Given z = sin(1 - 2). x = 2 – ts and y = 2t – s - then calculate when t = -1 and s = -1. dt

Q: Find an equation of the tangent plane to the surface at the given poin h(x, y) = In Vx2 + y?, (6, 8,…

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y²,…

A: We have to find the equation of tangent plane

Q: Given that Vf (7, -9) = 11 i – 6j, find the directional derivative of the function f at the point…

A: Given,           ∇f7,-9=11i-6j.            The function f at the point 7,-9 in the direction of…

Q: For demand function d Q = a −bP and supply function s Q = dP − c , using Cramer’s rule determine…

A: For demand function d Q = a −bP and supply function s Q = dP − c  Using Cramer’srule determine…

Q: Use the ratio test to determine whether a, converges, where a, is given in the n=1 following…

A: ∑n=1∞23n(n!)3(3n!) For ratio test, L=limn→∞an+1an

Q: (csc e cot é -s cot 6 de

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Q: 3;) Find the välie of k isó that. the furnictioin %3D .kx*. .if. x 2 2. is. continuous .cvery iw…

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Q: 7 = 0

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Q: Find the gradient of the function at the given point. In(x2 – y) - 3, (3, 8) Z = | Vz(3, 8) =

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Q: wing. y = x2 y = 6 - x 10 8- 6. (a) Find the area of the region by integrating with respect to x.…

A: Here, the given region is bounded by the curves: y=x2, y=6-x The intersection point can be found by…

Q: х2+3х-2 dx Vx

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: 9. sin“ x cos“ x dx

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Q: If s (t) represents the position of an object (measured in meters) at time t seconds, then the units…

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Q: ylz)=e y(-2)=:

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Q: 8n-4 Determine if the sequence An converges or diverges. If the sequence 67 –4 converges, to what…

A: Given : an=8n-46n-4   To check : an converges or diverges

Q: s(b)-s(a) If s (t) represents the position of an object at time t, what does the expression…

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Q: 2 (In x dx

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Q: 2.

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Q: Write out the first four terms of the Maclaurin series of f if f(0) = 2, f'(0) = 3, f"(0) = 6, f"(0)…

A: Write out the first four terms of the Maclaurin series of f

Q: Find the relative maximam/minimum values of the fuction てキX Stak where the Function S increasing of…

A: For a given function, y = F(x), if the value of y is increasing on increasing the value of x, then…

Q: Question 1: 2nd Order ODE, Homogenous. Find the general solution, and the values of the given…

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Q: Use the shell method to write and evaluate the integral that gives the volume x + y? = 16 y 4| 3 2.

A: In this question we will use basic concepts of calculus i.e concepts of volume of solid revolving…

Q: Find the directional derivative of f(x, y, z) = 5y at P(5, 1, –4) x + z in the direction from P to…

A: We have to find directional derivatives for the given function.

Q: A. Determine whether the following functions are continuous or not. are not, classify them as…

A: Given : f(x)=x2-36x+6     To Find : type of discontinuity   Note : If f(x) is undefined at x=a, and…

Q: = सितो 11

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Q: 2. g'-yso ylo)=2 gilo): -2 y'Co)= y'(0)= -2 : -2

A: Given: y''-y=0, y0=2, y'0=-2 So, we can also write as: D2-1y=0   The auxiliary equation is: m2-1=0

Q: dy + y = y² sin x dx

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Q: Г(x3 + 2х — 1) cos 4x dx A .3 13 x (3x² 13 sin 4x + 4 |cos 4x + C + - 4 32 16 128 B (x³ (3x² 13 |cos…

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Q: please answer 9 and 10 only Find the general solution of each differential equation, and when…

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Q: v +3v° dv 35.

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Q: ((- +3) dt 21.

A: the given integration,       ∫0245t3-34t2+25t dt

Q: 2T 26. cos e de

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Q: x³3-* dx -x³3-*In (3) + 3x² 3¬× ln²(3) – 6x 3¬×ln³ (3) + 6 3¬× In*(3) + C A B -x³3¯* ln(3) + 3x² 3¯*…

A: Let's find.

Q: (42ª + 3y² + 2z)dV B = {(z, y, 2) | 0 < I < 10, 0 < y < 8,0 <z< 1} .

A: Let's find.

Q: Evaluate/Find the following integrals. 2 1. SxV4x – x¯dx

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Q: (k) (In n)n n> 2.

A: k. 1ln nn ,  n≥2let, un=1ln nnun=1ln nn12=1ln nn2by cauchy roots testlimn→∞  un1n=limn→∞  1ln…

Q: Find the (natural) domain of the function x + 1 2х — 1 f (x) = Select one: a. (-0, –1] U (1/2, ∞) b.…

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Q: Consider the differential equation y' + y² = t*e*. Which of the terms in the differential equation…

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Q: 1. Determine the convergence or Divergence of Sequence with given nth term. If the sequence…

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Q: 22. (1 80 + 16') dv

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Q: 3 +e? +). 3x 2x2 2

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Q: What is the length of the latus rectum of 4x2+ 9y2 + 8x – 32 = 0? A) 2.3 B) 2.5 2.7 D) 2.9

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Q: If f(x) = 2x - 1, what is the equation of the normal line to the graph of fat (1, 1) O A. x - 6y = -…

A: 1) f(x)=2x3-1 at (1,1) 2)f(x)=g(u) and g(u)=u(x).

Q: Use seperation of variable to solve the following differential equation (DE): (11 + x) dy – y dx = 0…

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Q: Find the area bounded by the curves f(x)=x+8 and g(x)=x²-x.

A: Given: f(x)=x+8 g(x)=x2-x

Q: Recall from calculus, if a function is differentiable at a point c, then it is continuous at c, but…

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Q: S(3x2 — х + 2) е -* dx | A - (3x2 – x + 2)e* (бх 1)e * + 6 e¬* + C (-3x² – 5x – 7)e¯* + C (3x? —х+…

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Q: R Examine the discontinuity for each of the following functions. If the discontinuity it removable,…

A: The objective of the question is examined the continuity and removal discontinuous.

Q: Use Euler's Formula to express each of the following in a + bi form. Use symbolic notation and…

A: i) -e3π4iii) eπiiii) 5ie-π3i