cOS X -dx | sin? x

Q: Sm(e*)dx = 6? ¿9 =: What is the value of a so that A.) 0 В.) 1 C.) 2 D.) 3

A: We have to find the value of a

Q: Calculate the first-order differential equation below using transformation y = xv. dy x+3y = 2x – y ...

A: We need to solve the D.E.

Q: To evaluate 3cos x=1 dr. the integrand can be transformed to 1-sin2x A.) S(3cos³x + csc?x)dx B.) 3 c...

A:

Q: Q1 (а) Calculate the first-order differential equation below using transformation y = xv. dy х +3у%3...

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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.

A:

Q: The definite integral (-*+) dx when evaluated is equal to 11 Find the value of a. 12 3Vx a

A: J

Q: 31. x - y = In y; (1, 1)

A:

Q: Given the first-order differential equation as below: (x² +3y² +5)dx +(6xy + 6y + 3)dy = 0 (i) Ident...

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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: (sin x – 1) dx + (cos x + 1) dx = C.)-1 D.) - (1+) А.) —89 В.) —91 |

A: Using formula  ∫ Sin x dx = - Cos x + C ∫ Cos x dx = Sin x + C ∫ xn dx = [xn+1/(n+1)]+C   ∫(Sin x - ...

Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Let's find. 

Q: Find the value of k so that the value of f (2y- 1) dy is 10. 1 4

A: We have to find the value of k. 

Q: Question 7 This is a cuboid. Which of the following is not a net of a cuboid? B

A:

Q: The equation f(x) = e^x – 3x^2 has roots in [3, 5]. Using 5 iterations, find this root using the Bis...

A: fx=ex-3x2a1, b1=3,5------------------------------Percentage true error : True value-Estimated valueT...

Q: d. lim f(x) = x→-3/5 Preview e. lim f(x) = x→1 Preview f. lim f(x)

A:

Q: cos(2x)81-x (x*+1) Given f (x) = Use logarithmic differentiation to find the derivative of the funct...

A: According to question,Given function,fx = cos2x81-x4x2 + 1

Q: What should be the rewrite of the integrand ofSAS dx so that the resulting integral is integrable? (...

A:

Q: Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero betw...

A: We will use the intermediate value theorem. 

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: (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: a and b are positive numbers. a, -4, b.... form a geometric progression. 14, a, b... form an arithme...

A: Recall: Arithemetic sequence : An arithemetic sequence of numbers such that the difference d between...

Q: y dx *1+x²y², 2у 1 + x?y?/ |dy 2х +

A: The detailed solution is given below Thank you 

Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = x2 - 6xy ...

A:

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: pany manufacturing calculators, the cost, revenue, and profit equations are given by C = 90,000 + 30...

A:

Q: Find the value of k so that the value of S,"(2y – 1) dy is 10. 1 2 3 4

A:

Q: For the Ordinary DE y = f (x, y) to be guaranteed to have a unique solution containing the point (xo...

A: We have to choose correct option where differential equation have unique solution

Q: 1 Find the derivative of 24 – 3x² +5 글(21-3교2 + 5)글 (4z3 - 6z) 글 (21-3교2 + 5)굴 This function is not ...

A: We can take logarithmic to solve it easily.

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

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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: The function f(x) = 6x In(1 + x) is represented as a power series f(x) = E > Cnt". n=0 Find the spec...

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Q: dx so that the resulting integral is integrable? What should be the rewrite of the integrand of 1+co...

A:

Q: Using incremental search with x1 = 1.5 and Ax = 0.01, %3D %3D approximate the solution of Inx = = 2-...

A: fx=lnx - 2+xx1=1.5∆x=0.01tolerance=0.05----------------Find: To find 'x=a' such that fa = 0±0.05.  -...

Q: If dx dy and y = 27 14 when x = 1, find y(2). %3D 3x-2

A: ∫x3x-2dx

Q: | (3t + t*) sin(2t) dt 3.

A:

Q: Bin decides to fly to Hono, Maui from Seattle, a distance of 2,678 miles. His plane travels at 567 m...

A:

Q: Let f(æ) = sin(x) and g(æ) = x² . Find (go f)'(x) O 2sin(x)cos(x) O 2xcos(x?) -2æcos(x?) 2xcos(x)

A: Given that f(x)= sinx and g(x)=x2. And we find (g0f)'(x). We know that d(xn)/dx = nxn-1.     Here i ...

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

A:

Q: Differentiate the following functions using the limit method: 1) y = 7x - 3x" +x– 10 2) y = ;r - 8x ...

A: We will use limit definition to find derivatives of given function. Since , we know that f'(x)=limh→...

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

A: Given data: Fixed cost= F= $2300 Variable cost=V= $20

Q: x²-9 Find the limit (if it exists) lim x-3 27-x3 A. B. 9 C. 0 D. DNE

A:

Q: Assume you are given the surface S with equation ? 9 1. 4 O Find the equation of the tangent plane t...

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Q: road length (in kilometers), T is the total county land area (in hundred-acres (Ha)), U is the urban...

A: We will find the number of accidents. 

Q: questions

A:

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: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x² + 10. ...

A:

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: Sketch a possible graph of a function that satisfies the given conditions. f(-1) = -7; lim f(x) = -2...

A: Given that f(-1) = -7. Therefore (-1,7) is a point on the graph .when x tends to -1 from the left si...