3 Find f such that f'(x) = - √x f(x) = f(1) = 12.

Q: Using integration by parts, which of the following options is true of Sx arcsec x dx? Ⓒ / x ² arc A…

A: To use integration by parts for ∫x sec-1(x) dx

Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m − n)] dx…

A: Let's find.

Q: Evaluate the following integrals. 2. √x*+5x³ x+5x³+20x+16 x(x²+4)² dx

A: The given integral is ∫x4+5x3+20x+16x(x2+4)2…

Q: Direction: Provide a complete solution when necessary. A. Solve the following Systems of Non-Linear…

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Q: 4. y ln x + xesin y = 0=

A: Given

Q: Find the length of the parabolic segment r= 6 1 + cos 0 The length is. (Type an exact answer, using…

A:

Q: Plot y = B sin(Aπx) cos(x) with a solid line over the interval 0 < x < 3 with the vertical axis set…

A: close allclear allformatclc A = 21;B = 5;C = 3;y1 = @(x) B * sin(A*pi*x) .* cos(x);y2 = @(x) B *…

Q: 32 Question * (3 Points) The proper transformation for sin²x to make the f sin²x dx readily…

A: substitution

Q: Consider the following. y = 4x³ - 3x2 Find the relative maxima, relative minima, and points of…

A: Given problem:- f(x) =4x3-3x2  To find:- Relative maximum Relative minimum Inflection point Graph…

Q: 4 3 2 +..

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Q: Find the laplace transform of f(t) = 21² +41 - 5 F (s) = F(s) = O O -5s² + 4s + 4 53 -555 +454 45³ -…

A:

Q: x²-3x - 7 √ - (x² + x + 2)(2x − 1) dx

A: Given: I=∫x2-3x-7x2+x+22x-1dx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: Plot each of the given complex numbers in an Argand diagram and label all the necessary parts. Also,…

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: dy Find given that dt x² + y² = 2x + 4y, x = 3 y = 1, and dy = | dt dx dt = 6

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Q: For the following: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the…

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Q: 5. A manufacturer offers to deliver to a dealer 300 tables at $90.00 per table and to reduce the…

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Q: 1. Find the derivatives of the following function (a) y=4²+2√² (b) y=++ 2x+3

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Q: a²z 0²z Determine + Ər² მ02 if z = tan-1 0 r + r r²+02

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Q: 16. (a) 6 dx (b) -10 (c) √² 2) |x - 2| dx (d) 17. In each part, evaluate the integral, given that…

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Q: Find a, and d for each arithmetic series. 61. $20=1090, 420= 102 63. S16-160, a16-25

A: Given that : S 16 = -160 and a16 . = -25.  is for a arithmetic series.   And we find the value of a1…

Q: Find the laplace transform of ƒ (t) = 2t² + 4t – 5 OF (s) = 5s5+484+4s³ 86 OF (s) -58²-4s+4 83 OF…

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Q: Convert the following lines to parametric equation. a) l₁: = (1,0,1) + t(1,0,−2), t = R Z-3 b) 1₂: x…

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Q: 13-16 Sketch the region whose signed area is represented by the definite integral, and evaluate the…

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Q: Evaluate the integral order of integration. NOTE: Enter the exact answer. I fe e² dx dy= = e² dx dy…

A: Given:         ∫06∫y23ex2dxdy  Reversing the order of integration.       y2≤x≤3    y≤2x≤6…

Q: Find the derivatives of the following function (a) y=4²-3+2√ 2x+3 (b) y=2

A: We can answer the questions as below to find derivatives

Q: Use the One-to-One Property to solve the equation for x. - 2x 7 = 4 X =

A: we have to slove the above question and find the value of x

Q: Question 6 Differentiate: y = arccot (x) + arctan 2 + x 1 - 2x 0 1 (E) None of these O:2x O 1-2x

A:

Q: 3. (2 + y² + xy2) dx + (x²y + y + 2xy)dy = 0

A: As per the guidelines I can solve only one question

Q: 4 1. y = cost-sin ¹ t 2. y = (2 tan² 20-1)/²

A: Given : 1) y= cos4t-sin4t2) y=2tan22θ-112   To Find : Derivative of the given functions.

Q: Find the amount of money that accumulates when a one-time lump-sum investment of P = $50, 000 is…

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Q: Using Variable Separable, solve x² (y + 1) dx + y² ( x − 1) dy = 0

A:

Q: Evaluate the iterated integral. 6 [[° (x + y) dy dx

A:

Q: 6. Using a double integral, find the area that is inside the region bounded by r = 3+2 sin and r =…

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Q: 3 Determine the 3rd derivative of the function f(x) = 2√√x-x³

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Q: Given: y = cosh cosh (ex²)

A: Formulas:ddx cos hx =sin hxddx ex =exddx xn = n xn-1

Q: d d Calculate[ri(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly…

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Q: Find the laplace transform of ƒ (t) = 6t³ + 4t² – 3 OF (s) -3s³ +8s+36 84 OF (s) 36s³ +88-3 84 OF…

A: A detailed solution is given below.

Q: du (u² + a²)² √

A:

Q: List all x-values where f is not continuous. lim f(x) = X→∞ g. Is the value of f f(x) dx positive or…

A: e.  From the graph function is not continuous at  x = 3    f. for x→∞   f(x)=1limx→∞f(x)=1

Q: Find the arc length of the graph of NOTE: Enter the exact answer. L = r(t) = √2ti + e-√2tj + 2tk,…

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Q: Evaluate the iterated integral. (x + y²) dx dy THERE

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Q: thout eliminating the parameter t, find a Cartesian equation for the line tangent the curve C,…

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

Q: ام 1. ( - 3x2 + 5x - 7)dx

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: the distance from the point (5,3) to the line 2x+4y+5=0 is

A: solution

Q: Find the derivatives of the following function (a) y=4²+2√²

A:

Q: 3-2ey 3y-zey dy is Зу-2еу {A} - In|3y - e²y|+C The f

A: we have to find the integration.

Q: Determine whether the improper integral diverges or converges. [.. cos(2x) dx converges diverges…

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Q: Find a3 w дх ду дz if w — exyz = 0.

A:

Q: Find the partial derivatives f(x,y)=e* sin(xy) of dx

A: