Calculate Əz dz 8²z 8² z ² z Әх’ ду' дх²' дуг' Әхду and write down the Hessian matrix for the following functions (a) z = (b) z = where p is a constant; = (ry) where p is a positive integer and p > 2.

Q: A car is moving along a straight road. At time t seconds, the position of the car (in feet) is s(t)…

A:

Q: 7/21/22, 1:51 PM 8. Find the indefinite integral. Check your work by differentiation. -x) dx 8x(7-x)…

A:

Q: Determine the location of each local extremum of the function. f(x) = ³-2x²-120x+1 What is/are the…

A: Given that , fx=43x3-2x2-120x+1 Determine the location of each local extrema of the function.

Q: Match the polar equation with the graphs labeled I-VI. 7 1 - sin(0) O O O I III V r= O II IV VI y…

A: We can convert polar equation to cartesian form by using the following substitution. x=rcos0y=rsinθ…

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

Q: Solve the differential equation dy dr 4x - x³ 4+y³ so that the point (0,1) lies on the solution…

A:

Q: Graph f(x) = 3x2/3 − x. (The 2/3 is an exponent on the x.) a. Compute the first derivative. Make a…

A: f(x) =3 x23-x f'(x) =233 x23-1-1         =2x-13-1         = 2x13-1 To draw the sign chart, compute…

Q: Use the graph to find the following limits and function value. a. lim f(x) x→1 b. lim f(x) x→1* c.…

A: The graph of the function is  To evaluate:  a limx→1-fxb limx→1+fxc limx→1fxd f1

Q: Calculate the iterated integral. 64 8 [** [* (* + X) Jv dx dy

A: Double integral.

Q: Use the Maclaurin series sin æ = Σ(-1)"- n=0 1² st t Find the first three terms of the Maclaurin…

A:

Q: 13) Given f(x) = x − 3x Analytically [using calculus] determine the following for the function f.…

A: We can solve the given problem by using the first derivative test

Q: Suppose the Maclaurin series fƒ(z) is ƒ(z) – Σ (³)*. = I

A:

Q: If lim f(x) = -00, then the line 24-406 Select an answer is a (an) asymptote of the graph of f(x).

A: The given information is:limx→-406+ f(x)=-∞

Q: Given vector v = (−4, 4), find 2.5v graphically by stretching the vector by its tip and then writing…

A: A given vector is v=<-4, 4>. We have to find the vector 2.5v graphically.

Q: Find parametric equations for the line. (Use the parameter t.) the line through the points (0.2,…

A:

Q: Consider the given vector field. F(x, y, z) = xyz i-x²y k (a) Find the curl of the vector field.…

A: Given vector field F( x , y , z ) = xyzi - x2yk

Q: For the following exercises, find the slope of a tangent line to a polar curve r = f (0). Let x = r…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: [₁ 7 tan(x) sec³(x) dx

A:

Q: In the following, let f and g be functions such that f' and g' are both continuous on [3,6] and both…

A:

Q: A hummingbird needs 10 grams of sugar and 8 grams of protein each day. One honeysuckle flower…

A: NOTE: Refresh your page if you can't see any equations. . x=number of honeysuckle flower y=number of…

Q: -2 6 2 0 (0, 3) The graph of f(x): B) lim f(x) = x 0+ = 2 (3,2) (3, 3.141) 2x² +3 sin(x) +3 -2x + 8…

A:

Q: Find the vertical, horizontal, and oblique asymptotes, if any, of the given rational function. R(x)…

A:

Q: Given vector u =(−1, 1) and v = (−1, 1) and v = (–4, −2), determine the value of 5u - v in component…

A: u=<1,1> and v=<-4,-2> We have to find the value of 5u-v.

Q: particle at time t = 7. (Use symbolic notation and fractions where needed.) ° ( 17 ) =

A:

Q: Find the equation(s) of the vertical asymptote(s) of the given rational function. x + 3 - 1 f(x) =…

A: To find the vertical asymptote.

Q: Combine the three separate logarithms in the expression 10log(a)-log(u)-6log(=) into a single…

A:

Q: Find an equation for the graph sketched below fo IN -) 4 my m

A:

Q: Find the velocity and position vectors of a particle that has the given acceleration and the given…

A: If r(t) be the position of the particle, v(t) be the position of the particle and a(t) be the…

Q: Find a formula of f-1, the inverse function of f. f(x) = (x² + 8)-¹, (-∞0,0] (Express numbers in…

A:

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(p,…

A:

Q: What is the common ratio of the sequence 832, 208, 52...? A B C -4 -14 D 4

A:

Q: Hiw Find the Volume of the solid bounded the cylinder x² + y² = 4 and the planes y +2. and Z=0 ?…

A: x2+y2=4=r2 y+z=4⇒z=4-y z=0 x=rcosθ y=rsinθ 0≤z≤4-rsinθ 0≤r≤2 0≤θ≤2π

Q: Find for the parametric curve c(t) = (t−¹ – 2t, 31³) at the point t = 4. dy dx (Use symbolic…

A:

Q: Find the volume of the solid formed when the region bounded by the graph of f, the x-axis, and the…

A:

Q: ds dt |₁=5 m/s

A: We know that the speed formula =sqrt((dx/dt)^2+(dy/dt)^2)

Q: Solve the differential equation. لا 6x22 = 2

A: Use the separation of the variable

Q: Evaluate the limit. lim x→-4 x+5 x²+16x+64

A: given limit limx→-4x+5x2+16x+64

Q: Find y' given: Y = 6 √x

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A:

Q: Find the length of the equiangular spiral r = (Use symbolic notation and fractions where needed.) 5e…

A: To find the length of the equiangular spiral r=5eθ for 0≤θ≤2π.

Q: Find the complex zeros of the quadratic function. Graph the function. f(x)=50x² +10x+1 (Simplify…

A: To find the complex zeros of the quadratic function. To graph the function. fx=50x2+10x+1

Q: Evaluate the limit. lim f(x), f(x) = O-1 0 3 0-5 0-9 -x² - 4x4, -2, x‡ -1 x = -1

A: If limx→a-fx=limx→a+fx=k then  limx→afx=k

Q: 37. Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum…

A:

Q: Given the vector u equal to 8 (cos 0°, sin 0°) and vector v equal to 3 (cos 165°, sin 165°), find…

A: U=8(cos0,sin0)  V=3(cos165,sin165)  To find the magnitude and direction.

Q: Find the equation of the tangent line (in slope-intercept form) at the point (1,-6) for the…

A: Given Equation of curve  f( x ) = x4 - 5x3 + 7x2 - 9  As we know that , slope of the tangent line is…

Q: Find the future value if $14,000 is invested for 3 years at 11% compounded continuously. If needed,…

A: Invested amount=14,000 time=3 years interest rate=11%=0.11

Q: ind the parametrization for the line through (-9, 5) and (2,9). Jse symbolic notation and fractions…

A:

Q: If f(x)= then f'(x) = f'(-5) = ff th 3 t'dt

A:

Q: Find for the parametric curve c(t) = (Use symbolic notation and fractions where needed.) dy = dx t=3…

A: C(t)= (t-1-4t,3t3) We have to find dy/dx at t=3

Q: Find a + b, 2a + 3b, lal, and la - bl. a = i +3j - 4k, b = -3i -j + 6k a+b= 2a + 3b = |a| = |a - b|…

A: Given vectors  a = i + 3j - 4kb = -3i - j + 6k