he compound amount S, 1.e., the sum of the principal and all the interest earned after t ye

Q: 2)- Write the conditions of continuity function at c.

A: We need to write condition of continuity. As per Bartleby guidelines we can solve one question.…

Q: Solve the differential equation f'(x)+2xf(x) f(0) [Hint: multiply the equation by the integrating…

A: To solve the given differential equation

Q: The differentiable function y = f(x) is defined on the interval (-4, 6). The graph of y = f'(x), the…

A:

Q: Find dy/dt for the equation below. 4x^2 + xy – 4y^3 = 8

A:

Q: Using Two Methods Integrate |x√4 − x dx (a) by parts, letting dv 4 – x dx. (b) by substitution,…

A:

Q: lim 0+x √4-2 sin x-2

A:

Q: An antiquarian has just bought a cupboard at a price of €500. The sales value of the cupboard at…

A: here given that An antiquarian has just bought a cupboard at a price of €500 and The sales value of…

Q: table. differentiable functions f and g have the values shown in the x 0 1 2 3 16. If A = f + 2g,…

A: Given: Table of f, g, f' and g' at different values.

Q: 5 Let f(x, y) = x² + y² − 3xy. Which of the following statements is true? (0,0) is a local maximum…

A:

Q: 2. lim x→0 √√4-2x-2 X

A:

Q: 9. The roots of the equation f(x) = 0 are 1 and -2. The roots of f(2x) = 0 are (A) 1 and -2 (B) and…

A:

Q: The following line intersect with the xz-plane. What is the point? x = -2; y = 4+2λ; z = −3+2

A:

Q: Find the general solution of the given equation. y"' + 5y' +6y=0 Choose the correct solution below.…

A:

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by…

A: To find the volume of the solid, using shell method, obtained by rotating the region bounded by the…

Q: Given the lines e₁: X-1 = l₂: X-2 2 442 2 5-Y 2-2 and 2 = Z-5 9. Determine if e, and e₂ are parallel…

A: Given lines:- l1: x-1=y+22=z-22 l2: x-22=5-y-3=z-5

Q: 2. Let f be the function given by f(x) = √T. a. Find the Taylor polynomial of degree 1 of f at x =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find dy/dt for the equation below. x^4 + 2y^4 = 5

A:

Q: evaluate ∮[e^x+6xy]dx + [8x^2+siny^2]dy

A:

Q: lim e¹/cos r *→

A:

Q: Find the surface area of revolution about the x-axis of y = 6 sin(6x) over the interval 0 ≤ x ≤ K6 π

A:

Q: If f(x)=√x+3, g(x)=x², then (fog)(x) = The differential of the function f(x)=tan(cos.x) is_ The…

A: We know that derivative of d(cosx)/dx = -sinx. And d(tanx)/dx = sec2x. And derivatives power rule is…

Q: If it is possible for events A and B to occur simultaneously, then P(A or B) =_________.

A: Given: The events A and B to occur simultaneously, then P(A or B)____

Q: 9. Consider the function f(x) = 2x³ - 3x² - 36x +5. a. Find all (relative) extrema of f. b. Which of…

A:

Q: Find all the second partial derivatives. X x+y Z= O A. O B. C. D. 2²z ax² 8z ax² 2²z ax² 8²₂ ax² =…

A:

Q: Evaluate the following integral: 3 L² (20³ 1 (x³ + 2x) ex² dx ૨૨

A:

Q: When solving the equation 2x2-20x14 by completing the square, which of the following represents the…

A: The given equation is: 2x2-20x=14   As we know from the algebra. a-b2=a2-2ab+b2

Q: Let h be a continuous function over the interval [-10, 6] with derivative given by h' consisting of…

A:

Q: 4)- S da 1+2

A: We need to solve integral. As per Bartleby guidelines we can solve one question. Please upload other…

Q: 4. Evaluate 3/4 sin(x) dxdy, where a = ✔π/3.

A: Given that ∫0a3∫y3asin(x4)dxdy    where a=π/34

Q: N DETAILS explain how ath the beginning did we found that new york factory equal…

A:

Q: 1. In the figures below, the graphs of nine functions are shown. Each of the functions 9₁. 92 and gs…

A: The graphs of the functions f1, f2 and f3 are: The graphs of the functions g1, g2 and g3 are: The…

Q: Σ(n-12-1) n=1

A:

Q: A rectangle is constructed with its base on the diameter of a semicircle with radius of 6 feet and…

A:

Q: Га 00000 1 2 x న వద్ద తన da =

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (1) Let A=2アープな プ記+ 9. Find 36.2 B=-3P+2アーズ アニタアーア - 3+2・官 さにアナラアー2

A:

Q: 3 Region R is bounded by the lines y = 4, x = 6, the y-axis and the x-axis. Region R is rotated…

A:

Q: Use cylindrical coordinates to evaluate the triple integral !!! bounded by the circular paraboloid z…

A:

Q: Find the slope of the tangent line to the curve at the point (0, -2): x²y² = (y + 1)² (4- y²)

A:

Q: 24. For y = f(x), we define the derivative of f at x, denoted by f'(x), to be if the limit exists.

A: The solution of the given problem is as follows.

Q: 25. Please describe the product rule and quotient rule for finding out derivatives. If y = f(x) ·…

A: Product & quotient rule

Q: Find all solutions to the equation. 2 cos 0+1=0 Write your answer in radians in terms of , and use…

A:

Q: 463. VA 1.75 1.5 1.25 1 -4 0.75 AAAAA, 0.25 1 -0.5 -0.75 -1 -1.25 -1.5- -1.75 (A) f(x)=-sin(xx) (B)…

A:

Q: (1) Let A = 27-J²+² D²³² = 11/1/201 + R² B = -3P + 25-R³₂ C = P²+5J²³ - 2K² 2] € = 42-3² 9. Find 35.…

A:

Q: is given a metric space M with metric d, prove that any epsilon ball is an open set.

A:

Q: Assume that a is an angle in standard position whose terminal side contains the point (8,-8). Find…

A:

Q: Consider the surface -2x³ + 3xy² + 3xyz = −160. What is the equation of the tangent plane to the…

A: Consider the surface -2x3+3xy2+3xyz=-160.a To determine the equation of the tangent plane to the…

Q: 6x^2+4x-4 Let f be the function given by f (x) = 8x^3-3x^2+6x+2

A: We have to find the range of f(x) and g(x). Also find h(x) and asymptote.

Q: 17. ints) Use the Intermediate Value Theorem to prove that the equation x³-7x² +14x-8=0 has at least…

A:

Q: There is a line through the origin that divides the region bounded by the parabola y = 5x − 6x² and…

A:

Q: Solve the following differential equations. 1. y" - 5y' +6y=0

A: