Show that there are no points on the graph where tanx is horizontal.

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: Write the following expression -3-In(x) - In(y) 3-In(x) + In(y) 3-In(x)-In(y) -3-In(x) + In(y) In XV…

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Q: 6. Determine values for a, b, and c such that the function f(x) = x³ + ax² + bx+c has a y-intercept…

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Q: Find the limits. (a) lim -t 10 t-x 5 + e-t (b) lim 1-2et t-∞ 1 + 3et (c) lim

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Q: A region bounded by f(y) = y², y = 2, and x = 0 is shown. What is the volume of the solid formed by…

A: I have appended the formula used in solution procedure part

Q: A region bounded by f(x) = Væ + What is the volume of the solid formed by revolving the region about…

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Q: Jane is taking a history class. The teacher states that the population of a country is shrinking at…

A: Size of the population, P = 10e0.5t

Q: Find the domain of the following function. g(x,y)= In (x²-y)

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Q: Find the derivative of the function f(x), FIRST using the Product Rule & SECOND Quotient Rule.…

A: The Product Rule:The Quotient Rule:The Chain Rule:The Power Rule:

Q: Let f(x, y) = x² + 2y¹ - 40xy

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Q: The value of g 28 is -2.269. True False

A: The expression given is,

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A: Note:- As per our guidelines, we are supposed to answer only one question with a maximum of three…

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: f(x) = = Find (fog)(x). Find the domain of (f o g)(x). (Enter your answer using interval notation.)…

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Q: Find the first partial derivatives of the following function. s+ 3t s-t f(s,t)=-

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Q: The Cobb-Douglas Production function for a certain company is given by P(L,K)= 1400L ^0.7 K^0.3…

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Q: Find -зе ху Ә ?х

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Q: A radioactive isotope decays over time at a rate proportional to the amount of the material at a…

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Q: 2²4 2²4 The two-dimensional Laplace equation + -= 0 describes the potentials and steady-state…

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Q: While taking a walk along the road where you live, you accidentally drop your glove, but you where.…

A: p(x)=5e-5x for x

Q: The terminal ray of angle drawn in standard position passes through (2, -3). What is the value of…

A: given the terminal ray of angle  drawn in standard position passes through (2,-3)

Q: j(x) = x=5 X X 9. j(5) = j(x) 10. lim j(x) as x->5 = 11. j(0) = 12. lim j(x) as x->0 from the left =…

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Q: Determine vector and parametric equations for the line with z-intercept 4 and is parallel to the…

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Q: Let g(x,y)= ln x + 2 ln y-x-8y Find the critical points. Then determine if the critical points are…

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Q: Suppose F(x) = f(x³), G(x) = (ƒ(x)) and: a² = 11, f(a)=2, f'(a)=14, ƒ'(a³) = 8. Find: (a) F'(a) =…

A: given given

Q: g(2,1, 2) dV over solid B. B = {(x, y, z) | 1² ≤ x² + y² ≤ 5², x ≥ 0, y ≥ 0,3 ≤ z ≤ 7} and g(x, y,…

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Q: Find the first partial derivatives for f(x,y) = 3x cos (xy). =0

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Q: 2. Differentiate each of the following functions. Leave in unsimplified form. c) 2x+5 y=-x² d) y =…

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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: 2) Where on the curve f(x)= 1 1 + x² does the tangent line have greatest slope?

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Q: । -2 3 -3 2 4 6 j (.) 8 10 I

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Q: find the area of a triangle using herons formula. the triangle has lengths of 610.02, 1022.5,…

A: given triangle lengths 610.02, 1022.5, 538.54

Q: 2. Determine the derivative of the function f(x) = 2x² ecos 2x Express you answer in simplified…

A: Given :-  The function To Find :-  The derivative of the given function.

Q: 2n+25n²+32n-15 The nth term of a sequence is represented by 6n²+2n³-11n²-2n+17 What is the limit of…

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Q: For the function f(x,y) = In (7x+2y), find and əx dy

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Q: Use a graphing utility to (a) plot the graphs of the given functions, (b) find the approximate…

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Q: Multiply. cis (3)cis (2)

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Q: Find the derivative of the function. f(s) = (s8 + 1)e¯

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Q: 9. Given f(x) = x³ - 5x and its derivative f'(x) = 3x² - 5, find the equation of the tangent line to…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Assuming - 2x³ + 4y² + 6xy = 0 defines y as a differentiable function of x, use the theorem dy dx -…

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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: , find the range of the function f(x) = 2x² + 12x – 3.

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Q: (-8.5,0) -13 (-9,-3) (-7,3) (-5,0) (-3,-5) (4,0) -6 (0,-1) (3,-1) (6,2) -1,-3) y = f(x) (8,0) 13x

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Q: Below is the graph of a function. Which of the following could be a graph of its c 3 2 1 -2 T3/ 1 2…

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Q: 4 For the function f(x,y,z) = 3 + xy² – 4z², find f, fy, and f₂

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Q: Evaluate the limit. x - 4xy x-4y lim (x,y) → (12,3)

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Q: 2. Given that p = (5,-2,4), q = (3,-4,-2), and'r = (-3,2,1), calculate the following. a) p q b) the…

A: Let two vectors a and b are as follows then dot product is given as follows The cross product is…

Q: Find all the second-order partial derivatives of the function f(x,y) = 3x + 1y+2: 2²f 11 ах'…

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Q: 14. Find the equation of the tangent to the following functions at the indicated point. a)…

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Q: (x = 2+t 10. Given L₁: y = 1-t;t ER and L₂: F (3,0,-1) + s(2,3,-1); SER z = t a) Determine whether…

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