Find the area enclosed by one leaf of the rose r=2 cos (38). The area is (Type an exact answer, using as needed.)

Q: Given the input-output matrix below, find the output matrix if final demand changes to 600 for…

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Q: Find the derivative of f when f(0) In (cos 60). = 1. f' (0) 2. ƒ' (0) 3. f' (0) = = 4. ƒ' (0) 5. f'…

A: given  f(θ)=lncos6θd dθ(cosθ)=-sinθd dθ(lnθ)=1θsinθcosθ=tanθ

Q: Determine whether the equation is exact. If it is, then solve it. 9t dy + (9 In y + 5)dt = 0 Select…

A: standard form of exact equation Mdx+Ndy=0this is excat if  ∂M∂y=∂N∂xsolution is ∫Mdx+∫(terms of N…

Q: Consider the following function. Function Factor f(x) = 3x³ + 2x2 - 61x + 201 (x + 5) (a) Verify the…

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Q: Let f(x) = x³ − 4x² + 2x − 8. Find the open intervals on which f is concave up (down). Then…

A: f(x)=x3-4x2+2x-8for inflection points f''(x)=0d dx(xn)=nxn-1if f''(x)>0, than concave upif…

Q: 3 Assuming -x³+4y²-5xy = 0 defines y as a differentiable function of x, use the theorem dx 11 dy to…

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Q: Find dydx if y=(5x4+2)-5

A: Given that , y=5x4+2-5 find dy/dx.

Q: The arc length of the curve y = Oe+e-¹ O In(e-e-¹) 0₂ 01+ In(e+e-¹) Oin(e+e-¹) in(x-1) from x = 1 to…

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Q: Solve the given initial value problem. O x³y² + xy³ = 84 O x²y² + ³ = 316 O x²y²xy³ = 348 O x³y²y³ =…

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Q: Suppose f and g are continuous functions such that 9(9) = 2 and lim [3f(x) + f(x)g(x)] = 30. Find…

A: Suppose f and g are continuous functions such thatg9=2 and limx→93 fx+fxgx=30.To find f9.

Q: Find all points on the graph of the function f(x) = 2 sin(x) + sin²(x) at which the tangent line is…

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Q: Find the two x values at which the tangent line to the curve y = x+3 x+2 Smaller x value: Larger x…

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Q: Solve AJKL. K l 61° k 10 46° L Round to

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: QUESTION 2: :0 then find its hormonic conjugate v(z,y). Prove that the following function is…

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Q: (a) Use the Chain Rule to find y' if y = (3x+4)3, then check your solution using another method. (b)…

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Q: The identity of (a-b)^2+(a+b)^2 = 2(a^2+b^2) helped clean things up a lot. However, "ln" has to be…

A: Given,            The curve is rt=e2tcos2ti+4j+e2tsin2tk.To find : Reparametrize the curve with…

Q: 153. A rocket is fired vertically upward from the ground. The distances in feet that the rocket…

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Q: The curve with equation y² x³ +24x²

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Q: 4.) Solve by separation of variables: x' = x cost where x(0) = 1.

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Q: == 3x²y+y³-12x-15y +3

A: Given :fx,y=z=3x2y+y3-12x-15y+3

Q: If F(x) = f(8f(6f(x))), where f(0) = 0 and f '(0) = 1. Find F '(0).   This is for calculus 1.

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Q: Find the following limits 5x³-2x²+9 (a) limx→ 4-x3 8

A: according to bartleby policy we only do first part of multiple questions B=limx→∞5x3-2x2+94-x3if we…

Q: Discontinuous, but continuous from the right, at 4

A: We need to choose correct option.

Q: 3. Suppose f(3) = 2 and f'(3) tangent to g(x) at x = 1. = 8. Let g(x) = r² f(3x). Find the equation…

A: Topic = Application of derivative

Q: Find the derivative of H when and H(x) = (f(x))² – (g(x))² f'(x) = 8 g(x), g'(x) = 5 f(x). 1. H'(x)…

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Q: Does the series Σ 10 n=1 √n converge or diverge? O The series diverges because it is a p-series with…

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Q: 2. Find the difference quotient of f(x) = x³ -1. Simplify until h in denominator cancels out.

A: f(x)=x3-1difference quotient=f(x+h)-f(x)h(a+b)3=a3+b3+3a2b+3ab2

Q: Solve the given differential equation. All solutions should be found. x - 2y X dy dx NOTE: Use c for…

A: The given differential equation is: dydx=x9-2yx  To solve the given differential equation.

Q: 1 0.253 as follows: Let f(x) = −| 8 Jse linear approximation, i.e. the tangent line, to approximate…

A: Given function is f(x)= 1x and the point is a= 0.253. The equation of tangent line at x=a is y =…

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A: To find that there exist a root in (0,1) of given equation.

Q: The temperature T = T(x,y) in °C at point (x,y) satisfies Tx(1,4)= 2 and Ty(1,4)= - 6. If x=e4¹-4 cm…

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Q: (2x+1)dx 2x²+2x+5 2.

A: This is question of integration here rational form is given further calculation is given below

Q: Match the sequence with the given nth term with its graph. 10n n+ 1 an an 0.6 0.4 0.2 +++ -2 eBook -…

A: To match the sequence with the given nth term with its graph. an=10nn+1 an

Q: Find the equation of the tangent line for f(x) is the percentage error compared to what it should…

A: Given: f(x) = x^(2/3) at x = 27  f(29) = ? Equation of tangent line = ?  Percentage error = ?

Q: Solve right triangles and angles of depression. Silver each triangle. Round to the nearest tenth

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Q: Learning Target DC3: I can compute derivatives correctly for trigonometric functions and…

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Q: ← Describe the given region in polar coordinates. R:srs.ses (Type exact answers, using as needed.) B…

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Q: given x dy/dx=2y: y(1)=2; then y(3) = 20. TRUE oR FALSE?

A: It can be observed that the given differential equation is variable separable.

Q: Evaluate the integral -4 √ (z+a) (x + b) dz dx for the cases where a = b and where a ‡ b. Note: For…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = − 4xy + 4y², P₁(6,-1),…

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Q: etermine the derivative of f(x) = 5 arcsin x 1. ƒ'(x) 2. f'(x) 3. f'(x) 5. f'(x) = 6. f'(x) = 4.…

A: Given query is to find derivative.

Q: 2. On June 24, 1948, the former Soviet Union blocked all land and water routes through East Germany…

A: According to our guidelines , we can answer only first three sub-parts. Kindly re-post other…

Q: Let y = 3x² + 5x + 2. Find the differential dy when x = 3 and dx = 3 and dx = 0.1 Find the…

A: To find the differential with given values of x and dx.

Q: The demand for a new computer game can be modeled by p(x) = 59.5-8 In x, for 0≤x≤ 800, where p(x) is…

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Q: Find the derivative of y with respect to the given independent variable. y = log get - log 3 x 히증 11…

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Q: For each of the following equations, find the most general function N(x,y) so that the equation is…

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Q: In the previous Problem Set question, we started looking at the cost function C(2), the cost of a…

A: Given: C(x) = 0.01x3-10x+2000

Q: 2 dy 3x²-x-5 dx (x + 1)(y + 1)' .y(1) = 4

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Q: Use the integral test to determine the convergence c divergence of the series k=1 7 4k+ 2

A: Given: ∑k=1∞ 74k+2

Q: Evaluate the definite integral using Part 1 of the Fundamental Theorem of Calculus. 5 [36 sin (z)dz…

A: H=∫05π36sinxdxwe know  ∫sinxdx=-cosx