h(x, y, z) u = i + 2j + 2k cos xy + e + In zx, Po(1, 0, 1/2),

Q: dx 8 00 4x2+1 ·00

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Q: Find the derivatives of the functions f(x) = tan ²(x) and g(x) = sec ² (x) respectively. What can be…

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Q: Find the vector equation for the line of intersection of the planes 5x + 3y2z = -1 and 5x + 5z = -4…

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Q: 6 Let F = (e²4, sinº x, cos x). Calculate curl(F). curl(F) =

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Q: (e) an (f) an = √n+1-√n (g) an = √n²+1 n = 2n n! [Hint: First prove that an ≤ 4/n for all n € N.]

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Q: For the function, f(x) = -2x + 1, complete parts a through c. a) f(x + h) = (Simplify your answer.)…

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Q: Divide the numerator and denominator by the highest power of x in the denominator and proceed from…

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Q: volume of the area bounc Determine the curve y = 4-x² using a horizontal about x = 2. Plot the…

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Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its…

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Q: Solve it on paper!

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Q: Solve it on paper!

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Q: 99. The graph in the following figure models the numb of people N(1) who have come down with the flu…

A: The graph of the number of people N(t) who have come down with the flu t weeks after its initial…

Q: 20. Given a = [8,-6, 4], b = [−2, 1, −3] and ₹ = [7,6, −2], find a) b.č b) axc

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Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

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Q: 28. Differentiate a) f(x) = and SIMPLIFY the following functions: e-3x² cos² (4x-5) b) f(x)= (x-6)¹…

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Q: 4y² dx = 6x² dy when x = 4, y = X

A: Given differential equation

Q: a. f(x) = 5x +9x³ +12x² - 7x f'(x) = b. f(x)= 0.03x² -0.4x+10 f'(x) = b. f(x) = 10x³ +5x*-8x f'(x) =

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Q: Find a (closed form) expression (involving n) for ONE of the following sums. Hint: Use the formulas…

A: Given that some series expressions and we solve this by using formula.

Q: Simplify. Write your answers in the form of a + bi, where a and b are real numbers. 8 + i -7-5i O A.…

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Q: Find (6x²–5x+4) dx. Use C for the constant. (a) What is f'(x)? (b) Find f(x), then write out the…

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Q: plume of the solid obtained by rotating the region bounded by the curve x²+(y-1)²=1 about the…

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Q: Use the given information to find the left and right-hand Riemann sums for the following function.…

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Q: The impact of a 5% inflation rate on an $50,000-per-year pension can be severe. If P represents the…

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Q: again

A: Solving the problem

Q: 2. Use implicit differentiation to find y'. (Assume y is a function of x.) y y) = ²/ = ly +1| +…

A: By using implicit differentiation to find .(Assume  is a function of )Note: Since the student has…

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A: we have given surface area of the rectangular solid is 316.5 cm2

Q: The addition of two vectors always results in another A vector can be resolved into two vectors whos…

A: Since all the questions are self explanatory and one liner, it do not requires further…

Q: √r +3 6) lim- √r-9 644

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Q: The value of a timber forest after t years is V(t) = 490√t - 35t (for 0 ≤ t ≤ 50). Find when its…

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Q: Find the general solution of the given higher-order differential equation. y"" + 3y" + 3y' + y = 0…

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Q: Evaluate S (3-x-y)dA where R is the region bounded by the lines y = x and x = 1 and the x-axis.

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Q: Consider the line f(x)=mx + b, where m does not equal 0. Use the epsilon-delta definition of a limit…

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Q: For the function, f(x) = -2x+5, complete parts a through c. a) f(x + h) = b) f(x+h)-f(x)=…

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Q: Part. (a) lim x-0 X e-1 sin x ||

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Q: A manufacturer has determined that the marginal profit from the production and sale of x clock…

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Q: Solve the given initial value problem. y" - 6y' +9y = 0; 23 y(0) = -3, y'(0) = 3

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Q: The following graph shows the number of housing starts for sale purposes in the United States during…

A: The following graph shows the number of housing starts for sale purposes in the United States during…

Q: Find the linear approximation of the function below at the indicated point. f(x, y) = 26x²4y2 at (1,…

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Q: 1. Prove by definition that the sequence {1/√n}1 is convergent. Also find its limit. 2. Prove that…

A: (1) we need to prove by definition that the sequence {1/√n} is convergent and find the limit of the…

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

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Q: Sketch the graph of a polynomia function that meets these requirements: (1) As x-∞, f(x). (2) As x→…

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Q: 2. S 2 dx (Partial Fractions) (Ans: In |x-1|- 3 X (x-1) 2 (x-1) 1 2(x-1)² + C)

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Q: a. Determine whether the Mean Value Theorem applies to the function f(x)= In 20x on the given…

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Q: A force of 200 N will stretch a door spring to 0.8 m. How much work does it take to stretch the…

A: The value of the force, The stretch in the spring on applying 200 N force is, To determine: The…

Q: A piece of cardboard measuring 14 inches by 9 inches is formed into an open-top box by cutting…

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Q: FI x4 NYI 0₁ F5 F₁ | 7₂ | F₂ |fu|t₂ 00.jo. 40 35 20 50'70 50' 10'30

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Q: Determine all the points where the given function is continuous f(x,y,z)= x² + sinz y a. All of R³…

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Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(9r – s, s² – 3r). Use the table…

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Q: If 1400 square centimeters of material is available to make a box with a square base and an open…

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Q: The figure has a tangent line drawn at a labeled point. 9400p(t) thousand employees 9300 9200 9100 2…

A: Concept:Where m is the slope