d^x d³x db4 dx +3. -27d²x -62- -24x=0 db³ db² db

Q: S 2 x² dx x² 2 -9

A: Given,∫x2x2-9dx

Q: Find the one-sided limits of f(x). Step 2 of 2: Find lim_ f(x). X→-7+ Answer 4 Points f(x) = -7x - 3…

A:

Q: 1- What are the disadvantages of the Newton method for solving the following nonlinear systems.…

A: answer is in next step . please give a like

Q: Which vector is not orthogonal to ū=? a. C. b. d.

A:

Q: sider the function p 3 of 3: Find lim f(x). x--6 f(x) = = lim f(x) x--6 Sx² + 12x + 22 19x + 100 if…

A: Topic:- limit and continuity

Q: Solve the following second order differential equation, clearly showing all calculation steps d²y dy…

A:

Q: The Kirk Kelly Kandy Company makes two kinds of candy, Kisses and Kreams. The profit, in dollars,…

A:

Q: Suppose F(4)=-4, f(x)cos F(x) dz F(5)= 3, and F'(x) = f(x). 3 cos (3) +4 cos(4)

A: We can evaluate the given integral by using the substitution u= F(x).

Q: h(x) h'(-6)= = f(x) g(x) based

A: Given;  h(x)=f(x)/g(x).

Q: The linear approximation at x = 0 to sin(4x) is A + Bx where A is: and where B is:

A:

Q: 8 kg/m, where x is measured in meters from one end of the rod. √x+1 The linear density p in a rod 3…

A:

Q: C. d. (3x + 2)(3x² + 4x)4 dx,u = 3x² + 4x [TV 7√7x − 1 dx,u = 7x − 1 -

A:

Q: a body at a temperature of 50°F is placed in an oven whose temperature is kept at 150°F. If after 10…

A: We can use differential equation or Newton law of cooling to solve the problem

Q: Evaluate the six trigonometric functions (the unit circle). a) t= 5 corresponds to the point (x, y)…

A:

Q: Power series p₁(x) and p2(x) are given below. P₁(x) = 1 + 7x +49x² + 343x³ +2401x² + ... P2(x) = 1 +…

A: Here, to find the series notations of p1(x)+p2(x)

Q: Evaluate tan |2x| dx F

A: The given definite integral,    ∫-π8π6tan2xdx

Q: Differentiate and simplify this function g (y) = y3 / ln(2y)

A:

Q: 7- dx L₁EV xV1 + (In x)²

A: Here we will use the substitution method

Q: Find dy/dx:

A: We have to solve the dy/dx using fundamental theorem of calculus.

Q: Q2: The population of a state is known to grow at a rate proportional to the number of people…

A:

Q: Evaluate the integral T 22 P" sin cos e de dode Hd 0 H₂

A:

Q: (D² - 2D+5)y=e* cos x

A: I am attaching image so that you understand each and every step.

Q: Find the average value of f(x) = 3 sin (x) + 5 cos (x) over the interval 0, [0]. 3

A: The function f(x)=3 sin(x)+5 cos(x) over the interval 0,π3

Q: Use linear approximation, i.e. the tangent line, to 1 1 approximate as follows: Let f(x) = and find…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = √2 sin(√2t), y(0) 13,…

A:

Q: Find f(x) if y = f(x) satisfies dy 35yx4 dx and the y-intercept of the curve y = f(x) = = f(x) is 2.

A: In this question we have to find f(x).

Q: of the points where the parametric equation y = 3 cost 0≤t≤ 2T will have a horizontal tangent.…

A:

Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

A:

Q: 5. Find the Taylor expansion of f(x)=x² - 2x + 4 at x = 2.

A: To find the Taylor expansion of fx=x2-2x+4 at x=2.

Q: Evaluate the following integrals I 1. x² - x 1+3x²2x³ dx J₁ 2. /1+2 I dx 1 + 2 sin r ²+2 3. da x + 1…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: provide a step by step solution to the following DE (2x+3)y' = y + (2x+3)1/2 when x=-1 and y=0

A:

Q: Find the average value fave of the function f on the given interval. f(x) = 3x² + 8x, [-1, 5] fave -…

A: We have to find the average value

Q: Vectors a, b, c are given below. Accurately draw the following vectors. a. u=3a-b+ 0.5€ b. v = ²6-2ä…

A: answer is in next step

Q: Find the derivative of the composite natural exponential functions 1. f(x) = In x² x-2 2. g(x) =…

A:

Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x+sin(4x)

A:

Q: cost, y = sint, at the point where t 0 ≤t≤ 2π -O?! =

A:

Q: hav is that not the function defined by ху f(x, y) √x² + y² if differentiable at (x, y) + (0;0) if…

A: We have to show that f(x,y) is not differentiable at (0,0)

Q: dx 5. ≈ 16 x J dx – x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: The height y (in feet) of a ball thrown by a ch 1 -x² + 6x + 5 - y = 14 where is the horizontal…

A: The height of the ball is given by  y=-114x2+6x+5 in feet where x is horizontal distance from child.…

Q: I. Bernoulli's Equation 1. 2ydx + x(x² In y-1)dy = 0

A:

Q: Let g(x,y)=2xy with x=x(s, t)=s²+t² and y=y(s,t)=s/t. Calculate gs and gt. Express your final…

A: Differentiate

Q: = Determine the equation of the tangent line to the graph of f(x) = I x+ln x cosh (√2t - 1) dt at x…

A:

Q: The function of given by f(t) = 10e0.07t models the balance in a bank account, in thousands of…

A: Use exponential growth formula for finding the first two .

Q: dr. T About OX -2 2 y=√16-1²

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 2. The function g(z) is obtained by applying the following transformations to the function y=-8. A…

A: Given problem:- The function g(x) is obtained by applying the following transformations to the…

Q: a) There are three vectors u = (2,2,0), v = (-1, -2, 2) and w = (−1, 2, 3) (i) Calculateu+v-W (ii)…

A:

Q: Given the velocity field V = (5x)i + (15y+11)j + (19t) k m/s, determine the path of a particle which…

A:

Q: 2 1 x^²({( ²² - ² - ) } L 3 S S

A: Given that,      L-12s-1s32

Q: Let y 3x² + 3x + 4. = Find the differential dy when x = 4 and dx = Find the differential dy when x =…

A:

Q: Let C be the curve of intersection of the parabolic cylinder x² = 2y, and the surface 3z = xy. Find…

A: