x + 2 x²-4 For the function f(x)=- lim, f(x) find the limits.

Q: Find v⚫u if v=6i + 8j and u = 2i + 6j. OA. 12i+48j OB. -36 O C. 60 OD. 8i+14j

A: given,  v=6i+8j  and  u=2i+6jwe know,  i.i=j.j=1  and  i.j=j.i=0

Q: Find the extreme values of f(x,y) = 4x+6y subject to the constraint x² + y² = 13. www OA. The…

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

Q: The average value of the function f(x) = 3x ln(3x) e²+1 8(e-1) on [] is not equal to 3 Select one: O…

A: Given: The average value of the function  f(x)=3xln(3x) on 13,e3 is notequal to e2+18(e-1). We are…

Q: Evaluate ay'da + x³dy, where C' is the rectangle with vertices (0,0), (3,0), (3,1), and (0,1)…

A: ∮ xy5dx + x3dy , where C is the rectangle with vertices (0,0) , (3, 0), (3,1), (0,1).

Q: Without using a calculator, compute the sine and cosine of 300° by using the reference angle. What…

A: Reference angle for the angle t in the fourth quadrant is: 360-t

Q: (iii) {(x, y, z) = R³: (x, y, z). (1, 1, 1) = 0} = {(x, y, z) = R³ : x+y+z = 0} = {(1,-1,0), (1, 0,…

A: Given,   {(x,y,z) ∈ R3:(x,y,z)-(1,1,1)=0}={(x,y,z) ∈ R³:x+y+z=0}=L(1,-1,0),(1,0,-1)} and we need to…

Q: The gradient of f(x, y) = e³-² sin(4 - y) at (x, y) = (1, 3) is defined as followed: ▼ f(x, y) =…

A:

Q: Evaliate each definite integral to three significant digits. Check some by calculator. x² dx 2.

A:

Q: Compute the flux of the vector field and (0,1) (x¹, - xy5), out of the rectangle with vertices…

A:

Q: Find the r(t) = (3 cos(t), 7 sin(t)) at t = 0. curvature of the curve defined by

A: The given curve is r(t) = 3cos(t), 7sin(t). We have to find the curvature at t=0.

Q: If D is the triangle with vertices (0,0), (9,0), (9,44), then [[ D e-x² dA=

A:

Q: A group of students has designed a trebuchet, which they will use to fire water balloons at their…

A: These are multiple sub parts but we can do only 3 sub parts so i am doing here first 3 sub parts.…

Q: (8) To evaluate f √√x²-49 x -.dx we substitute x = A)7 sec8 B) 7sine C) 7tane D) 7cose

A: We need to fin the substitution for 'x' to evaluate the integral: ∫x2-49xdx

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: We have to find the length of the curve. First we will convert the equation into cartesian then find…

Q: A 10-ft ladder leans against a house on flat ground. The base of the ladder starts to slide away…

A: Let the distance of bottom of ladder from the house=x Let y be height where top of ladder reaches…

Q: d d²y and and find the slope and concavity (if possible) at the given value of the parameter. (If an…

A: given,  x=6t, y=4t-4 and t=3

Q: 2 ทะ n (8) n! h

A:

Q: Find the surface area of the part of the plane z = 4 + 2x + 3y that lies inside the cylinder x² + y²…

A:

Q: Convert the angle 3π 4 from radians to degrees. degrees

A: NOTE: Refresh your page if you can't see any equations. . the given angle is

Q: Solve the ODE equation ✓² +3Y²_4y = 4 cos 3t, where you = 1 and X (0) = 3

A: y''+3y'-4y=4cos3t, y(0)=1 and y'(0)=3

Q: Consider the vector field F r(t) = t² i + t³j, 0≤ t ≤1 Calculator Check Answer - Evaluate LP F. dr…

A:

Q: 4. If f(x,y,z) = 3x²y - xyz + y²z² find each of the following: a. f(x,y,z) b. f, (0,1,2) c. f (x, y,…

