7. Evaluate the following: (2x2y 2+2y)dy dx A. 3.0 B. 5.4 С. 2.3 D. 4.9

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

A: topic- slope of the tangent line at given value of x

Q: Find the derivative. 8) y =V4x +2 dy dxN4x + 2 =N4x + 2 A) dy В) dx 4 1 N4x + 2 dy C) dx dy D) dx 8…

A: SOLUTION-

Q: Part 1: A derivative computation using the chain rule Suppose F(x) is a differentiable function for…

A:

Q: 8 3 Jo V1+x dx

A:

Q: (21) Let y be a function of r. Find y'(x). Leave your answers unsimplified. (a) y =…

A: Differentiate wrt x

Q: 17. If you knowf (0) = 625 and f(4) = 16 then: (a) Find a formula for f(x) assuming that it is…

A: In this question, we want to find a linear function f(x) which satisfy the given conditions.

Q: The position of a particle in meters at time, t, seconds is given by s(t) = cos2(3t). Find the…

A:

Q: Find the length and direction (when defined) of u xv and vxu. u= 3i, v=5j The length of uxv is (Type…

A:

Q: Use the specified substitution to find or evaluate the Integral. 3. dx Vx(1 + x) = Vx

A:

Q: SOLVE THE FOLLOWING PROBLEMS SHOWING EVERY DETAIL

A:

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

A: The given function   y=x4+3x3-2x-2; x=-3

Q: A circle has radius of 7 cm. What is the length of arc intercepted by a central angle of measure…

A:

Q: Find the enclosed area by the curve with equation y=x^2-9 and x-axis in the region[-1,2]

A:

Q: 10) y = e³ In x A) dy In x 3x3 In x dx dy - 4x² , dy D) dx 3x3 x³ dx +1

A:

Q: What is the period and domain of the function y=tan(x)? A T and{xER|x m 2 (2k+ 1) , k is an integer…

A: The given function y=tanx

Q: 1+ VT (20) Evaluate the integral: -dx. (01) I 1:6

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = 1 x intercepts…

A: We have to find the function

Q: Suppose f(x) is a function that satisfies the following inequality for all x: 1+3 cos(x) < f(x) <…

A: Solution: The given inequality is

Q: A ladder of length 15 meters is leaning against the side of a building. The foot of the ladder is…

A:

Q: (31) Use Newton's Method to make the second approximation r2 to the solution of 2e = ex. Take x1 =…

A: Leibnitz Rule of differentiation: ddx∫α(x)β(x) f(x,t) dt  = ∫α(x)β(x) d(f(x,t))dx dt +dβxdx f(x,βx)…

Q: Area under the curve xy = -1 from x=1 to x=2

A: topic - area under the curve

Q: 6. A particular leaf is comprised of 80 thousand cells. As the leaf grows, the number of cells grows…

A:

Q: Distinguish the Domain in A Function f of Two Variables from Range in A Function f of Two Variables

A: Suppose the function is: f:ℝ2→ℝ2

Q: Sketch the graph and show all extrema, inflection points, and asymptotes where applicable. 1) f(x) =…

A: Marked below in the graph

Q: Find the value of y (0.4) if y' + 0.2y = 0, y(0) = 5. Solve analytically.

A:

Q: 3. S sin x In(cos x) dx

A: According to company rule, we can answer only first question.

Q: 1 Evaluate dx. - 9x In(7e® + 1) 9x 1 -dx = In(|7+ e– 9æ|) + C 7+e-9x 7. 9

A:

Q: Which of the following is the expanded form of E (-1)*(k+ 1)2? k=1 A -1+4-9+ 16 – 25 B -4+9- 16 +…

A:

Q: wen F(x) below, find F'(x). F(x) = dt I+8 rovide your answer below: F(x)-D I FEEDBACK MORE INSTRUCTI

A: Topic:- function And it's integration

Q: 1+ VI (20) Evaluate the integral: -dx. VI

A:

Q: Supply the missing integrand and the limits of integration ... CT/2 c2sin e r cos²0 dr de de •x/2…

A: Question- Supply the missing integrand and limit of integration.

Q: In x2 lim

A:

Q: 2. Solve: 5 In(2x – 3) = 10 algebraically. First find the exact answer (no decimals or rounding,…

A: We have to find the exact answer and decimal approximation of given equation

Q: Write an equation for the polynomial graphed below 5+ 4 2+ 1+ -5 -4/-3 -2 -1 -1 1 2/34 5 -2 + -3 -5+…

A:

Q: If y=C,cos2x + C ,sin2x + 2sinx is the general solution of a certain nonhomogegeous LDE, which of…

A:

Q: 9. State whether each of the following functions is convex, concave, or neither. (a) fo -e (b) f) -e…

A: Note- as per our guidelines we have to answer only first three parts if multiple parts are posted in…

Q: -6(х— sin "x)(csCx «)(cs 3 CSC X |

A: Topic:- function and trigonometry

Q: (29) Evaluate the integral: r/3 csc? xdx. (30) Find the derivative of the integral function: g(x)…

A:

Q: Find dy/dx by implicit differentiation. 6) x3 + 3x2y + y3 = 8 dy A) dx x2 + 3xy B) dy dx x2 + 3xy x2…

A:

Q: Evaluate the definite integral. es dx x/ln x v 5 6568542194924

A:

Q: General solution of x dy = (2xex – y + 6x2) dx %3D

A: The given equation is: x dy=(2xex-y+6x2)dx That can be written as:…

Q: Calculate the following limit: lim( lim(3) e-5z+6 2-9 O 1/6 0 1 O does not exist

A:

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

A:

Q: When f(x) is divided by (x - 2), the answer is 2x3 - 4x² + 3x + 1 with a remainder of k + 7, and if…

A:

Q: find area between line y=-2+x and y=x^(1/2) and x-axis

A:

Q: 2tan 'x -x lim,0 2x - sin'x

A:

Q: Find the area between the graphs of y = x and y = (x – 2)- | O 9/2 O 4 O -9/2 O 1

A: Given: y=x and y=x-22 Now find the point of intersection between the given curve and line. y=x ;…

Q: Find the function F(x) such that F' (x) = 8x and F(0) = 1 O 1+4x^2 O 4x^2

A:

Q: What is the range of the tangent function y=tan(x)? A R B [- 1, 1 [0, + ) D (- 00, 1]U[1,+ ∞)

A: Tanx is the ratio of sinx and Cosx

Q: - y = x' 3 from x=-1 to x=2 %3D

A: