1 x²√√x² +9 S dx

Q: s) Let f(x) = ³√x. (a) Use linear approximation at x = 1 to approximate f(0.6)= 30.6. The Linear…

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Q: An airplane hasjan airspeed of 400 km/h and is heading due west. If it encounters a wind blowing…

A: Draw the speed of the plane and wind as vector then find the angle uaing trigonometry formula.

Q: Consider the vector field F = Evaluate r(t) = t²i+t³j, 0≤ t ≤ 2 LE F-dr along the curve C:

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Q: √√² zdy + ydz, where C is the arc of the curve y = e² for 0 ≤ ≤5 Find Calculator Check Answer

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Q: Solve.   y′=2y−4​; y=5 when x=2   y= ​(Type an exact​ answer, using radicals as​ needed.)

A: The given differential equation is y'=2y-4 ; y=5 when x=2

Q: Maximize z = 2x₁ + 7x2 subject to 5X + Xy 540 7x + 2x₂ 560 x₁ + x₂ ≤50 x₁, x₂ 20. C Select the…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use variables   x=x1,…

Q: Consider the vector field F Evaluate = r(t) = t²i+t³j, 0≤t≤2 Calculator .L.F. Check Answer F. dr…

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Q: 2. For n > 4 one has 2n>n².

A: For n>4 one has 2n>n2.

Q: Express = 3 in degrees.

A: Radian to degree conversion pi radian = 180 degree

Q: f(0) = {! 0 2≤1≤3 otherwise. Find the Laplace transform F(s) by computing the following integ 1.…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [t√20 t√2t² +…

A: We need to evaluate the integral: ∫t2t2+3dt This can be evaluated as follows:

Q: Bianca invested $5000 in an account that pays 5% annual interest. Write a function that represents…

A: Let y is the amount  x is the years  SI =( P* R* T)/100  We have  P= principal = $5000  R = rate =5%…

Q: Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an…

A: Fx,y,z=yzi+xzj+xyk

Q: 6. y" +9y = cos(3t), y(0) = 2, y'(0) = 0

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Q: K For the function defined as follows, find a. f(x + h), b. f(x+h)-f(x), and c. [f(x+h)-f(x)]/h. 9…

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Q: Find the tangent plane to the equation z = 4e²² -4y at the point (8,16,4)

A: The given equation is z=4ex2-4y. We have to find equation of tangent plane at (8,16,4).…

Q: 1 0 1 n₁ 2 3 n₂ X Copyright 2015 Cengage Learning. All Rights Reserved. May not be copied, scanned,…

A: To find the area.

Q: valuate [₁ F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to…

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Q: find derivative of f(x) O none of these answers ○/(x² + 1) (2x) O O 4x 33/(x²+1) 2x 3 (x²+1) = √√(x²…

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Q: The function f(t) = 700 represents the rate of flow of money in dollars per year. Assume a 20-year…

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Q: 43. Find the gradient of the function f(x, y, z) = x²e»²².

A: we need to find the gradient  of function f(x,y,z) =x2eyz2

Q: Use a line integral to find the area of the region R. R: triangle bounded by the graphs of x = 0, 5x…

A: Given, the region R is bounded by x=0,5x-2y=0, and x+2y=12.

Q: 15-18 Express the limit as a definite integral on the given interval. 71 15. lim x, In(1 + x²) Ax,…

A: We have to express the given limit as a definite integral.

Q: (a) Find the differential dy of y = tan 3x. (b) Evaluate dy for x 3π/4, dx = 0.3. dx (a) dy = = (b)…

A: a) y= tan(3x) dy/dx = d/dx(tan3x) dy/dx= 3sec2x(3x) dy= 3sec2(3x)dx

Q: A particle is traveling in a straight line. Its position at time t in seconds is given by s(t) = 4√t…

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Q: SLS* 1.5 f(x, y, z) dv where V is the volume of the solid region Q. f(x, y, z) = x + y + z over the…

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Q: Consider the following. C: line segment from (0, 0) to (4,8) (a) Find a parametrization of the path…

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Q: Find the area of the region between the curve x = e13t, y=e-12t and the x-axis, 0 s t s In 9. 13 09…

A: we have given x=e13t, y=113e-12t and 0≤t≤ln(9) To Find: Area between curves

Q: Find the area of the region that lies to the right of the y-axis and to the left of the parabola x =…

A: We have to find the area of the region that lies to the right of y-axis , and to the left of the…

Q: Find the curl of the vector field F = curl F - Calculator Check Answer (5y cos(x), 2x sin(y)) k

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Q: Find the area of the region enclosed by the given curves. y = 16 − x2, y = x2 − 2.

A: Equation of curves,

Q: Find the area between the following curves. x= -3, x= 3, y=e*, and y = 5-e*

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Q: Let bbe as convergent positive series. Which of the following test is successful for determination…

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Q: 4. Verify that the given vectors of this system of ODEs are solutions, and use the Wronskiar to…

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Q: Chapter 7. Find the LaPlace transform. L {t6 + e-6t} 6! A) / + C) - / + -|- S+6 1 s+6 B) 6! gl + D)+…

A: Given that ℒt6+e-6t

Q: At 1 p.m., snail A is 9 ft west of snail B. Snail A moves north at 2 ft/hr and snail B moves south…

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Q: x² - 8x + 12 2 .2 x² - 4x

A: Given,

Q: Solve the triangle. A What is the length of side a? 10 33° 20 a= (Round to the nearest whole number…

A: The given triangle has an angle measure ∠A=33° and side lengths b=10, c=20. We have to find the…

Q: Let f(x) = 3x. (a) Use linear approximation at x = 125 to approximate f(124.7) = 124.7. The Linear…

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Q: A company charting its profits notices that the relationship between the number of units sold, x,…

A: A company charting its profits notices that the relationship between the number  of units sold, x,…

Q: 3) Consider the series 33-n 5-n+1 n=1 i) Show that the given series is geometric series. ii)…

A: Given series is ,                ∑n=1∞33-n5-n+1 we have to show the given series is geometric series…

Q: -4 ()*-(17¹)x (b) x' = 4 9 X

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Q: 1. 45. y = x²-1⁄ln x, In x, [1,e]

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Q: Consider the functions f(x)=8arcsin(52) g(r)=16arctan (a) Find the derivatives of f(x) and g(x).…

A: This topic is related to inverse trignometric relation and their derivative.

Q: Find the indefinite integral and check the result by differentiating- Se²x (2)dx

A: Solution- ∫e2x(2)dx We have to calculate the value.

Q: Use the functions given by f(x) = 53√x - 1 O 1253√x - 1 53√√x + 1 O 1253√√x + 1 05√√x + 1 ○ 1 125 x…

A: given  f(x)=1125x-1given  g(x)=x3

Q: Find fo((x² + 3y)i + y³7). dr where C consists of the three line segments from (1,0,0) to (1,5,0) to…

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Q: Find increasing interval for f(x) = x² - 4x +9 O none of these answers O (-infinity, 2) O (1,…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g'(s) =…

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Q: Find the arclength of the curve x = Y = 12/2² t² with 4 ≤ t ≤ 8.

A: We have to find the arc length of the given curve.