Find the derivative of the function. f(x) = 2e³x-1

Q: h(x): x² - 7x + 10 x-5 a x 5 x=5 8. Let for some constant a. If h is continuous for all real…

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Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

A: A piecewise function is given and here we need to find out that limit exists or not at x=1 and also…

Q: (4) Suppose V(t) represents the volume (in gallons) of water in a tank at time t, where t is the…

A: Given: Suppose V(t) represents the volume (in gallons) of water in a tank at time t, where t is the…

Q: Please solve this 100% Correctly and ASAP. Thank you Find the slope of the tangent to y = 5-x at the…

A: Given function is y=5-x We have to find the slope of tangent at y=0.2

Q: 4. Check to see if the equation is exact. If so, Solve and check: {Exact} (2e²x + 2xy) dx + (x² −…

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Q: Find the arc length of the curve x = 5 cos(5t), y = 5 sin(5t) with 0 ≤ t ≤ π.

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Q: (a) Let R > 5 and let CR be the closed, anticlockwise contour obtained by joining the line segment…

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Q: The Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and…

A: Given, px = 1.60x for  x ≤ 301.30x+k  for  x > 30  We have to find the value of  k such that…

Q: Use the chain rule to find dw dt dw dt W = In (√x² + y² + z²), x = 9 sin(t), y = 8 cos(t), z = 5…

A: W=lnx2+y2+z2 x=9 sin(t) y=8 cos(t) z=5 tan(t)

Q: Let ux² then dx = du 2x and so 2 2 du S ƒ ze²³d² = ƒ re² de S xe dr xe" 2x 0 0 1 S = (²-1) e" du

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Q: 1. Verify that y = e²x — e-* −1 is a solution for y" - y' -2y = 2

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Q: At two points on the curve y = x3 − 6x2 + 8x − 1, the slope of the tangent line is −1. Find these…

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Q: Suppose Vf(x, y, z) = 2xyze+²; 2xyzex²; + zet²j + yex² k. If f(0, 0, 0) = 1, find f(3, 2, 2).

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Q: You wake up one morning, and find yourself wearing a toga and scarab ring. Always a logical person,…

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Q: f(x, y) = 2e cos y, (a, b) = (0,7), and v = (5,3).

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Use the graph of f shown to the right to find the limit. If necessary, state that the limit does not…

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Q: Use the graph of F to find the given limit. When necessary, state that the limit does not exist. lim…

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Q: Suppose 4²x = 12. Then x = A. In12 OB. (√12)³ 3 OC. 3 D. 109412 E. 09122 2

A: 1). logbxa=a·logbx  where x,b>0, b≠1 2). logbb=1

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: Solve the given differential equation by separation of variables. (ex + 1)²e-y dx + (ex + 1)4e¯x dy…

A: ey+12e-y dx + ex+14e-x dy = 0

Q: For all positive x, (Hint: Think change of base!) A. log2x OB. 10842 = 1/ C. log24 = 2 10g4x 1og2x…

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Q: A bicycle wheel has radius R. Let P be a point on the spoke of a wheel at a distance d from the…

A: Given          parametric equations…

Q: A separable differential equation is a first-order differential equation that can be algebraically…

A: Separable differential equation = ?

Q: The revenue, in dollars, derived from the sale of a units of device model SDP732 is given by…

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Q: x^2 - xy + y^2 = 3, find y'' Step by step solutions.

A: Given: x2-xy+y2=3 To find y''.

Q: Without graphing or solving for the inverse equation, list the transformations of the inverse of…

A: y = - sin(x+1)+3

Q: I The region formed by y = 3x - ³y = 2, and y-axis is revolved around the y-axis. Find the volume.…

A: The region is formed by the curves, y=3x-x3y=2x=0 y-axis Shell Method formula- The volume of a…

Q: 2.5 2x dx 9-x²-8x

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

Q: 2. Determine the cartesian equation for a line that passes through the point (4,-3) and is…

A: The line passes through the point 4,-3 and is perpendicular to the line r→=2,-3+t5,-7 Therefore, the…

Q: Consider the following graph of y = f(x): 20+ 0 -20 -404 -60€ I only Il only 6 Which of the…

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Q: 3. A rectangular picnic area of 8000 m² is being constructed by the Parks Commission along the edge…

A: Let side opposite the river denoted by x Let other side is denoted by y As we know that area of…

Q: 1. Which of the following is NOT true about how f(x) = sin³¹(−4(x+6)) + 8 compares with its parent…

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Q: As a hardworking student, plagued by too much homework, you spend all night doing math homework. By…

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Q: Taylor Power Series 5. Find the first 5 terms of the power series Σ (-1)^(n+1)(x-2)^ 222 'n=0

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Q: Given the function f(x) = -2x³ +96x + 1, determine the intervals where the function is increasing…

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Q: Find the scalar equation of the plane that contains the points A(0, 4, -1), B(6, 2, 5) and C(3, -1,…

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Q: Determine the derivative of the following exponential function d. f(x)= 10* (sin sin x)

A: We have to find the derivatives of the function.

Q: Determine the slope and the equation of the tangent to the curve f(x) = sin(x) + sin(x) at X = π

A: The curve is fx=sin2x+sinx at x=π.To find : Determine the slope and the equation of the…

Q: onsider the force field F(x, y, z) = xi + yj + zk. Compute the work done in moving a particle along…

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Q: r(t) = ti+t²j+ + 1 {/f²k 2

A: Solving the problem

Q: Quadratic equations are not nol in the form f(x) = ax²+bx+c to find (h, k). Begin by completing the…

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Q: The vectors and have lengths 2 and 1, respectively. The vectors a +56 and 2a - 3b are perpendicular.…

A: The vectors a→ and b→ have lengths 2 and 1 respectively.The vectorsa→+5b→ and 2a→-3b→ are…

Q: Let Find e such that lim f(t) exists. t 2 The cis f(t) = 4 1 2t t + c for t 2

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Q: 2. For the vectors a = (1, 2, 3), b = (2, 1, 3), and c = (1, 1, 0), show that the following is true:…

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Q: Find the antiderivatives. Show any substitutions. [(7x+3) dx

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Q: A tank, shaped like a cone has height 4 meters and base radius 3 meters long. It is placed so that…

A: This is question of calculus. Here cone is given  And water in cone given  We have to find work for…

Q: In this problem, y=c₁ex + c₂e-x is a two-parameter family of solutions of the second-order DE y" - y…

A: Given that ,   y = c1ex + c2e-x  is  a solution of the differential equation y''-y =0. We have to…

Q: etermine the moment of force F about point A. = 260 N swer: M₁ = (i 0.55 m 0.50 m i+i j+ i k) N-m

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Q: Find the area between the curve y = y 2.0 1.5 1.0 0.5 1 square units y = 2 1 x5/4 1 X5/4 3 and the…

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Q: 1 Is the function given by g(x) = - X+5 continuous over the interval (-3,3)? Why or why not? Select…

A: g(x)= 1/(x+5) We have to find g(x) is continuous or not in (-3,3)