Y = x (x+4)

Q: the sho wh Solve innitial valve problem below: g/1-16y=e4x² g (0) = 10₂y '(a) = 7

A: The given equation is; y''-16y=e4x, y(0)=10, y'(0)=7

Q: Find the value of c such that C = enc = 8. n=0

A:

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of in…

A: Given the polar equationr=θ

Q: Evaluate Lyds, yds, C : x = t², y=t, −4≤t≤ 4

A:

Q: Find the domain and range of the function. 2 g(x)=√x - 7x

A:

Q: 3. Find the solution of the differential equation that satisfies the given initial condition: dy d.x…

A: We solve the given differential equation using the variable separable method.

Q: Integrate f(x, y, z) = xyz along the curve r(t) = 2ī+(3sint)j + (3 cost)k, 0≤t≤ T

A:

Q: Use the properties of limits to evaluate the following limit: T +42+3 lim >C 2² 3

A:

Q: Epidemics. A model for the spread of contagious diseases is obtained by assuming that the rate of…

A: The rate of spread of diseases is proportional to the number of contacts between infected and…

Q: Engineering data analysis show solution * It the total population is 1000 and the tolerance error is…

A:

Q: Given the definition of the function sinh x = the natural logarithm. 2 find an expression for sinh¹…

A:

Q: (a) Consider lim Z→ 8 z²+4 What does the numerator approach? Z What does the denominator approach?…

A:

Q: Find the set up for the integral that represents the exact arc length of the parametric curve =…

A:

Q: 1 2 n(Inn)2 (f) Σ

A:

Q: Password Hints: 11 f f(x) dx = -8 -8 11 S g(x) dx = 12 -8 8 f g(x) dx = 6 -8 11 First Number: (4…

A:

Q: Find y'. y= (6 + X 4

A:

Q: Find [[ cos (² + y²)dA where D = {(x, y) | 16 ≤ x² + y² ≤ 36}. Round your answer to four decimal…

A:

Q: Sketch the region bounded by the graphs of the equations. Find the area of the region. (Round your…

A: The region is bounded by .The aim is to sketch the region and find its area.

Q: Use the Ratio Test to determine whether the series is convergent or divergent. k=1 k!

A:

Q: D(x) = 900-5x is the price, in dollars per unit, that consumers are willing to pay for x units of an…

A:

Q: (d) farctan x dx

A:

Q: Find two unit vectors orthogonal to both ū = (2, —2, 4) and = (0,5, 3). Give exact values (no…

A:

Q: If cos a = 0.439 and sin ß= 0.944 with both angles' terminal rays in Quadrant-I, find the values (a)…

A: Given that  and both angle's terminal rays in Quadrant I

Q: x (e) / Int √x dx

A:

Q: The function shown on the graph above, has the formula f(x) = Prove algebraically or numerically…

A: We need to prove that there is a hole at x=0.

Q: r∞ 1 + x x3 J (F) dx

A: The given integral .The aim is to calculate the integral value.

Q: Let z(x, y) = xey where x = t³ & y = 3₁+ 4t. dx dy dz dt dt dt Calculate dx dt = by first finding =…

A:

Q: Evaluate the indefinite integral as an infinite series. 6 £ ) n = 1 ex - 1 dx 5x 6e(5x") 1-1 ܐܐ…

A:

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 9.…

A:

Q: (b) a = (8, 7, -2), b =(7,-1,7) a.b= orthogonal parallel neither (c) a 12i+ 8j + 4k, b = 9i - 6j -…

A:

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of in…

A:

Q: Use the substitution formula to evaluate the integral. 2x S x/3 3 4 cos x sin x dx

A:

Q: An object's velocity after t seconds is V(t) = 36 - 2t feet per second. Enter an integer or a…

A: The given velocity function is

Q: Evaluate the surface integral below where S is the cone with given parametric equations (x² + y² −…

A:

Q: Use the Divergence Theorem to find the flux of F(x, y, z) = xzi+yzj+3z²k across the boundary of the…

A:

Q: When integrating integrals of the form sin³ sin cosa da where i is even and k is odd, you should x O…

A: We solve the given problem using the Pythagorean concept.

Q: At what value of x does the function below have a maximum value? f(x)=2x³ + 36 x² + 48 x

A:

Q: π.χ. COS(TEX) 3 f(x) = 7 cos

A: f(x)=7cos⁡(πx3)

Q: 22. A sphere is put inside a sealed right cone so that the highest point of the sphere touches the…

A:

Q: You have been given the linear system of differential equations shown below: X'=-19x+21y y'=-14x+16y…

A:

Q: Find a b. a = (3.5, 0.2), b = (-5, 4)

A: The given vectors  and .The aim is to find the value of the dot product .

Q: Evaluate 28 - 19 the definite integral d x

A: Evaluate the definite integralI=∫−1928dx

Q: Please show your answer to 4 decimal places. Find the maximum rate of change of the function f(x, y)…

A: Given that a function at the point Here need to find the maximum rate of change of the…

Q: The equation of the circle (x-1)2 + (y-2)² = 9 can be represented with the parametric equations:…

A:

Q: Please determine the general solution to y" - 12y +36y=0 Your answer should be in the form y= X…

A:

Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g…

A:

Q: Calculate the derivative d dx x de ² (3t4 - t) 28 dt . = dx x 1²₁ ( 314 - 1) 28 t) using Part 2 of…

A:

Q: If sin(x) = tan (2x) 11 17 (in Quadrant-I), find 88√42 551 X (Please enter answer accurate to 4…

A:

Q: Find the curvature of the curve r(t) = (-2t, −3tª, −2+³) Cive noimalı at the point t

A:

Q: Which series represents the number? + ÷ + ÷ + ÷ + ÷ +1 © ©1-% +÷¬÷ + } + T 8! 01-+-++ 01 - + - + ¹…

A: