15. Show that the equation, ³ + e* = 0 has exactly one real root.

Q: If 7 (² then f(x)dx = 7 and is equal to Select one: O 5 O -5 O-2 2 7 [²50 none of the others 5…

A: Topic = Integration

Q: ydy 2 √16-94² S

A:

Q: S tanx secx dx

A: We have to evaluate the given integration.

Q: 2. Approximate √64.1 by using linearization and use a calculator to compute the percentage error.

A:

Q: Find the largest interval centered about x = 0 for which the given initial-value problem has a…

A: We have to find the largest interval centered about x = 0 for which the given initial-value problem…

Q: Problem 7 Proof that if lim f(x) exists then it must be unique i.e., x→a if lim f(x) = L and lim…

A: limx→af(x) exitsif limx→af(x)=L and limx→af(x)=M then L=M

Q: Evaluate the indefinite integral. x² A -dx 1- x6

A:

Q: The equation (x - 1)² + (y-4)² + (z − 3)² = 25. - is an equation of the sphere with center C(1,4,-3)…

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

Q: Define f by f(x,y) = ["h(t) where h is some continuous function of one variable such that h(0) h(1)…

A: We have to solve above question.

Q: The arithmetic sequence bn is defined below. Find b3. b1=-2 D=-4 B3=?

A: The objective of the question is determine the b3 of given arithmetic sequence.

Q: f(x) = (x + 6)2/3 (a) Find the critical numbers of f. (Enter your answers as a comma-separated…

A: Given that fx=x+623a.find f'x=0 and solve x is a critical numbers.fx=x+623f'x=23x+6-13f'x=23x+613so,…

Q: Using [ y = e^(2x) (c1 + c2) + 3/2x2 (2x) ] and [ y = ( c1 + c2x ) e^(2x) + 3x/25 sinx + 4x/25 cnx +…

A: The given differential equation is;  y'' - 4y' + 4y = 3e2x + xsinx

Q: Which of the following is a unit vector parallel to the vector ? Select one: 2 0 8 1 4 <- 81¹ 81¹…

A: Let's solve.

Q: 10 [.. 4 √x + 2dx = [Please enter your answer t format(For example: 3.14)]

A:

Q: an = arn+1 an = arn-1 * The general term of geometric progress Option 4 O Option 1 an=arn a" = arn-1…

A:

Q: Find the general isolation of the following: 1. (x³y³+1)dx +x+y²dy=0

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A:

Q: Find dy if the curve is described by the equation x³ 4x³y + 3y² +Ske y

A:

Q: Find all solutions of the equation in the interval [0, 21). 2 cos²x=2+ sinx Write your answer in…

A:

Q: Find the curvature and radius of curvature of the plane curve at the given value of x. 32 y = 9x, x…

A: Given that Y= 9x - 32/x ; x= 4. And we find curvature and curvature of the plane at give x value.…

Q: رح 3 2 + + + + 32 - 2 -3x+2) 22م dx

A: I have stated the used formulas in the solution

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral Sc dx 8 x-6 x+8 Write your answer exact…

A: (a) From the given integral, the function is fx=x-6x+8, a=6, b=8 and n=6. Note that, the formula for…

Q: - [² Suppose F(x)= = sin(t) dt. Use the Fundamental of Theorem of Calculus to calculate - (F(x³)).…

A:

Q: (a) Find a vector equation and parametric equations for the line that passes through the point A(5,…

A: We have to find solution for given questions.

Q: Evaluate the ff (show all steps) S COS (Inx) dx

A: See the details solution in below

Q: 0. Given the following functions, make a sign sign diagram for • the first and second derivative and…

A:

Q: Prove that for any integer n if 3n+ 2 is even, then n is also even.

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: If f(x) = 2x-7 and g(x) = x² - 9 then go f= a) 2x - 7 b) (2x-7)²-9 c) 2x²-25 d) none of these 1.a…

A: Finding g(f(x))

Q: II. Solve the given differential equations. (x+y-4) dx - (3x - y - 4)dy = 0; when x = 4, y = 1 (6xy…

A: We have to solve given DE.

Q: Given f(x,y) = f h(t)dt Where h is a continuous function of one variable such that h(0)= 1 and h(1)=…

A: We have to find Fx (0, 1) and Fy (0, 1) and local approximation.

Q: Find and classify the critical points of f(x,y) = 4r+20² - y²

A: Find and classify the critical points of f(x,y)= 4x+2x2-xy2.

Q: Why are 9x^2-81y^2=0 and 9x^2-(z^2/4)=0 hyperbolas that pass through the origin and not lines that…

A:

Q: The value of the definite integral [²3x²dx 3x² dx is Select one: 3 26 1 26 26 none of the others 26…

A: Solution is given below:

Q: (a)l. - Find a vector equation and parametric equations for the line that passes through the point…

A: According to bartleby guidelines for multiple question I can answer only one question.Thankyou

Q: a) Evaluate [₁(x-3) (x-3)√√x+3dx

A: I have stated the used formula in the solution

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We have to analyze and sketch a graph of the function and find any intercepts, relative extrema,…

Q: Find the distance between the points A(-5, -6, 2) and the plane that includes the y-axis and the…

A: As per Bartleby guidelines rule I am answering only first question as both question is not a…

Q: Q.1: Solve the differential equation below; xy' + 4y = 8 x¹

A: We have to solve above differential equations

Q: Differentiate tan (x¹3t) with respect to x, assuming that t is implicitly a function of x. (Use…

A:

Q: Solve the following integrals through video presentation. 12x + 6 1. =dx √x² + x

A:

Q: Find the critical points of the given function. 5. f(x) = 2/3+2/3 +x-2/3 6. f(x) Va 7. f(x) (3x +…

A: Given: 5)     fx=14x43+x13+x-23 After simplifying we get     fx=14x43+x13+1x23 Critical points:…

Q: x4 dx X³- 2x²-7X-4

A: The given integral is: I=∫x4x3-2x2-7x-4dx   As we know the common integral.…

Q: Q2: Solve the following first-order differential equation x.e +y.- = 0 for y(0) = 1; x = 0. dx (2)…

A:

Q: Find all solutions of the equation in the interval [0, 21). cos²x = 1+ sinx Write your answer in…

A: Topic = Trigonometry

Q: The data given in the Table below is produced from a Linear Difference Equation model of the form: Y…

A: To find the value of a and b and then the value of linear model.

Q: Evaluate the ff (show all steps) dx (4-x²) 3/2 √

A:

Q: The symmetric equation of the line that passes by P(1, -1, 1) and Q(3, 2, -1) is: Select one: x-1 0…

A: This question can be solved using the concept of lines in three dimensional geometry.

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

A: The objective is to find all the solutions.

Q: Convert the rectangular equation to polar form x² + y² = 9 (solve) rsin0 = 9 r=4.5 Option 4 O Option…

A: