Find the relative maxima and relative minima, if any, of the function. g(x)= x+2 X

Q: Find the derivative of the function at Po in the direction of A f(x,y) = - 4xy-4y², Po(-5,4), A=…

A: Given :- The function To Find :- The derivative of the function at P0  in the direction of A.

Q: 5. Which equation can be solved by referencing the graph below? -1/2 -11/4 3 cosx – 1 = sinx O…

A: The range of both cosine and sine function is .The value of the sine function is zero for all…

Q: Find the gradient of the function f(x,y)=√2x+3y at the point (-1,2). Then sketch the gradient…

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Q: Describe all of the transformations applied to the parent function f(x) = x² to sketch g(x) = 5(x +…

A: We have,   f(x) = x2    g(x) = 5(x+3)2 - 2

Q: Rewrite the following equation with the variables separated. y' = 6xy² + 2xy + 6y² + 2y

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Q: Minimize Szy +25zz + 5yz subject to zyz = 1 with z>0, y> 0, z > 0.

A: We need to Minimize S = xy + 25xz +5yz subject to xyz = 1 with x>0, y>0, z>0.

Q: The position of a baseball (in ft) is represented by r(t) = 55√2ti + (4 + 55√√/2t - 16t2)j. Find the…

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Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

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Q: Let f(x, y) = exª Evaluate f(4,2)

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Q: the distance traveled by a particle in t seconds is given by s(t) =t^2+4t. what is the particles…

A: Given that, the position function for the distance traveled by a particle in t seconds is s(t) = t2…

Q: For the following lines: L₁: x =− 3 + 3t, y =− 1 + 4t and L²: *3º = ³-2. a) Determine the point of…

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Q: For the function f(x,y) = 6 of find and 8x+3y' dx dy

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Q: Using the change of base formula, log, 10=7 log log(10) O In(20) O A h (10) O bg (10) log

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Q: Instruction: MAT 143: Algebra and Trigonometry ✓Answer Must be Handwritten ✓ Question No: 2 question…

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Q: 4. A translation service has 74 employees. There are 45 employees who speak French and 22 employees…

A: This is question of calculusHere given conditionWe have to draw venn diagram for it.Further…

Q: If sin t = 3, and t is in quadrant I, find the exact value of sin (2 t), cos (2 t), and 3' tan (2 t)…

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Q: 13. If H = {1, 2, 3, 4, 5, 7, 9, 11) and J = {1, 2, 3, 4, 6, 8, 10), then n(HUJ)= a) 4 b) 11 c) 15…

A: Note:Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curve about the…

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Q: Questions #8 to #12 pertain to the accompanying Venn diagram. 8. If n(AUB) = 40, what is the value…

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Q: । -2 3 -3 2 4 6 j (.) 8 10 I

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Q: Let f(x, y) = x² + 2y¹ - 40xy

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Q: For what value of the number k is the following function continuous at r=2 if x 2 f(x) = = (A) 3…

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Q: Determine the interval(s) on which the function is (a) increasing, (b) decreasing, and (c) constant.…

A: Graph is given.

Q: Evaluate the double integral J₂62 6xy dA, where D is the triangular region with vertices (0, 0), (1,…

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Q: Let f(x, y) = 3x² - 2x + 8y + 5y² - xy List the critical point: The critical point is a Select an…

A: We can find the critical point of the function .

Q: Find all the second-order partial derivatives of the following function. h(x,y) = 4xe + 7y +5

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Q: O Country A had a GDP per capita of $10000 and Country B had a GDP of 1000 in 1960. Country A has…

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Q: If f(x) = x²/(1+x), find f "(2). f"(2) =

A: Use the quotient rules of the derivative

Q: Given f(x) = 2x² + 1 and g(x) = 4x - = 4x - 6, find the following. (a) f(g(2)) (b) f(g(x)) (c)…

A: Given functions are,Under guidelines we are suppose to answer only 1 or 3 sub parts.

Q: Which of the following graphs is consistent with the differential equation dx = x y

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Q: (iii) Consider the function C(Q₁, Q₂)=Q-30102+Q2. What level of Q₁ and Q₂ locally minimise this…

A: According to our guidelines , we can answer only first question (due to multiple questions). Kindly…

Q: It is determinate because there is only one known force. It is determinate because there are no…

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Q: Consider the following integral. Sketch its region of integration in the xy-plane. (a) Which graph…

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Q: 9. Find the points on the graph of y = to the line 28x + 50y - 17 = 0. 7x x-2 where the slope of the…

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Q: 4. The amount of radioactive carbon-14 left in a sample of biological material over time is given by…

A: The amount of radioactive carbon-14 left in a sample of biological material over time is given by…

Q: 12. Compute the derivative of f(x)= = (a) The quotient rule (b) The product rule I for constant n…

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Q: What is the domain of g(x,y)= 12 xy Select the correct choice below and fill in any answer boxes…

A: Given We need to find the domain of the function.

Q: ) An object is pulled with a 5 N force at an angle of 30° to the horizontal. Find the horizontal and…

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Q: 2. Determine the Cartesian equation of the plane containing these lines: z+2 x-5 z+5 3 and L₂: *5 =…

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Q: Questions #8 to #12 pertain to the accompanying Venn diagram. 10. What is the value of n(A)? a) 12…

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Q: A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s.…

A: A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s.…

Q: The base of a three-dimensional figure is bound by the line = 2 cos(y) on the [ - 12/17, Vertical…

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Q: 2. Determine the Cartesian equation of the plane containing these lines: z+2 x-5 y-5 z+5 3 3 2 4 L 1…

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Q: For the following lines: L₁: x =− 3 + 3t, y =− 1 + 4t and L₂: 2 a) Determine the point of…

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Q: If F(x)=4-x and g(x) = 2x +3, find a value of such that F(x - 2) = g(2x). 40 22/10 0-2 O 0-1/3 O LO…

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Q: f(x)=x-5 1. f(5) = 2. lim (x-5) as x->5 = g(x): X = :: f(x) 3. g(5) = x²-25 x-5 : g(x) 4. lim g(x)…

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Q: 4. Find the local extrema for the given function below. No graphs. f(x) = x + ln(x² + 1)

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Q: Find the slope of the curve y = cos The slope of the curve is (Type an exact answer.) ¹x at √3 T 2'6…

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Q: A cheesecake has equally sized slices. Each slice is a different flavor. The diameter of the…

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Q: Find the volume of the tetrahedron shown using the order dz dx dy. The tetrahedron is bounded by the…

A: The tetrahedron is bounded by the planes Now, from above data limit of z is:-Now, we need to find…