J2 29 1 3 √x - 2 Vx dx.

Q: According to the properties of logarithms log(8) = 3log(2) O True False

A:

Q: By considering different paths of approach, show that the function below has no limit as…

A:

Q: dy 7. a) Prove that, So √at-yt [ro] 4a√2π

A:

Q: In how many ways can an investor select four mutual funds for his investment portfolio from a…

A:

Q: Parametrize the intersection of the surfaces x² + y² = z², 5y = z² using t = z as parameter. (Use…

A: To parametrize the Intersection of given surface .

Q: A can is filling with water at a rate of of r(t) = t² If the can was empty at t = 0, what formula…

A:

Q: The population of a town grows at a rate proportional to the population present at time t. The…

A:

Q: Find equations for the tangent plane and the normal line at point P₁ (xo.Yo.²₁) (4,5,0) on the…

A:

Q: Use the definition of the derivative to find g'(x) g(x)= (3x) / (x-2) , g'(x)= (-6) / (x-2)^2

A: Let a function f( x ) then according to the definition of derivative Given function

Q: Let f(x) = 2x² + x - 6. (a) Compute the difference quotient of f(x f(x +h)-f(x) h (b) Compute the…

A:

Q: Əf af For the function f(t, x) = sin (4лt + 9x), find and at da af (Type an exact answer in terms of…

A: partial differentiation

Q: Find the solution of the differential equation r' (t) = 5r(t) with the initial condition r(0) = (2,…

A:

Q: Find the distance between the points using the following methods. (1, 5), (4,7)

A:

Q: Calculate the derivativer(g(t)) using the Chain Rule. r(t) = (e.e.3) g(t) = 8t +6 (Use symbolic…

A:

Q: Let f(x) = In(x) and g(x) = log3x. For all x>1, f(x) < g(x) O True O False

A:

Q: Find the transition matrix from B toB'  B = {(1, 0, 0), (0, 1, 0), (0, 0, 1)}, B' = {(0, 0, 1), (1,…

A: Given :- To Find :- The transition matrix from B toB'

Q: If the rate of change of N is inversely proportional to N(x) where N > 0. If N(0) = 10, and N(2) =…

A: This is question of calculusHere function is given We have to find constant term k in this. Using…

Q: - Q1. Consider the function f (x) = − tan(x − π). a. Determine f '(x). b. Determine the slope of the…

A: Consider the function (a) To determine .(b) To determine the slope of the tangent to the curve  at…

Q: Find an equation of the tangent line y(x) of r(t) = (tº, t²) at the point t = 1 (Use symbolic…

A:

Q: Find the surface area of revolution about the x-axis of y = 3x + 1 over the interval 1 ≤ x ≤ 3

A:

Q: 6. Determine the point of intersection between the graphs f(x)=2(3)²x-1 and g(x)=3(2)³x

A:

Q: Apply the midpoint and trapezoid rule to the following integral. Calculate the approximations and…

A: Let's solve the integral using midpoint method.So we divide interval [1,5] into 8 subinterval of…

Q: Compute the derivative for r(t) = (1, 13, 14). d ar(1) r(t) = (f(t), g(t), h(t)) dt

A:

Q: Find the derivative of the function at Po in the direction of A f(x,y) = - 4xy-4y², Po(-5,4), A=…

A: Given :- The function To Find :- The derivative of the function at P0  in the direction of A.

Q: 4. Express PQ-RQ+SR-PS+RS as a single vector.

A: Expression

Q: Question 7 What is the exact value of Show your work tan(ese-¹(-)), csc PENCIL THIN BLACK

A:

Q: Solve the following system of equations.

A:

Q: Using the graph above, evaluate the following limit. lim f(x) (A) 1 (B) 2 (C) 3 (D) The limit does…

A:

Q: (-8,2) (-2,0.7) 10- (-6,-2) (-3,-2) 10

A:

Q: Five commuter trains and three express buses depart from city A to City B in the morning, and four…

A: Three commuter trains and five express buses depart from city A to City B in the morning, Number of…

Q: Determine the exact value of each of the following expressions. sin 7π 6 (47) 3 cot cos(-5+7)

A:

Q: Given f(x, y) = 10√/8x5 + 7y + 2xy, find fz(x, y) = fy(x, y) =

A:

Q: if f(x)= xe^x, determine f^(400) (x)

A: To determine the 400th derivative of the function f(x) = xe^x, we can follow a systematic approach…

Q: The position of an object moving along a line is given by the function s(t) = − 11t² + 77t. Find the…

A:

Q: Let r(t) = (14, 15) g(t) = sin(3t) Evaluate the derivative using the Chain Rule. (Use symbolic…

A:

Q: j(x) = x=5 X X 9. j(5) = j(x) 10. lim j(x) as x->5 = 11. j(0) = 12. lim j(x) as x->0 from the left =…

A:

Q: 7. Find y'if y=x³+ sin (x)

A: given

Q: Using separation of variables, solve the initial value problem, dy dx y = In -8e ex8+16xe +8 - xe =…

A:

Q: Your answer is incorrect. Calculate the integral approximation Se for S₂ 75+1 dx. S6 = .01682

A:

Q: g(2,1, 2) dV over solid B. B = {(x, y, z) | 1² ≤ x² + y² ≤ 5², x ≥ 0, y ≥ 0,3 ≤ z ≤ 7} and g(x, y,…

A:

Q: 3. Determine vector and parametric equations of the plane with Cartesian equation 3x - 2y +z + 6 =…

A: Cartesian equation of plane is

Q: Find -зе ху Ә ?х

A:

Q: 3. Find the slope of the tangent to f(x)=x√√2x² + 17 at the point on the curve where x = -4.

A:

Q: What is the general solution to √æ² +3¹² = 2x ? dz Oy= 2√²+3+C Oy=√√√²+3+C Oy=C√√√x² +3 Oy= 2√x²+3+C

A: given

Q: Determine the interval(s) on which the function is (a) increasing, (b) decreasing, and (c) constant.…

A: From the given graph we can see that,The graph is decreasing at the interval   and at .And the graph…

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 9…

A:

Q: Suppose that f(x, y) = x² + y²¹ — 2xy Then the minimum is

A: We need to find minimum of function.

Q: Simplify the trigonometric expression below by writing the simplified form in terms of sin z.…

A:

Q: Consider the position function s(t) = -4.9t² +33t+20. Comple average velocities and then make a…

A:

Q: The number of ants in Bob's kitchen increases at a rate that is proportional to the number of ants…

A: Given that,There are 20 ants on day 0, and 60 ants on day 4.And,ants are increases proportional to…