Let f(x) = 2-x 3 (-(x-1)² if x < -1 if -1 ≤ x ≤ 1 . Determine the following if x > 1

Q: Solve the initial value problem using auxillary equation 22. y" + 2y' +17y=0; y(0) = 1, y'(0) = -1

A:

Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

A: Given limit is limx→0+6sin(x)4ln(1+x)

Q: Solve the exact equation ( 1⁄2 + 2x) dx + ( + + 2y) dy = 0. x Y The solutions are of the form F(x,…

A:

Q: . Given that y = 3x - 7 is tangent to y = f(x) at x = 2, find the tangent line to y = xf(x) at x =…

A:

Q: 3 35 SiÁ¹ √x dx

A:

Q: K Use the given graph of the function to find the function information. (A) Intercepts (B) Vertex…

A: Given:

Q: x3 x² + 1 dx

A: Given, ∫x3(1 + x2)dx

Q: 5. The length of a curve from x = 1 to x = 4 is given by [√₁+1 (B) y = ln x the curve contains the…

A:

Q: If f(x) = f'(x) = f'(1) - 2x+2 6x+5 find: 2 (6x + 5)² Question Help: Video Submit Question Jump to…

A:

Q: The graph below shows the profits of a small home business for the years of the decade of the…

A:

Q: The answer is not clear

A: we need to differentiate the function.

Q: Give the exponential form of the equation. f(x)=log_(4)(x-3)+5 y=4^((x+3))-5 y=4^((x-5))+3…

A:

Q: Find an equation for the line that passes through the points (-1,0) and (9, 30).

A:

Q: Find a + b, 2a + 3b, |a], and la – bl. a = 5i - 6j + 5k, b = 2j - k a + b = 2a + 3b = |a| = |a - b =

A: NOTE: Refresh your page if you can't see any equations. . here we have .

Q: Evaluate the following limit. Enter the exact answer in fraction form, if necessary. To enter ∞o in…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  the degree of the…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: Write the equation of the sphere in standard form. x² + y² + z² + 4x − 6y - 6z = 3 Find its center…

A:

Q: how to expand (1-y)^1/2 in powers of y. please solve it in details, I don't just need the final…

A:

Q: How do you write out b

A: We need to provide the explanation of sub-part b.

Q: f(x)=2x2 + 5  domain: range: Thank You! :)

A:

Q: Use integration by partial fraction to solve 3+4 (z + 3)² dr.

A:

Q: 4 5g fg 25 y.fig 14841551-800 = 8.162-8.02 0.142 = 0.1 2 decimal Sig. fig what does that mean? I got…

A: We will use concept of significant figure and rounding off.

Q: 6. y = x and x = y² 2+ 1.5- 1+ 0.5- 0 -0.5 y = x x = y² 0.5 1 1.5 2 X

A: Given query is to find the area under the curve

Q: Given then lim h→0 is f (x) = O a b с d f(3+h)-f(3) h -1/3 -1/9 1 X, 3 9

A:

Q: Find h(x) and g(x) such that f(x) = (h o g)(x). f(x)=√√2x+2 Suppose that g(x) = 2x + 2.

A:

Q: Find the linearization of the function z = x√√y at the point (7, 25).

A:

Q: For the following exercises, assume that f(x) and g(x) are both differentiable functions for all x.…

A:

Q: Draw out using base-ten blocks to compute the following. a) 46 +38 b) 115-69

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: 2. If f(x) = and g(x) = sin(x): (a) Find the function (gof)(x) and its domain. (b) Find the function…

A:

Q: Current Attempt in Progress For g(x)=x² + 3x + 2, find and simplify g(4+h)- g(4). g(4+h)-g(4) =

A:

Q: Find the limit. lim (x, y) → (4, -2) X (x²y + 6xy² + 3)

A: Given query is to find indicated limit.

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Sketch of the region: It is forming a disc. So disc method is used.

Q: _4. y=e*, y=0, x=-1, x = 1; about the x-axis

A:

Q: Learning Target Ll: I can find the limit of a function at a point using numerical, graphical, and…

A: Given function:- fx=x2+5x-14x-2

Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

A:

Q: lease show all steps

A: Mean Value Theorem for Integrals. Let f be a continuous function on [a, b]. Then there exists a…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the in Y₁ = x² +…

A: Graph of the function is given and two functions are y1=x2+2x+4, y2=2x+20 We have to find the area…

Q: Write out the form of the partial fraction decomposition of the function (See Example). Do not…

A: according to bartileby we do only first part of multiple there for please re post other parts in…

Q: 3. (1+4e3x)³ e3x dx

A:

Q: The number of antelope in a national park is modeled by the function dA A that satisfies the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The linear density p in a rod 7 m long is 13/√x + 9 kg/m, where x is measured in meters from one end…

A: Introduction: Linear density: Linear density is the measure of a quantity of any characteristic…

Q: What limit must be calculated to find the rate of change of a function g(t) at t = t0?

A: To determine the limit that must be calculated to find the rate of change of a function gt at t=t0.…

Q: ass on a spring bounces up and down in simple harmonic motion, modeled by the tion s(t) = 4 cos(t),…

A: Given query is to find velocity and accepted the spring.

Q: Estimate the area under the graph of the function f(x)=√x + 6 from x = -3 to x = 4 using a Riemann…

A: We need to find out the area under the graph of the function for the given function by using a…

Q: Let the polyhedron P be defined by x1 + x₂ + x4 ≥ 2 -x1 + 2x2 4 3x2 - x3 ≤ 7 x3 + x4 -1 x2 > 0 X3 20…

A: Given: let the polyhedron P be defined by  x1+x2+x4≥2-x1+2x2≥43x2-x3≤7x3+x4≥-1x2≥0x3≥0

Q: Use the Gauss-Jordan elimination method to find all solutions of the system of linear equations 3x -…

A: Given: 3x-9y=36x-18y=6x-1

Q: e. Sketch the graph of the x+3 x²+2x-3 f(x)=2x-1 x+1 x-3 ,x < 2 ,2<x< , x ≥ 5

A:

Q: Find the limit. x²y + xy² lim (x, y) → (3, −2) x² - y² X

A: We need to find out the given limit.

Q: Example 1: Determine the average rate of change between the points (-6,-2) & (3,8).

A: Since the student has posted multiple questions and does not mention any specific question, so we…