Find the gradient of the function at the given point. In(x2 - y) - 6, (2, 3) Z = Vz(2, 3) = %3!

Q: 1 1 dx

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Q: What is the maximum value of f(x)= 2x4+16x3+40x2+64x+7 on [-8,-2]? a. -57 b. 4 096 c. -121 d. 2…

A: Given: fx=2x4+16x3+40x2+64x+7 ; x∈-8, -2   As we know that; The Power law; ddxxn=nxn-1

Q: 1. Determine whether the following integrals converge. (a) 1 dx x3

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Q: Find the slope of the line passing through the points (-1, 3) and (-8, 3). slope: | Find the slope…

A: Solution ) slope  m = (y2 - y1)/( x2 - x1) 1) point ( -1 , 3 ) , ( -8 , 3 ) slope m = ( 3 - 3 )/( -…

Q: 29. Which of following is the equation of the tangent line to the curve y = 2x - x² at the point (…

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

Q: Find a point Pon the line and a vector v parallel to the line by inspection. Enter the vector ias i…

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Q: If f(x) = e*sinh x, what is f'(x)? e*(cosh x- sinh x) O Option 1 Option 2 e*(sinh x - cosh x) 2e2x…

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Q: Which of the following is equivalent to cos 0? cos 0(1+ tan? 0) sin 0 + tan 0 1+ sec 0 O Option 1 O…

A: Checking all options by simplifying.

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y²,…

A: Given: f(x,y)=x2-2xy+y2, (5,7,4).

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In V x2 + y², (6,…

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Q: Given than | f(x) dæ = 4 and f (x) da 8, which of the 3 following is NOT TRUE?

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Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

A: Plane in 3D: The equation of a plane in 3D is ax+by+cz=d If by is removed, the graph of the…

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

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Q: Find the limit. lim V+3

A: Given query is to find the value of the limit.

Q: 2pq If sin A = ,where A is an acute p2+q² • angle of a right triangle, what is sec A? p² + q? p² +…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: To determine the point of intersection of the given line and plane.

Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

A: use the definition  of exact or non exact.

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 3y2 + 2, (3, 5) Vf(3, 5) =

A: Given: fx,y=2x+3y2+2 ; Px,y=3,5   As we know that; The expression for the gradient vector.…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: 2. What is the slope of the line tangent to the curve 8x³ – y² = 4 at the point (1,-2)? 3. What is…

A: Since first subparts question statement missed. Answer 2 and 3

Q: At a point 160/3 feet from a building, and in a horizontal line with its base, the angle of…

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Q: Find the gradient of the function at the given point. f(r, y) = 3x+52 +1, (2, 1) %3D O 3i+10 O 3i+5j…

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Q: Г(81)

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

Q: 2. The growth rate (in inches per year) of the diameter at breast height of a certain tree is given…

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Q: integral. Give your answers as fractions 3 (i) dx V1- x2

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Q: What are the relative extrema of the function f(x)=x3+3x2-24x+7 a. relative minimum of -4, relative…

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Q: We use Law of Sines and Law of Cosines to solve for a triangle. When we say solve for a triangle, we…

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Q: d. x cosy + y sin x –1 = 0 3 х е. = 2 x y

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Q: Use the figure to estimate the limits if they exist. 30+ 20 10 -10 10 20 30 If the limit does not…

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Q: A cubical container that measures 2 inches on a side is tightly packed with 8 marbles and is filled…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u =j + 8k v = i - 6j - k

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 1. How tall is Gio than Trixie? 2. How short is Ana than Leigh? 3. If Janela stood on a box that is…

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Q: find the inverse laplace tramsform 3/(s-2)^2+4

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Q: Calculate L4 for f(x) = 24 cos () %3D L4

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: To find the parametric equation of a line that passes through (-1, 4, -6) and is parallel to given…

Q: What would happen to the volume of the cone if the radius of its base is tripled and the height is…

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Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations hat are…

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Q: z = 2 24 z=Vx² + y² 2 FIGURE 9

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. The…

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Q: A hollow cylindrical metallic pipe is open at both ends and its external diameter is 12 cm. If the…

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Q: standard

A: As per the guidelines we can solve 3 parts only. Please repost the same for more answers.

Q: x'sec'ydy – (1 – 2x²tany)dx = 0 %3D

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² – 2xy + y²,…

A: Given problem:- Find an equation of the tangent plane to the surface at the given point. f(x, y) =…

Q: Which of the following is not equivalent to sin 0?

A: We are asked to find which is not equivalent to sinθ

Q: (25-у? 5-х SŠ s *²+y²dzdxdy

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Q: 7. (D+ 3)'y = 15x'e-3* 8. (D- 4)'y 15x²e**. 9. D (D – 2)²y = 16e2 10. D2(D + 3)²y = 9e-3x 11. (D² –…

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Q: (5) Find the local maximum and minimum values of f(r) = 1+3x2 – 2.r using either the First…

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Q: A rectangular container with an open top is to have a volume of 10 m.. The length of its base is…

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