Question 12 a)! Let C be a curve defined by the vector equation r(t)=<5t³ - 4t, 5t³ + 6t, e5r³-41>. P(32, 52, e³2) Show that the point

Q: y(0) = -1 0 = (0),

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Q: Find the radius of convergence, R, of the series. R = Î n = 1 I = n2n Find the interval, I, of…

A: We have to find out interval of convergence

Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

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Q: Find the critical points of the given function. a) f(x) = √2²-4 b) f(x) = 3x + 21-1

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

Q: 4. What are the values of A, B, C, and D so that 1 a. A = b. A = C. A = d. A = HALA00 B= C= B B 1 8'…

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Q: Find the derivative of y = Select one: O a. O b. du O C. d. d = O e. (2x-5)cscrcotx-2cotx (2x-5)2…

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Q: 3y What is the equation of the curve that passes through the point (1, 3) and has a slope of ○ y =…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: • Find the exponential F.S of the signal shown below, then find the trigonometric form. of(t) A 1/2…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Solve the initial value problem y(x)= dy da + y cos = 4 cos x, y(0) = 6

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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: Why do you do e to the power of the integral in order to solve the question? Why not just integrate…

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Q: Find a power series representation for the function. f(x) = X 8 - x³

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Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Given :fx=1x+12

Q: Transform the given differential equation into an equivalent system of first-order differential…

A: Using substitution and differentiation,

Q: Let f be continuous over [a,b] and differentiable over (a,b). Then there exists at least one point…

A: Let f be continuous over a,b and differentiable over a,b. Then there exits at leastone point c∈a,b…

Q: Write an equation for the function graphed below -7 -6 y = -5 -4 -3 Get help: Video 5 4 3 2 1 -2 -3…

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Q: Determine where the function m(x) = x + 1 (x-1)(x-7) is continuous. The function is continuous on…

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Q: The acceleration of a particle is given by a(t) = (2t, 3, et). If the velocity at time t = 0 is…

A: Given: Now, the velocity will be           v(t)=&lt;∫2t, ∫3, ∫et&gt;      =&lt;t2+c1, 3t+c2,…

Q: The graph of y = f(x) is shown. Use the graph to answer the question. Find lim x-(-1)- O-2, -7 O-7,…

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Q: Given: f" f(x)dx= 36, [ f(x)dr = 12, 2. Find the ff. numbers: So a. C. f(x)dx b. [ (2f(x) + +12g(x)…

A: Explained below

Q: Given f" (x) = 8x − 6, ƒ' (1) = −3, and f(1) = 5 find f(x).

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Choose the normal vector of the tangent plane to the surface defined by Z = e6x²+14xy-5y² at the…

A: To find: The normal vector of the tangent plane to the surface at the given point. Given…

Q: Find the trigonometric integral. (Use C for the constant of integration.) [" (cos(20)) (sin(0) +…

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Q: Ꮎ Given that sin 0 = 0.3356 and 0 is in quadrant I, find sin 2 Ꮎ 2 (Round to four decimal places as…

A: using trigonometry identity and half-angle formula,

Q: 2. Approximate 64.1 by using linearization and use a calculator to compute the percentage error.

A: Given :64.13

Q: Given the initial condition y(0) = 2, what i the particular solution of the equation √x - √ (x² +…

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Q: Use the washer method to find the volume of the solid of revolution for the region bounded by…

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Q: Consider the following functions. f₁(x) = x, f₂(x) = x², f3(x) = 7x - 3x² g(x) = c₁f₁(x) + C₂²₂(x) +…

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Q: (18) Find the derivative of the functio 2²+5 3 Y=2²-5 Nor me it to Vitou inst

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Q: (d) Determine the y-intercept(s). (e) Sketch the function. (f) Determine the axis of symmetry. (g)…

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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: Let h(x)=f(x)g(x) where f(x)=−3x2+4x−1 and g(x)=−x2+4x+3. What is h′(4)? Do not include "h′(4)=" in…

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Q: Sketch the function. v(x) = 0.2(x-3)²(x+2)³

A: We can answer the question as below.

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

A: Solve by adding partial sums

Q: Find all the zeros. Write the answer in exact form. 2 v(x)=x²³ −5x² + 4x+6 If there is more than one…

A: Find out the zeroes of the polynomial.

Q: At which octant will you find (-8, 13, -1/2)?

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Q: Consider the following function. f(x) = e3x² a = 0, n = 3, 0 ≤ x ≤ 0.1 (a) Approximate f by a Taylor…

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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: given u = and v= find u*v

A: To find out the dot product u*v

Q: at f" si sin rdr = 2, find the average value of the sine function on the interval [0.7]. Also, find…

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Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

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Q: (1) Find the Taylor series for f(x) centered at the given value of a. (Assume that f has a power…

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Q: Solve, finding all solutions in [0,2x) or [0°,360°). 2 sin‘x+ sinx=0 2

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Q: Evaluate the indefinite integral as a power series , x² ln(1 + x)

A: We want to find the indefinite integral as a power series.

Q: given the surface revolution x^2+z^2-5y=0 find the equation of its generating curve in the yz-plane…

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Q: Answer the following questions for the function f(x)=x√x²+1

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Q: P 2. Sketch the parametric curve and eliminate the parameter to find the Cartesian equation of the…

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