a) Find and sketch the domain of the function f(x,y)=√x-1+√y-4

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Q: Find the critical numbers and the open intervals on which the function is increasing or decreasing.…

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Q: Evaluate the following integral. 36 2 x - 36 36 x²-36 2 dx= dx

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Q: S Write an equation for a line parallel to y y = -4x + 4 and passing through the point (4,-2

A: To find the equation of a line parallel to y=−4x+4 and passing through the point (4, -21), you can…

Q: What is the unit tangent vector T(t) on the curve r(t) = (sin(t), 3, 2 cos (2t)) when t = 0? Select…

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Q: -3 3 -3 I У X

A: From the given graph The horizontal asymptote is The vertical asymptotes are and