A: *Note – when finding the partial derivative w.r.t one variable, other variables consider as…

Q: Find all the first order partial derivatives for the following function. f(x,y,z)=x²y+y²z+xz²

A: ∂∂xxn=nxn-1, ∂∂x1=0 and ∂∂xx=1

Q: -6 -5 -4 -3 B p

A:

Q: 4. First, sketch a picture of the line which passes through P = (1, 1, 2) that is perpendicular to…

A:

Q: Evaluate the integral. Check your answer by differentiating. (Remember the constant of integration.)…

A:

Q: The graphs of the three equations below enclose a region. Determine the area A of the region. y = x…

A: Solving the problem.

Q: Let P be the plane in space that intersects the x-axis at 2, the y-axis at -2, and the z-axis at -4.…

A:

Q: en J_₁xf"(x).dx (2) Let f(x) be a function whose second derivative is continuous on (-1, B) f'(1) +…

A: ∫-11xf''xdx

Q: Find the volume bounded by the paraboloid z = x² + y² and the sphere x² + y² + z² = 2 using…

A:

Q: Question 7 The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of…

A: given, PV=8.31Tgiven temperature is 330K and increasing rate of 0.1 Ksgiven, pressure is 19 and…

Q: 1. A baseball is thrown with an initial velocity of 45m= 66 at an angle of 60° with the horizontal…

A: We have to find the height of ball and time when it reaches ground.

Q: 5 find the equation of the tagent. plane to the Surface x²y-y²x+3=2² at (1,-1, 1)

A:

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Given that C'(x)=6x2-5xC(0)=5,000

Q: Let u = (a, b, c) and v = (7, 8, 9). If u is parallel to (1, 0, -1) and the projection of u along v…

A:

Q: Solve the initial value problem: 1 f'(x) = = + tan(x) X f(1) = 20

A:

Q: Write the equation for the plane through the points P(-1,7,-32), Q(2,5, -17), and R(1, -3,4). OA.…

A:

Q: 00 (−1)²-¹ n-2 (In n)"

A:

Q: Use Green's Theorem to evaluate [F. Tids, where F = (√x + 3y, 2x + 3y) C is the boundary of the…

A:

Q: b. d²y dx² + 4y = 2cos2x + 3sin2x

A:

Q: Solve the problem. 29) The spring of a spring balance is 5.0 in. long when there is no weight on the…

A:

Q: Solve the following differential equations: 1) y"" - y" - y' + y = 0

A: NOTE: Refresh your page if you can't see any equations. . the given DE is  write the auxiliary…

Q: A kite 60m above the ground moves horizontally at the rate of 4m/s. at what rate is the angle…

A:

Q: 7. Find all critical points of the given function and use the second derivative test to identify…

A:

Q: Use integration by substitution to find the indefinite integral. 78 S dr 1⁹ 2

A:

Q: Find the arc length (s) of the curve S = r(t) = (4 sin(5t), 2√3 cos (5t), 2 cos (5t)) for 0 < t <a

A: NOTE: Refresh your page if you can't see any equations. . the given curve is  and the given…

Q: Find the tangent plane to the surface z = cos(4xy) + x + 6y at the point (1,0). (z = cos(4xy) + x +…

A: z=cos4xy+x9+6y &amp; the point is 1, 0. To find the equation of tangent plane.

Q: Consider the vector field F = F(t) = t²i+t³3 0 Evaluate 1² F. dr along the curve C:

A: To solve the following

Q: Solve the system of equations using Cramer's Rule if it is applicable. 8x = 32 2x + 4y = 0 ww. Write…

A: We need to solve the given system using Cramer's Rule: 8x=322x+4y=0

Q: If 0 = 1π 6 " then find exact values for the following: sec(0) equals csc (0) equals tan(0) equals…

A: given θ=1π6=π6