Determine an equation of the line tangent to the curve Y = 5x-4 at the point with x- coordinate 4.

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Q: 1.) lim 5-x 2.) lim 5-x 3.) lim 5-x

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Q: F. dr. Jc Use Stokes' Theorem to evaluate F(x, y, z) = z²i + 26xj – y°k %3D where C is the circle x?…

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Q: 10. Using the graph below of the function f(x), identify the approximate interval(s) where the first…

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Q: csc z) Evaluate: lim (x² + e¬®)@¯

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Q: 9. Sketch the region enclosed by the curves: y = x²-1, y = 3-x². Then set up, but do not evaluate,…

A: Area bounded by the curves :    If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

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Q: Given k(t)=log_2.4(t+1.6)−3.7 The 3 starting points you would use would be:    . Round answers to 4…

A: Given : K(t) = log2.4(t + 1.6) - 3.7 Basic Function : y = log2.4 t The 3 starting points you would…

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Q: what is the domain and range of f(x, y, z) = x + ln y + cos z (please explain)

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Q: An object moving along a horizontal coordinate line has directed distance s(t) = t - 6t2 + 9t + 11…

A: s(t)=t3-6t2+9t+11 Differentiating with respect to t s'(t)=ddt(t3-6t2+9t+11)=3t2-6*2t+9+0=3t2-12t+9…

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A: Given;  limx--2 (4x2+ax+a+12)/(x2+x-2).

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Q: Let f(x) = (x – 3)(5x + 7). Find an equation for the tangent line to the graph of f at x = 2.…

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Q: Q8. Identify the function, whose derivative is defined below: (x + h)2 – x? dy - lim dx h→0 h A.…

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Q: 10. Consider the system of equations X, - 2x, + 3x, = 1 2х, — Зх, — 2х, 3 3 X, - x, - 5x, = 2 a.…

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Q: Use the Divergence Theorem to find the flux of F(x, y, z) = (x – z)i+ (y – x)j+ (z – y)k - across…

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Q: Using the graph of two functions f(x) and g(x) on the right, find: a.f(g(2)) b. g(f(−1)) c.…

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Q: Evaluate (2x – y) dx + (x + 3y) dy. C: arc on y = x312 from (0, 0) to (4, 8)

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Q: Q1. Which of these expressions is NOT factorised? А. X(х + 1)(х + 2) В. (х+ 1)(х+2) С. x (х + у) —…

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Q: Q9. Which of these is not the derivative of the function, y = x": A. -½x-1½ B. –0.5x-1Vx-1 C. –0.5 1…

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Q: リ= 3x3-x2+6

A: Given query is to find the equation of the tangent.

Q: Use local linear approximation to estimate (31.62)4.

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Q: 9) Determine the third derivative with respect to x for y = In x 10) Given f(x) 2x + 1 and f(1) 4.…

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Q: dy 1. Find for the following: - dr f. 4x² - 9y² = 36 g. -+-=1 X y ... h. 3x°y+2xy² = 4 i. (3 - 2x) =…

A: f.4x2-9y2=36Differentiate w.r.t.x4×2x-9×2ydydx=08x-18ydydx=08x=18ydydxDivide18y on both…

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Q: Verify the formula LF a ds = S cdiv F dV in the Divergence Theorem by evaluating the surface…

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Q: 6) Determine the equation of the tangent line to y = x/x when %3D x = 4.

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Q: After using Pythagorean identities to solve the integral of (sinx)^5*(cosx)^5, the next step would…

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Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

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Q: Find the arc length L of the graph of r(t). r(1) = t³ i+ t j+V6r? k, 2 <t< 5 k, 2 <t < 5 L = i

A: Given : r(t) = t3 i + t j + √6 t2/2 k 2 ≤ t ≤ 5 Now, r'(t) = 3t2 i + j + √6 t k Arc Length :

Q: geometry to evaluate S V4 - x dx. -2

A: Given : integration gives area under the curve.  let  y=4-x2      y2=4-x2   x2+y2=4   x2+y2=22it is…

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 8 cos(t)i+3 sin(t)j+ 5tk;…

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