Given Cost and Price (demand) functions C(q) = 110q+40000 and p(q) = -2.6q + 800, what is the marginal revenue when costs are $70,000?

Q: Find the general and Singular Solution of the Following differential equation y²Lny = xyP+ P²

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Q: 3z (1-4z-2z²)² dz

A: Given, ∫3z1-4z-2z22dz Formulas used: ∫xndx=xn+1n+1∫1xdx=lnx

Q: Question 10 The function y= ax6x³ has a minimum point at (2a, f(2a)). Determine the value of a. - a…

A: Let's find a value.

Q: 3. 2x − y = 4 at point (0,−4)

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Q: You deposit $2000 in an account with 4% annual compound interest. Complete the following, assuming…

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Q: 1. Find of ахду OF f(x,y) = xy (x+y-1) -x2

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Q: Which of the following is an appropriate choice for & when proving the following limit? lim(x² - 2x…

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Q: 2. Evaluate the following 3. S²³S² (5x³y² + 3x) dy dx 3 3 9. O

A: ∫03∫01(5x2y3+3x) dy dx

Q: 9. ✓ (at x = ()) (at x=-2) 10. ✓ 2 (for all values of x) (at x = 3) 8.

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Q: ered # tion Bi Q) choose one only 1. If (x + y)² = x² + y² prove that = - dx 2. If y = sin³ () cos³…

A: To find the differentiation of given functions.

Q: 1. ļ | sinh 3x dx

A: The objective is to evaluate the integrarion.

Q: solve by the method of undetermined coefficients. b.) y''+4y=5sin(4x)

A: We need to find D.E.

Q: A) Suppose that f(5)=-8, g(5)= 2, f^’(5)=10 and g^’(5)=-4, find h^’(5)=, if h(x)=[f(x)+2g(x)]^4 B)…

A: Suppose that f(5)=-8, g(5)=2, f'(5)=10, g'(5)=-4

Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?

A: To find the component form of the vector whose magnitude and direction are given.

Q: Let S be the collection of points (x, y, z) that satisfies all of the following inequalities: 0 ≤ x…

A: Here Z is function of x and y so first we have to integrate w.r.t z then x and y.

Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y =…

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Q: Given v (2, -9) and w = (7,-8), what is 2w - vv

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Q: 54. Look for the volume of the solid produced by rotating the region enclosed by 1792# T y - x² =…

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Q: 2. A cyclist applies a force F with magnitude F = 50N in the same direction as the vector b = 4 j.…

A: We have to find the vectors.

Q: Give the Taylor series of the function f(x) == 1 3x²

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Q: Three vectors u, v, and w exist such that - + = 0. Determine the value of ū+uw + (-). w, given that…

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Q: Determine the volume produced by the region bordered by 32 IT 15 "1 x² - 4x - 4y + 4 = 0 and y = 1…

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Q: cos sin-cos -d0

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Q: An 84 cm wire is cut into three pieces. The second piece is 4 cm longer than the first piece and the…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…

Q: Show that the substitution a = e, y = et converts the equation ди ² (0²²) + 1² (0²5²) +- (3) +v(u) =…

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Q: 6. I. Evaluate each determinant. тут 3-3 4 1 -5 0 -1 -4

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Q: V. Directions: Find the extreme values of the given functions within the indicate 42-44. ƒ (x) = x²…

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Q: Let a(t)=20e^-0.3t ( in milligrams) be the amount of drug in a patients body at time t where t is…

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Q: 2. You wish to construct a topless crate with a surface area of 230in² and the base with one side…

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

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Q: The equation y-(5)=2(x-(3)) in slope intercept form is y=?

A: The equation y-(5)=2(x-(3)) in slope intercept form is y=?

Q: 3. SET-UP the definite integral that will give the area of the region specified using (a) z as the…

A: topic- area bounded by curves

Q: Solve the equation: (D² - 4) (D+2) y = 0 Oy=c₁e²x + c₂x²x + c3e-²x Oy=ce+exe + c3e

A: To solve the given differential equation.

Q: 5. Find the telescoping sum 2 k=3(k+1)(k-2)

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Q: x = 1. 2. Find the derivative of f(x) = 3x² - 5x at x = 1 using the formula f'(x) = lim f(x)-f(xo)…

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Q: In 7 + 4√3 2.63391 ≈

A: The given expression is  ln7+43

Q: Given Cost and Revenue functions C(q) =q³-9q² +53q + 5000 and R(q) = -3q² + 2500q, what is the…

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Q: 3. [7.3] Determine the dot product between the two vectors below if there are 135° between them as…

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Q: (b) lim *+1 √√2x+6-2 x²-1

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Q: Find the area of the region bounded by the curves y = y = -x² + 4x. 9/4 11/3 12/15 8/3 none of the…

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Q: 4. The boundary of a field is a right triangle with a straight stream along its hypotenuse and with…

A: answer is in next step.  please give a like !!!!

Q: Suppose a state's income tax code states that tax liability is 18% on the first $19,500 of taxable…

A: The tax function,   T(x)=a+0.18xx≤19,500b+0.14x-19,500x>19,500

Q: Find dy/dx by implicit differentiation. (cos X + sin #Y)5 = 49

A: The given equation is;  (cos pi x +sin pi y) 5=49.

Q: 1. Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find: a) u.v b) u.u c) (u.v) v d) angle…

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Q: Find the area of the region enclosed by the given curves. y = 2√√√√x, y = x - 3,x=0, x=4

A: Given y=2x, y=x-3 x=0, x=4To find area of region enclosed between two curves:

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

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Q: 3. A farmer applies x tons of fertilizer and y tons of pesticide to a crop, the yiled will be f(x,…

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Q: Let p(t) represent the population of a major city t years after 1950, as shown in the table and…

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Q: Set up the integrals (No need to compute) for the volumes of solids of revolution by revolving the…

A: Given