Lety = f(x) x-e- 2. On the graph of y=f(x), find the point with x = a where the tangent line passes through the point (0, 2) = Enter the y coordinate of the point of the tangency, i,e, the value of f(a), in the blank below. Round your answer to two decimal places.

Q: Use the information to find and compare Ay and dy. (Round your answers to three decimal places.)…

A:

Q: Evaluate the Riemann sum for f(x) = x³ - 6x on the interval [0, 3] taking 6 subintervals and using…

A:

Q: Evaluate d (√Vin(49-x²)) dx

A:

Q: Determine whether the equation is exact. If it is, then solve it. (cos xsin y-2x)dx + ( sin x cosy -…

A:

Q: Classify the equilibrium solutions as asymptotically stable or unstable. dy dt = y(y-4)(y-5), yo ≥ 0…

A:

Q: Prove the identity. cosh(x) + sinh(x) = ex cosh(x) + sinh(x) = 2²/²/(₁ x + e -x) + ²/² ( 1 = 2/(1 ||

A:

Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable…

A:

Q: Evaluate the definite integral. 3 6³|| ti + t²j| dt

A: To evaluate the following integral.

Q: The function y(t) = 4e³t - 2e5t is a solution (but not the general solution) to y" + py' + qy = 0.…

A:

Q: Use the Second Fundamental Theorem of Calculus to find F'(x). • L₁ VE 4 + 4 dt Vt Step 1 F(x) = Note…

A:

Q: Find the derivative of g u g(x) (2)=√1² +38 du u 5

A:

Q: 7. Find the following derivatives. a) In(x² + 1) dx c) y = 4log3 (x²) b) E = 25,000.101.5M d) Use…

A: Find the derivative.

Q: A. Evaluate the following limits: 3x²-2x-8 x-2 ii. lim 4x²-3x² +5x-2 i lim 4x²+x-7 5x² +7x+1 i lima

A: Since you have posted multiple question, which are not interlinked so i have solved the first…

Q: Find شمار 2 dx y = 5x4 4 -7x

A:

Q: Determine whether the equation is exact. If it is, then solve it. (3x²y+6) dx + (x³-5) dy=0 Select…

A: Consider the given differential equation.

Q: 72-75. {Use of Tech} Equations of tangent lines a. Find an equation of the line tangent to the…

A:

Q: 5. Evaluate the following integrals. 3 1 3 (a) Sò Sở 5g®ex® dady; 35/2 3 (b) 2/5 sin(y) dydz. So…

A: To evaluate the following integral.

Q: Find the following using the table below. x 3 4 f(x) 3 5 1 f'(x) -5 2 -4 1 g(x) 1 4 2 3 g'(x) 3 2 -1…

A:

Q: The function y=f(x) is given by a piecewise defined function shown below if x 2 f(x) = { Suppose…

A:

Q: Solve the IVP. 1. (sin x) y' = (cos x) y + 1, y(7) = 0

A:

Q: Differentiate the function. Dy/dx y=1/(5x+8)^3

A: y=1(5x+8)3

Q: Let f(x) = x+1 Write your answer completely simplified and in factored form. f'(x) =

A:

Q: 2. The value of a copy machine is $9565 when it is purchased. After two years its value is $7680.…

A:

Q: Let f(x) = 3 cos x ƒ'(x) = 7π 6 - 8 tan x

A:

Q: Use implicit differentiation to find the derivative of y, where y is a function of x defined by the…

A: 3x2+9xy2=5x3

Q: 1=6 | = X x + ₂ ht ₂ x 1 + x) dx + xydy = 0

A:

Q: Let f f(x) dx = -3, f¹ f(x)dx = -4 and g(x)dx = 6 and ¹ g(x)dx = 2. Then evaluate * (7 f(x) — 28(x)…

A:

Q: Find a polynomial of degree n that has only the given zero(s). (There are many correct answers.) x =…

A: The given zero is The degree of the polynomial function is This means the multiplicity of the zero…

Q: Let R be the region enclosed by the curves y = x 2 and y = √ x. Find the volume of the solid…

A:

Q: Consider the integral 1² Estimate the integral using the Trapezoid rule and n=4 intervals. (x5 -…

A: Approximate the integral ∫−22(x5−10x3−1)dx with n=4 using the trapezoidal rule.

Q: B. Given the function defined by f(x)= continuous at: i. x=1 ii. x=3 (3x-2 5x-1 2 2x-3 x23 1<x<3,…

A:

Q: Given y = f(u) and u = g(x), find y=8u+1, u = dx (글)x 2 || 3 + dy ᆞ = f'(g(x))g'(x). dx

A: According to Bartleby guide line we only do first part of multiple questions.(A) y=8u+1,

Q: please solve (b)

A:

Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A: To find a linearization at a suitably chosen integer near a at which thegiven function and its…

Q: Use the graphs of f(x) and g(x) to answer the questions below. Note - the graph of f(x) has a corner…

A: Given: Let To Find: To find the following:

Q: et f(x) x8(x-4)³ (x²+3)8 Use logarithmic differentiation to determine the derivative. ƒ'(x) =

A:

Q: Find the volume of the solid generated when the region in the first quadrant enclosed between the…

A: Region is bounded by  y=x and y=x2Rotating the region about line y=2

Q: 23-51. Calculating derivatives Find the derivative of the following functions. 23. y= sinx+cosx 24.…

A:

Q: Solve the second order differential equation xy" + y' = = x for x > 0.

A:

Q: Sym 3. A. Is the function 3 = x + 2x y = C₁ x = y² + 1 Even, Odd, or Neither? le cast B..y = x²³² +…

A:

Q: 60 50 40 30 20 10 10 20 30 40 50 60 70 80 90 100 110 120 The daily receipts R( t) in millions of…

A:

Q: The value of parameter k For the differential equation to be exact, it corresponds to…

A:

Q: Find the Maclaurin series of 00 Ε n=0 Τ sin(t) t3 - dt.

A:

Q: Consider the function f(x) = 10√x+2 on the interval [2, 9]. Find the average or mean slope of the…

A:

Q: The unit cost, in dollars, to produce bins of cat food is $12 and the fixed cost is $23546. The…

A: Given that the unit cost, in dollars to produce bins of cat food is  and fixed cost..The price…

Q: If a rock is dropped from a height of 72 ft, its poistion t seconds after it is dropped until it…

A:

Q: Determine whether the equation is exact. If it is, then solve it. 4t y dy + (4 In y + 9)dt = 0 A.…

A:

Q: Find the derivative. Note that we have not learned the "quotient rule" yet, so use algebra to…

A: According to our guide line we do only the first part of multiple questions. Please re post the…

Q: (It cosx) y when X = sin x (sinx + sin x cos x - y) ¹|2 y = e 2

A: The given differential equation is

Q: Find the indefinite integral. (Use C for the constant of integration.) √xe7-x برای dx

A: