Solve a & b with given A[r = 3x şax+ (y + z + 3) Ay +(6x - z³) a₂] where: np = ax + 4ay - 2az 2+y³

Q: II. Solve the following problems. Enclose final answer. 10. At what rate is the vertex angle of a…

A: Given:-radius of right circular cone, r=3 ftaltitude of right circular cone, h=4 ftaltitude is…

Q: A company produces a special new type of TV. The company has fixed costs of $461,000, and it costs…

A:

Q: Solve the following problems. Enclose final answer. 4 4. Given z = x-y, Find az/ax x+y

A:

Q: 4 = Suppose sin 0 = and is in quadrant IV 5 Find the exact values of the other five trigonometric…

A:

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)=3 ex cos (yz), Po(0,0,0),…

A: Solution: f(x,y,z) =3exCos(yz) P0=(0,0,0)

Q: 4. f(x) = 5. f(x) = 6. f(x) = 2x+sin x x sin x 2x²+x x sinx+2 sinx 2x²

A: Solution

Q: Write an equation of the tangent line to the curve f(x) = 3x/√x-4 at the point (5,15). Express the…

A:

Q: ∞ The polar curves r = 1 cos and r = 1 + cos are shown in the figure above. Which of the following…

A:

Q: 3. Reverse the order of integration in 24e² dydx and then evaluate the integral with the new limits

A:

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A:

Q: Consider the function 2x+6 f(x)= x²+6 Find the critical point(s) off. (Give yourans wer in the form…

A: f(x) =(2x+6)/(x2+6)  Find:- Critical points  Local maximum and minimum at x= Interval function…

Q: ]Find the x-intercept of the curve that passes through the point (0,2) and whose slope at (x,y) is…

A:

Q: Find f'(a) for f'(a) = f(x): = -9 √2 - 4x

A:

Q: Find lim f(x) and lim f(x) for the given function and value of c. f(x)=(x+4) |x+31 X+3 C-3 lim (x+4)…

A:

Q: intervals. (a) [1,2]n (1/2,2) n (0,1/2]. (b) R-(0.3) (c) (-2,0) U(-1,5) (d) (R-(0,3)) ((-2,0U(-1,5))

A:

Q: Numerical Integration: 1 √x 1. 0 dx

A: We can find the solution of the definite integral as below.

Q: 7.Find of z = 2x³-5xy² a²z xy

A: Use partial derivative for finding the unknown

Q: Q1: Answer the following matrices: 1 2 3 456 789, . [.. + 3 2 1 654 9 8 7, b)

A:

Q: Prove the following identities : a) Csc0+tan 0.Sec0=Csc0.Sec ²0

A:

Q: A circular swimming pool has a diameter of 12 m, the sides are 3 m high, and the depth of the water…

A:

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Given:           ∫252x2-3xdx

Q: The solution set of the equation x2=12-4x is {2,6} صواب خطأ

A: The given equation is: x2=12-4x  ...(1)

Q: Find an equation for the plane y=3x in cylindrical coordinates.

A:

Q: 7) y = — - cos (40-32) 2 D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Stan5 xsec³x dx Osecx+secx+sec³r+C Osecx-secr+sec³r+C sec' x-secr+sec³r+C O None of the choices…

A:

Q: Find and sketch the domain for the function. cos (xy) f(x,y) = 2 x² + y²-81

A: The given function,  f(x,y)=cosxyx2+y2-81

Q: The length of a rectangle is increasing at a rate of 5 meters per hour and the width is decreasing…

A:

Q: Compute the indicated sin α = 15 17 cos B = cos = (a) (b) - 4 5 quantity using the following data.…

A:

Q: y = (x²+1)4 (2x + 1)² (3x − 1)5

A: We have to find derivative

Q: 1. 2. dx dx sin²(x² + 2x + 1) [4 tan(3x³) - 5 csc x]

A: To find derivatives

Q: Find the derivative of f (x) = 5* In (x). Enclose arguments of functions, numerators, and…

A: Given; f(x)=5^x. ln(x)

Q: show that if y=x/tan(x) then y'=cot(x)-csc(x)

A:

Q: 7.Find: 으로 xy of of z = 2x35xyz

A:

Q: 3.sin (2 4. (4 sin 3x - x) dx

A:

Q: Calculate the integral approximation S6 for 0 -1 4-² dx.

A: In this question we have to find the Integration.

Q: Q.3) Evaluate the following dx 1) [ x² + 10x + 30 T 2) [²√³x² 3) ² ² 1/2 dx xy y sin x dx dy dx dy

A:

Q: 3. 13 dr² +9y= 26e2r

A: The given differential equation,     d2ydx2+9y=26e2x

Q: Find the equation of the tangent line to the curve y = √-4 at the point (5,1). Oy=-1 Oy=-1 Oy=2x-2

A: Given y=x-4       point (5,1)To find equation of tangent line:

Q: Write an equation for the transformed logarithm shown below, that passes through (0,0) and (2,-2).…

A:

Q: What is the slope of the line tangent to the polar curve r = ㅠ Ө - ? O 1 √√3 ✓ 2 T -||♡33 √√3 cos at…

A:

Q: the sum if convergent. 4) 2-6+18-54...

A: In this question, we will evaluate this series and test for convergence.

Q: 4. Find lim f(x) and lim f(x) for the following functions n→∞0 1118 f(x) = 3x² − 2x + 1 1. f(x) = =…

A:

Q: 2. Rainwater accumulates in the ditch as follows: 10 centimeters of water in the 1st second, 15…

A:

Q: 3. Find the interval on which the curve of y= 2 1+3t+t² dt is concave up.

A: Second derivative is positive.

Q: 4. Given z = x-y, Find az/ax x+y

A: Given z=x-yx+y

Q: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

A:

Q: Find the gradient of f(x,y,z) = (x² + y² +z²) Vf|(1,2,2) = Oi+Dj+Ok (Type integers or simplified…

A: ∇f(x,y,z) = ∂∂xi+∂∂yj+∂∂zkf(x,y,z)

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x→ 0+ 5

A: solution:-limx→0+xsinxwe know that binomial expension of…

Q: Evaluate the iterated double integral √1-x² _L [ ³²-x² sin (x² + y²) dz dy dx

A:

Q: The graph of a rational function, f(x), has a point of discontinuity when x = 2 and an asymptote…

A: