Use the given acceleration function and initial conditions to find the position at time t = 1. a(t) = 10i +6j+6k, v(0) = 0, r(0) = 2j

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

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: Find the tangential and normal components of the acceleration vector. r(t) = cos(t)i + sin(t)j + tk…

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Q: Choose the gradient of the function f defined by f(x, y, z)= In[1 + (7xy + 13xz + 17yz)²]. O…

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Q: Find 10 partial sums of the series. (Round your answers to five decimal places.) 00 n=1 15 (-2)^

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Q: Use the divergence theorem to evaluate ]] F .dɔ̃ where F = xyi – ¹⁄y²j+zk and the surface consists…

A: Here, the surface consists of the three surface z=4-3x2-3y2; 1≤z≤4 on the top x2+y2=1, 0≤z≤1 and z=0…

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y= 11e²x, y(0) = 1, y'(0) = 1 2x 7e -7.x +…

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Q: Evaluate fetanx sec² x dx

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Q: Use a sum or difference identity to find the exact value of the expression. tan 75°

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Q: The function s(t) describes the motion of a particle along a line, for any time t ≥ 0. s(t) = t²-5t…

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Q: nd an equation of a plane passing through the following 3 points (1,-1,-1), (-4,1,4), (3,5,3)

A: topic- equation of plane through three points equation of plane passing through three points…

Q: ind the directional derivative of the function at P in the direction of v. (Give your answer correct…

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

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

Q: 2. A function is said to be if, graphically speaking, you can trace the entire curve without any…

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Q: Suppose S. f(x) dx = 36, [₁² f(x)dx = 12, ²9(1 1. (2f(x) + +12g(x) — 4h(x)) dr g(x)dx = 24, and h(x)…

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Q: Sketch the region enclosed by the curves and find its area. Enter the exact answer. Area = y = 2x²y…

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Q: Dada la función f(x) = (a) Determine dy dx (b) Encuentre la ecuación de la linea tangente a x = 4 y…

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Q: Choose the direction vector for which the function f defined by f(x, y)= sin(5x) cos(3y) has the…

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Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

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Q: Solve the given initial-value problem. y(x) = 7e y" + 6y' - 7y= 11e2x, y(0) = 1, y'(0) = 1 2x -7.x +…

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Q: A chemical reagent is introduced into a bacterial population, and t hours later the number of…

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Q: Suppose that over a certain region of space the electrical potential V is given by the following…

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Q: Find the radius of convergence, R, and the interval of convergence, I, of the following series. (1)…

A: (1) The given series is ∑n=1∞n(x-1)n

Q: find an equation in spherical coordinates for the equation given in rectangular coordinates x^2 +…

A: We have to find spherical coordinates form

Q: Find z = f(x, y) and use the total differential to approximate the quantity. (1.96)2(8.98) 2² (9)

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Q: Find the average rate of change for the function over the given interval. y = ex between x = -2 and…

A: topic- average rate of change of function over interval Note: As per bartleby guidelines,we are…

Q: Use logarithmic differentiation to find the derivative of y y = X X+7 OA. OB. O C. (3)√ 2 7 O D. X…

A: topic- differentiation properties of log used:log(ab)=blog(a)logab=log(a)-log(b)derivative formula…

Q: Find the general indefinite integral. (Use C for the constant of integration.)

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

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Q: 2. A circular cylindrical hole is bored through a solid sphere, the axis of the hole is being a…

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Q: 2/4 + ²/81 + ²/1/729 t. Ⓒ274

A: 2.Solution:29+281+2729+.......29+292+293+.......this series is geometric series.Common…

Q: Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate…

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Q: Question 6 Find the indefinite integral below. (3³¹-5sin - 5 sin(5t)j +15cos(5t)k)dt Do not include…

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Q: Find the double integral that will compute for the area of region bounded by x = 0, the x = √√y √4-y…

A: Explanation of the answer is as follows

Q: Graph the function and the indicated tangent line. Graph f(x) = -4x2 and the tangent line to the…

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Q: Given the function xye9-sin² ecos² fxx of f is equal to 0. f(x, y)= The second derivative Select…

A: A detailed solution is given below. fx = partial derivative of f(x,y) with respect to x. fxx =…

Q: Evaluate the definite integral. 3 1₁(x-41 4|x) dx

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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: Select the correct steps when differentiating from first principles. O a. O b. O C. O d. lim 0+x lim…

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Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule with n = 4. Compare…

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Q: Suppose a. ® Г f(x)dx = 36, [ f(x) dx f ' = f(x)dx = 12,

A: The given integral values,    ∫09f(x)dx=36 and ∫79f(x)dx=12

Q: Evaluate fx and fy at the given point. 5xy f(x, y) = (1, 1) 6x² + 3y²' fx(1, 1) fy(1, 1) = (No…

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Q: For the IVP, y'=f(x,y), y=yo, x=xo, iff and df/dy are continuous discontinous defined undefined then…

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Q: Utilice la regla del producto para derivar y = (2x² + 2x + 1) (3x - 4) Llene los blancos (sombreados…

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Q: f" s [0, π]. Also, find the smallest value of x at which the average value occurs. Given that sin…

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Q: Use the half-angle identities to evaluate exactly. sin 112.5° sin 112.5° = (Simplify your answer.…

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

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Q: 5. j(4x²-5x+4)*(8x-5)dx 6X dx x ²-5

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Q: 15. Show that the equation, 2³ + e* = 0 has exactly one real root.

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Q: Question 3 [ For the system of linear equations -3x + 5y = 4 ny + 12x = -16 a) [: Find the values of…

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