Find equations of the tangent lines to the curve X 1 x + 1 that are parallel to the line x - 2y = 5. (Enter your answers as a comma-separated list of equations.) y =

Q: Consider U₂ x²y dA, where R is the region bounded by 0 ≤ x ≤ 2, x ≤ y ≤ x +4.

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Q: 2. x² dx |x2+16

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Q: If a company has total costs C(x) = 10,000+ 15x + 0.2x² and total revenues given by R(x) = 265x…

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Q: Consider x^6 +7xy^2 = 15065, find dy/dt when x = 5, y = -4 and dx/dt = 2 dy/dt = ?

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Q: Find the equation of the tangent plane to at the point (0, 5, 34). z = z = e² + y + y² +3

A: The given equation is; z=ex+y+y2+3 Point (0,5,34).

Q: Let U = 3i−j−4k and V = −2i+4j−3k. Show that U·V is commutative but U×V is not.

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Q: Let f(x,y) = 2x^2 + xy −y^2. Prove that the directional derivative of f(x,y) at point x = (3,−2) in…

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Q: 9y" y(0) = 2 y'(0) = -1 12y + 4y = 0

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Q: Evaluate the integral below taking as the region bounded by y = x and y = x². ]] (3x (3x + 1)dxdy

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Q: Use Newton's method to approximate the x-coordinate of the point where the graph of 4x3 - 10x-5…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given line…

Q: Consider J₁ x²y dA, where R is the region bounded by 0 ≤ x ≤ 2, x ≤ y ≤x+4. R

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Q: Determine whether the integral is convergent or divergent. 100 (x - 6)³ 8 S² O convergent O…

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Q: I 19

A: Given query is to find the inflection points and the intervals where concave down.

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, P4(x) = c = 7

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Q: Evaluate sin (945°) without using the calculator. 1. 2. INGNINGS- 3. 4. 5. None of these 1 6. 2

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x.  f(x)= 17e^x…

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Q: A person drinks a cup of coffee. Assume that the caffeine enters his bloodstream immediately and…

A: The half-life formula is given by, f(t) = (Amount of caffeine initially) [1/2](t/(t1/2)) where t1/2…

Q: Prove: If U AUB and An B = Ø, then A = U\ B

A: we can prove the  given statement .

Q: d (a) / ₁ (t²-1)²dt. -10 -10 (b)/(t²-1)²dt. (c) d dx 32² -10 3x² (t²-1)² dt. d (d) — (t²-1)²dt. dx…

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Q: Use the graph of the function to estimate the interval on which the function is increasing. y -SA-…

A: Increasing Function:  If f(x) is a function, and x1 and x2 are any points in the domain such that x1…

Q: 2y dx (1-y)' 7

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Q: If the rate of change of a population is directly proportional to the square of the population and…

A: If the rate of change of a population is directly proportional to the square of the population and…

Q: Use the Direct Comparison Test or the Limit Comparison Test to determine the convergence or…

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Q: Use linear approximation, i.e. the tangent line, to 1 1 as follows: Let f(x) = and find the…

A: We need to approximate value.

Q: Convert (y) = 5 to an equation in polar coordinates. 7.12 Note: use "t" for

A: Given query is to find the equation of the polar coordinates.

Q: Use polar coordinates to set up and evaluate the double integral f(x, y) = x + y, R: x² + y² ≤ 16, x…

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Q: 6. (a) Let f(x) g(x) = k 4- x Find lim f(x), lim f(x), and lim f(x). Find k so that f(x) is…

A: (a).The given function is:f(x)=x2+2               x<1kx=14-xx>1

Q: If f(x) = (3x -5)e-2x , find f'' (x)+ 4f' (x) + 4f(x)

A: To determine the given value with derivatives and function

Q: At what point (x, y) is the function f(x) = 8x - 5 closest to the origin? Enter an exact answer.…

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Q: (a) Using algebraic division and integration by substitution, or otherwise, show that - dx = e² −…

A: We can evaluate the given integral by using the substitution u = ex

Q: 2 3 S (x+1)² 1 2 x +2x +x+2 -dx ₁

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Q: Solve for the indicated value, and graph the situation showing the solution point. The formula for =…

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Q: Find the gradient of the function y at x = 4.

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Q: If z = sin (₁) functions of u and v. дz ди дz Əv and x = = In(u) and y = v4, find the following…

A: Topic = Derivative

Q: BC cuts the x-axis at D. E is a point on AC such that BA // DE. Given points A(-4,8), B(5,2),…

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Q: (a) Prove that F(x, y, z) = (y² cos r+z³)i+(2y sin r-4)j+(3r2+2)k is a conservative vector field.…

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Q: Suppose an individual makes an initial investment of $2,600 in an account that earns 6.6%,…

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Q: SHOW COMPLETE SOLUTION Find the points of intersection between the circle (x-2)²+(y-6)² = 40 and…

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Q: If z = (x + y)e", x = 3t, y = 3-t², find dz/dt using the chain rule. Assume the variables are…

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Q: Suppose Find the value of f(ln 11). f(ln 11). d da -f(x)=e³a, f(0) = 6.

A: Integrate the given differential equation and then go ahead.

Q: At what point (x, y) is the function f(x) = 2 - 4x closest to the origin? Enter an exact answer.…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: and algebraically why the following two transformations are different.. y = 3f (²x-1) +5 y = 3f…

A: The function is given as   y = 3f14x-1+5     and     y = 3f14(x-1)+5

Q: nd the value of f(e¹0). e¹⁰) e¹0) =_

A: We have to find the value of f(e^10)

Q: 1. Obtain the general solution by the indicated technique: separation of variables 1.1…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use linear approximation, which is mathematically expressed as L(x) = f(a) + f '(a)-(x - a), In…

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Q: A graphing calculator is recommended. X is called a serpentine. 1 + x2 (a) Find an equation of the…

A: To solve the following problem and further plot

Q: Evaluate each expression, using the values given in the following table, X (a) (gof)(-2)- (b)…

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Q: 6. Determine the standard equation of the parabola in Figure below given only its vertex and…

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Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0.21x,…

A: Given P = 14.7e-0.21xwhere P = atmospheric pressure in pouds per square inch x = number of miles…