earning Task 1: Determine the derivative of the following. x*y + 2y3 = 3x + 2y %3D

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Q: Given: -8 17 cose 15/17 -8/17

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Q: 4. f(x) = sin xand g(x) = 2x 5. f(x) = x² + cosx and g(x) = 3x + 4 Guide Questions: 1. How did you…

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Q: Use THIS standard form for a tangent plane: - fz (x1, yı) * (x – x1) – fy (x1, yı) * (y – y1) + (z –…

A: Given

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A: Given vectors are:- Vector a =<1,2> vector b =<2,-1> Find :- 4a-3b

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A: u=2,27 v=32,-19

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A: To find second derivative of given function.

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A: The objective of the question is sketch the given function .

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Q: Find the average value of f(x) = over the interval [0, 1]. (3x2 + 3)² Enter the exact answer. fave

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Q: Let Z1 -2V3 – 2i and z2 = -1 + iV3 • Z2 Find the product: z1 • Z2

A: To find the product of the given complex numbers.

Q: Express the repeating decimal as the ratio of two integers. 0.02 = 0.0222.. The ratio that…

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Q: (v- 2) dy -(x-V=1) dy = 0 ans y- 3 =(2- v) In Icly -2 )I

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Q: 3. A container in the shape of a right circular cylinder with no top has surface area 3n ft2. What…

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Q: Use vectors to determine whether the points are collinear (0, -2, -5), (12, 7, 1), (8, 4, –1) The…

A: Given: (0,-2,-5) , (12,7,1) & (8,4,-1) are three points.   To Check : The given points are…

Q: Given the vectors, ū = -3i+2j and = 4i – j, find 4ü-27. %3D (-20,10) (20,-10) (-20,-10) (20,10)

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Q: Astivity 3 tind the dertve of 2メー3 う×ース enuing the definitiom -

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Q: Cost 3x dх

A: The objective of the question is evaluate the indefinite integral.

Q: Evaluate the following rational function with the following (a, b, c, and d). 5+3x*+4x3-13x2+13x-1…

A: Let's find.

Q: 1 Lim x+0 sin'x 2. X. X

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Q: Find the interval of convergence. 00 (x + 6)" (n In(n))2 n=2 (Use symbolic notation and fractions…

A: limn→∞ an+1an <1limn→∞ (x+6)n+1(n ln n)2(n+1)ln(n+1)2 (x+6)n<1limn→∞ (x+6)n ln nn+1…

Q: Question For the function f (x) given below, evaluate lim f(x) and lim f(x). X00 X-00 f(x) = 6 cos…

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Q: (х- 4y - 3) dx -(х-бу— 5) dy %3D о ans. (x - 2y - 1)? %3D с (х-Зу- 2)

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Q: for what Vatuer of the constant(k) that the funstion fayt=x²+kxy +y will have a- Saddle Point…

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Q: Learning Task 1: Directions: Solve for y in terms of x (isolate y on one side of the equation and…

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Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

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Q: Question Consider a function f(x). The function has critical points at - 4 25 and 2. The table below…

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Q: Consider the following. 2|x- 91 X - 9 f(x) = Find the x-value (if any) at which f is not continuous.…

A: The given function,   f(x)=2x-9x-9 Note:      Multiple questions are given, we are answer only one…

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (8, 5)…

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Q: 6. Use parametric differentiation to find if x= 212 +2, y=t* -7 dx Solution:

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Q: explain why the function has at least one zero in the given interval. f(x) = x^3+ 5x-3 intervals…

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLI 3x 1. Y= Arctan

A: Since we are given with the multiple number of question and our guideline is solve first question…

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Q: Find a point P on the line and a vector v parallel to the line by inspection. Enter the vector i as…

A: Explanation of the answer is as follows

Q: 22. f (x) = e² + sin x

A: The given function is f(x)=ex+sinx .......................................... (1)

Q: of

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Q: Use the PARTIAL DERIVATIVES and find the implicit derivative dy/dx at (r, y, z) = (1, 1, 1) on this…

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Q: Find the exact area of the surface obtained by rotating the curve y =x2, 3 0<x<12, about the y-axis.…

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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: Given:    Plane 3x+4y=-7    Line x-38=y2=z-36 The point where the plane and line intersect:    The…

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Q: Suppose f''(r) = - 18z + 2, f'( – 1) = – 18, and f( – 1) = 1. Then f(r) =

A: See the answer below

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A: Given: Point (0,0,0) Vector : v = &lt;6,1,4&gt; (a) The parametric equations for a line passes…

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: a. x² + y² = x +y b. x² +xy³ = x c. y = sec(x +y)

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

Q: S2(x* +1)e** dx . -5x t³ -9 -dt . 2t +3

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