Evaluate the integral. | cos (x)dx

Q: Find a parameterization for each of the following surfaces: (a) æ² + y² + z² – 4x – 6y = 12 (b) 2x² ...

A: We have to find the parametric representation of the following surfaces: x2+y2+z2-4x-6y=12       → ...

Q: (2x+5)² 19. What should be the rewrite of the integrand of S -dx so that the resulting integral is x...

A: Given query is to rewrite the integrand in integrable manner.

Q: Let 2(r, y) = 3e" sin(y) where a = t° & y = 3nt. %3D %3D dz by first finding dt dy and using the cha...

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Q: Suppose that the curve y =( x^4)/8 + 1/(4x^2) on the interval [1, 2] was revolved about the x-axis. ...

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Q: 19. A rock thrown into a still pond causes a circular ripple. If the radius of the ripple is increas...

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Q: Determine the equation of the curve whose tangent line at any point (x,y) is e* – sin x and passes t...

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Q: The Laplace Transform of

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Q: Determine the amplitude, period, vertical shift and an equation involving the cosine function for th...

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Q: Solve the given linear differential equation with constant coefficients. Solve each and show complet...

A: Its A.E. is D4 – 4D3 + 7D2 – 4D + 6=0                            (D2+1)(D2-4D+6)=0 Now, D2+1=0      ...

Q: Solve each equation for x. (For each answer, enter an exact number. (a) e5x + 9 - 4 = 0 X = (b) In(4...

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Q: What is the position function?

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Q: The table below shows the cost, C, of selling x cups of coffee per day from a cart. Determine if the...

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Q: Question 8 ... (sin x – 1) dx + | (cos x + 1) dx = 4 C.) – 1 D.) - (1+) А.) —89 В.) —91 2 A A в) в D

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Q: 5. If f cb 5dx + 4 V8x? . = 2, what is the value of b? a.) 2 b.) 4 c.) 8 d.) 9

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Q: 81 구 4 The graph of f(x) is shown in red. Draw the graph of g(a) = f( – x). -8 -7 -6 -5 -4 -3 -2 -I ...

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Q: 19. Find the total area between the parabola y = x² - 4x, the x-axis, and the ordinates x = -2 and x...

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Q: Let z = f(x,y) = 6x - 9xy + 4y. Find the following using the formal definition of the partial deriva...

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of th...

Q: Evaluate the integral fw(2w + 3)² dw A.) w+4w3+w2 + C B.) w+2w3+9w2 + C C.) w2(w2+4w+9/2) + C D.) 2w...

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Q: In Problems 63-68, find f' (x) and find the value(s) of x where the tangent line is horizontal. 65. ...

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Q: g(x) = 2f(1 – x) +3. find a correct order of the following ransformation: reflection in the y axis h...

A: Given query is to find the transformation applied.

Q: 6x³ – 1 у — 2х + 1 3x* - 4

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Q: Find the area of the region that lies inside the first curve and outside the second curve Note: show...

A: The given curves are: r=2+sinθ         and        r=3sinθ

Q: Question 19 An object is shot upwards from ground level with an initial velocity of 3 meters per sec...

A: Here ,              We have given that an object is thrown vertically upwards with an initial veloci...

Q: P(#) Question 4: When working with rational functions of the form f (x) = and the function does inde...

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Q: dy +7"y – 7= 0 can be classified as dx The differential equation order 1, linear, and homogeneous or...

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Q: (b) A series RLC circuit is shown in Figure Q4 (b) where R=4Q, L = 0.5H, C=0.1F,E(t) =10 V and i(0) ...

A: we have given a series RLC circuit with a voltage source L=0.5H C=0.1FR =4 ohmE =10 V

Q: Compute the partial sums S2, S4, and S6 of 1 1 + 3.4 1 1 + + 5.6 2.3 4.5 (Use symbolic notation and ...

A: Given:-     To find:- S2  S4  S6

Q: Write an equation for a cost function where the fixed costs are $2300 and the variable costs are $20...

A: Given  Fixed costs =$2300  And variable costs=$20 per unit  Let's total unit is X then  Equation of ...

Q: Show Intro/Instructions Suppose f is a quadratic function that has roots at 3 and x = 6, and f(0) = ...

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Q: A particle moves along a straight line and has acceleration given by s" = 5t. Its initial velocity i...

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Q: Write each of the given numbers in the form a + bi : (a) e- i, e(1+i27) (b) el-1+) i, (c) ee i.

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Q: Find the antiderivative of 5$sinx ln 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin...

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Q: How is the angle of a right-triangle changing as the adjacent side is changing? de Assume that the s...

A: Given, Adjacent=x Opposite= 20 Angel= θ

Q: (sin x 1) dx + (cos x+ 1) dx = C.)-1 D.) - (1+) A.) -89 В.) -91 A B в) А

A: Given:       ∫-π40sinx-1dx+∫0-π4cosx+1dx Apply sum rule:         ∫fx±gxdx=∫fxdx+∫gxdx      =∫-π40sin...

Q: dy When solving the Bernoulli DE: x - = , which of the choices is utilized for (1+x²)y substitution ...

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Q: a. lim g(x) = x→3+ Preview b. lim g(x) x→3 Preview c. lim g(x) = Preview

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Q: In Problems 17-34, use implicit differentiation to find y' and evaluate y' at the indicated point. (...

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Q: To evaluate f dx, the integrand can be transformed to 1-sin?x

A: Follow the procedure given below

Q: Evaluate the following (general) antiderivatives, using an appropriate and explicit substitution: Hi...

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Q: Solve the differential equation (FODE)

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Q: Find fy (x,y,z), fy(x,y,z), f_(x,y,z), and fyx(x,y,z) for the following. f(x,y,z) = 3x* + 3xy - 5z

A: We need to find derivative of given function.

Q: 11.Determine the equation of the curve whose tangent line at any point (xy) is e* – sin x and passes...

A: Given problem:- Determine the equation of the curve whose tangent line at any point (x,y) is ex -sin...

Q: Find equations of all lines having slope - 1 that are tangent to the curve y = x-5 Select the correc...

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

Q: The half-life of cesium-137 is approximately 30 years. If an artifact initially contains 100 g of ce...

A:  decay constant k=ln2half life

Q: questions

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Q: What value(s) of o are an appropriate choice when proving the following limit? lim (2 + 9x + 25) = 5...

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Q: View Policies Current Attempt in Progress If you are outdoors, the wind may make it feel a lot colde...

A: The given data is: Wv=48.17-27.2v0.16     .....(1)

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for th...

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