Determine all values of a for which 2 1 0 3-a-2 2-0 3 -1 a Select one: O a. 2 and 4 only O b. 4 only O c. 2 only O d. 2 and 5 only

Q: Using identities to simplify completely trigonometric expression below :  tan x (csc x - sin x)…

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A: Given: xdy-ydx=x2+y2dx

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Q: the integral. (Use C for the constant c It sin(t) t sin(t) cos(t) dt

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Q: Let f(x) = 3x + 3 and g(x) = 4x² + 2x. After simplifying, (fg)(x) = 12x2 + 6x +3 X

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Let F(x)= = =[ −7 cos(t²) dt. Use the Fundamental Theorem of Calculus to find F'(x). F'(x) =

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Q: luate the integral. [² ( 3 + 1 0 ² - 1 0²³) OU du

A: Given query is to find the integral.

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Q: If the marginal revenue for ski gloves is R'(x) function. R(x) = = - 0.6x + 50 and R(0) = 0, find…

A: If the marginal revenue fro ski gloves is R'x=-0.6x+50 and R0=0, to find the revenue function.

Q: Find the indefinite integral 3 cos 0(5 tan 0 + 9 sec 0) de. 0(5 tan 0+9 sec 0) d0 = (5t 3 cos 3 cos

A: we know that  tanx=sinxcosxsecx=1cosx

Q: 1) 2² Evaluate ze x² + y² + 2 dv where E is the portion of the ball x² + y² + z² = 1 that is in the…

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Q: Find the area under the curve y = 4x³ over the interval [0, 2]

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Q: 8. Find an orthogonal basis for the column space of the matrix to the right. An orthogonal basis for…

A: NOTE: Refresh your page if you can't see any equations. .

Q: If a sequence C1, C2, C3, has limit K then the sequence e¹, has limit ek. Use this fact together…

A: Given sequence:- bn=n1.9n

Q: Write the Taylor series for f(x) = sin(x) at x = 2 Find the first five coefficients. Co= C1= C₂= C3=…

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Q: Sketch a graph of a = 1 + cos(t), y = 2 + sin(t), 0 < t < 27 . -5 -4 -3 -2 -1 Clear All Draw: 6. 4-…

A: Please see the below picture for detailed solution.

Q: Find the following antiderivative. J dx (x ln x) In (In a

A: To evaluate the antiderivative

Q: A flu is spreading at a rate of dn/dt = 180t-3t² where n is the number of people affected at any…

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Q: Find the most general antiderivative or indefinite integral. 10x13 10x√13 dx =

A: To evaluate the given integral

Q: 8.) 3 -1x + 5 S²₁ dx

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Q: 6. Use the method of Lagrange multipliers to find the points on the Sphere are closest to x² + y² +…

A: Given equation of sphere x2+y2+z2=36 let  any arbitrary point on sphere is  (x,y,z) now distance…

Q: Find the domain of y = log(4 - 3x). The domain is: Ox≤ A Ox> A Ox ≥ A 0x<A where A = 3x X syntax…

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Q: Evaluate the surface integral positive (outward) orientation. SS.F. F. ds for the given vector field…

A: Let's find flux across S.

Q: If cot(x)=8/11 (in Quadrant-I), find cos(2x) = ------ (Please enter answer accurate to 4 decimal…

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Q: 2y"+y'-6y=0?

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation is

Q: u = 57 - 5] + k and 7 = 27 + 14k.

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Q: Find the value of if the limit exists. 3x - 15 lim x+5√√x - √5 1. limit 8√5 2. limit 30 3. limit =…

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Q: The graph of f(x) = x² + 1 is given below.

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Q: 19. Simplify the expression 52+log5 (2) completely.

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Q: Suppose that the monthly marginal cost for a USFS approved wildfire water pump is C'(x) = 40x + 715…

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Q: Determine the domain of the function of two variables f(x,y)=√y + 5x. The domain is {(x,y) (Type an…

A: The given function fx,y=y+5x. We have to find its domain.

Q: Sketch a graph of x = -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -4 -5 - 2t2, y = t - 1. 1 2 3 est 4 5

A: Here is the solution.

Q: Answer the following questions about the function whose derivative is given below. a. What are the…

A: To solve the following problem and find critical points, maximum, minimum points.

Q: Suppose that C = f(x, t) = 22te-(6-2)t represents the concentration (in mg/liter) of a drug in the…

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Q: Suppose f(x, y) = x²y + 6. Compute the following quantities: f(0, 0) f(4, -3) • f(-3, 4) . . = =…

A: NOTE: Refresh your page if you can't see any equations. . substitute (x,y)=(0,0)

Q: Verify that the hypotheses of the Mean-Value Theorem are satisfied on the given interval and find…

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Q: The equation of motion for a particle moving along the y-axis is given as y(t) = 2t² - 8t + 3 for t…

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Q: Suppose f(t) = 5t² + t + 3. Evaluate: lim f(t) = t→-2

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Q: Find the exact value of each of the following under the given conditions. a. cos (α + B) b. sin (x +…

A: Explanation of the answer is as follows

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: we will find the required.

Q: 5. Determine whether the series is convergent or divergent: 3√√n 1+3n³/2 n=1

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: Find the general solution/ particular solution. 1. (D²+4)y=4 cos²x y(0): .y'(0) = 2

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Q: Given that sinθ=√75/10sinθ=7510 and cotθcotθ is negative, determine θ and cotθ. Enter the angle θ in…

A: To find the angle θ and the value of cotθ