At what point on the curve x = t³, y = 6t, z = t4 is the normal plane parallel to the plane 6x + 12y - 8z = 2. (x, y, z) = (

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A: Here, the given curves are: y=1+2x, y=2+x2

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A: Here we have to find the y-intercept of the secant line

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A: We need to choose correct option.

Q: x) = = ph f and T3 on the same screen. y 2+ -1.0 -1.0 -0.5 -0.5 1 -1 -2 -3 y 2+ 2 1 -1 -2 -3 0.5 0.5…

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Q: Question 3 a) b) [ Find the limit, if it exists, or show that the limit does not exist. lim…

A: a)limx,y→0,07x2+2y2yb)limx,y→0,049x2-98xy+49y27x-7y

Q: Perform a first derivative test on the function ​f(x)=2x3 +3x2 −12x +4​;​[−2​,4​].   a.  b.Use the…

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A: We have to find derivative

Q: 8. n=1 (−1)n-1 n². 2n (error] < 0.0005)

A: Solve by adding partial sums

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

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Q: ind the standard equation of the sphere  with diameter and end points below (6,-1,-2), (4,11,12)

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Q: 6. Σ(-1)n-1 sin (2) n=1

A: Explanation of the answer is as follows

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A: To find the critical points of the given functions.

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Q: given u= and v= find uXv

A: To solve the following problem

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Q: find a set of parametrix equations of the line through the point (5,6,2) parallel to vector v=

A: find a set of parametrix equations of the line through the point (5,6,2) parallel to vector…

Q: The rate of change of N is proportional to 20 + N(x), where N < −25. N(0) = 10, and N(2) = 25, find…

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A: find an equation in rectangular coordinates for the EQUATION GIVEN IN SPHERICAL COORDINATES  p=…

Q: If f is a differentiable function and % up on Selected Answers: (0,1) f'(x)=x5 − 5x4+ 5x³+2, then…

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Q: Problem 8. [10 pts] For each of the following answer True or False. If it is false, explain it. (a)…

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Q: Determine whether the series is convergent or divergent by expressing the nth partial sum s,, as a…

A: We use Series integral method to find whether the series is convergent or divergent.

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Q: Find fx and f, and evaluate each at the given point. an(1), (6, -6) f(x, y) = arctan fx(x, y) = (No…

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Q: S 4x+1 4x² + 2x + 1 dx In 14x² + 2x +1| + C Option 1 In 14x² + 2x + 1] + C 2 In 1 4x² + 2x +11+ C…

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Q: Rewrite the following equation with the variables separated. tan(y)y' = 4 cos(x) O sin(y) dy = 4 dx…

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Q: ΒΣ 3 Θέλη

A: 3.The given series ∑n=0∞3.12n

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A: This question can be solved using the concept of inverse trigonometric inverse.

Q: Given the function of two variables f(x, y)= ln (√x + y6) The partial derivative with respect to x…

A: using the partial derivative,

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Q: Find the total differential. z = 8x4 8x4y10 dz = (No Response)

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Q: Given that S." sin xdx = 2, find the average value of the sine function on the interval [0, π].…

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Q: Let D be the planar region bounded by y = 0, y = x², and x = 1. The integral ff cos(2² +1²) dA…

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Q: 52. If lim f(x) = 6 and lim, g(x) = 3, find x-2 (a) lim [5 f(x) - 4g (x)] (b) (c) lim [4 - xf(x)]…

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Q: Prove the identity. 1 + sin x 1- sin x = (secx + tan x)² To verify the identity, work each side…

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Q: find the distance between point (-1,1,3) and the plane 5x-5y+3z=25

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Q: Use a sum-to-product identity to rewrite the expression. sin 5x + sin 2x sin 5x + sin 2x = (Use…

A: Using sum-to-product identity,

Q: I wrote the same answer and still got it wrong, why did I get it wrong?

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Q: QUESTION 5 Find the 2nd solution by reduction of order. y" - 4y +4y=0; y₁ = e²x

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Q: The graph of the *derivative* of F is given below. 0 -1 1 2 F'(x) Given that F(0) = -4, find F(6). 3…

A: Find function f by integrating given function and then eliminate value of constants

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Q: 6. Find complementary function and particular integral of the following differential equation: (D- d…

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