Find the slope at x = 3 on the graph of 2y - 4x = 9. (a) -4 (b) 2 (c) 10.5 (d) 0

Q: Consider the function f(x) = 2x³ - 5x on the closed interval [-4, -2]. Find the exact value of the…

A: We have to find the slope and value of c.

Q: 14. The domain of the function is y 4 2 -4-20 2 4 x

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Q: Find a plane containing the point (-5,6,5) and the line Calculator Check Answer x (t) y(t) z(t) = =…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: K For the following demand function, find a. E, and b. the values of q (if any) at which total…

A: Given p = 700e-0.2q

Q: Find the length of the curve y=ln(1-x^2) for 0≤x≤1/8

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Q: Find the derivate of the function F(x) = x²(x²-8) a) C 2 6b) f(x) = (5x²³²-7) (6x + 1) F'(x) = c) 5…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find the derivate of the functions a) F(x) = (7x²-9) (2x + 7) f'(x) = b) f(x) = 8x² - 2 8x +3 f'(x)…

A: To find derivatives

Q: you have 2 . DU also can you do explain the integration by part showing what you are integrating

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Q: A water well has an 8-inch diameter and is 180 feet deep. The water is 15 feet from the top of the…

A: Given: Pumping the well dry which is 8- inch in a diameter 180 feet deep for which the water is 15…

Q: Consider the function f(x) = x² + 2 on the interval [0, 1] using the left Reimann sum with n=4. Find…

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Q: Let f(u) = √u and g(x) = u = 4 + 9x². Find (f o g)'(3). (fog)'(3) = (Type an exact answer.)

A: f(u)=u3g(x)=4+9x2(f∘g)(x)=f(g(x))

Q: Solve the differential equation. 2xy + 4x + (x² − 4) d (x² - 4) dy = 0 dx Mangle METALT TANG

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Q: 3. Evaluate the limit, if it exists: lim a. 0 b. 7 x² + x + 1 x+2 X²-2 c. 3.5 d. does not ex

A: H=limx→2x2+x+1x2-2

Q: 17x³ (In x)² dx =

A: The given integral is: ∫17x3 ln x2 dx

Q: Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines…

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Q: dy Find by implicit differentiation. dx x²14xy + y² = 14

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Q: Using the ratio test to determine the convergence or divergence of the series series. O Convergent…

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Q: 1. Find the limit limä→∞ (1 + 3 X 5x

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Q: Consider the function f(x) = 12x5 + 75x¹ – 120x³ +4. f(x) has inflection points at (reading from…

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Q: Find the tangent plane to the equation z = 7e²²-2y at the point (4, 8, 7) 2 II

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Q: (b) x dx dt 1 sin³ (15)

A: Given  x = 1sin8( t5 )

Q: Express the integrand as a sum of partial fractions and then evaluate the integral. 10x² - 1 S 4 X X…

A: Given integral : ∫-10x2x4-1dx To find: The value of given integral using partial fraction. Let I =…

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

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Q: A chemical manufacturer wants to lease a fleet of 27 railroad tank cars with a combined carrying…

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Q: QUESTION 24 Write the expression in expanded form. x2-9 (x+2)2 3 logg O 6 logg(x-3)-6 logg(x + 2) O…

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Q: A lamina with constant density p(x, y) = p occupies the given region. Find the moments of inertia Ix…

A: Solution is given below:

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

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Q: Consider the following equations. y = x, y=x²

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Q: The Fifth Gate After traversing your continuous path, you finally arrive at Gate 5. Your computer…

A: We have to find m'(-1) and n'(6) Where m(x)=f(x).g(x)        n(x)=g(x)/h(x)

Q: 3 Functions fand g are defined by f(x)= XER and |x| |x|+3x 2 g(x)= respectively. (a) Express…

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Q: a) Find all of the critical points of x2 - x - 1 b) Find all of the critical points of x3 - 3x - 2

A: We have to find the critical points.

Q: Sketch the region whose area is given by the integral. Evaluate the integral. 8 sin(0) £726² π/2 J r…

A: .

Q: The Second Gate As you move through the first gate, you can see another gate not far in front of…

A: Given: g(x) = x+5x2-25 The function does not exist when their denominator is zero. That is,…

Q: Find the linear approximation to the equation f(x, y) = 3₁1/ approximate f(4.14, 2.19) xy at the…

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A: We have to find the monotone intervals and relative extremas.

Q: Suppose that f is differentiable at 1 and f'(1) = 1 = f(1). Evaluate x¹ f(x²+x-5) - 16 x²4 lim x-2

A: Given f is differentiable at 1 f'(1)=1=f(1) We are required to find limx→2x4fx2+x-5-16x2-4

Q: 30. Given g(x) = 4x² + 1, use the difference quotient to find the instantaneous rate of change when…

A: Given function:- gx=4x2+1

Q: 1. Find the Cartesian coordinates a. 1 2 I b. -√2₁. 2 3 π

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Q: 2y-³ Find the maximum rate of change of the function f(x, y) = X at the point (1,5)

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Q: (a) Use differentiation to find a power series representation for 1 (6 + x)2 f(x) = f(x): 00 Σ n = 0…

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Q: Describe the given region in polar coordinates.

A: Please see the below picture for detailed solution.

Q: Question 18 Show that the equation has exactly one real solution. 207e+2023 In x = 7724

A: To show that the equation 207e^x + 2023 ln x = π^(24) has exactly one real solution, we can use the…

Q: The cost of producing x bags of dog food is given by C(x) = 900+√700 + 50x²-x where 0≤x≤ 5000. Find…

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Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 4y and y³ = x with y…

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Q: LATIHAN 1 1. Obtain the cartesian equation of the curve by eliminating the parameter a. x = 3t ; y =…

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Q: Differentiate. h'(0) = h(0) = 0² sin(0)

A: Derivative

Q: In this problem, p is in dollars and q is the number of units. (a) Find the elasticity of the demand…

A: pq=16  and p=2demand=pq×dqdp

Q: ind the derivative of the function. y = e-7x In(4x)

A: y=e-7xln4xd dx(lnx)=1xd dx(ex)=exd dx(a.b)=adbdx+bdadx

Q: 1/9 A disease has hit a city. The percentage of the population infected t days after the disease…

A: