D. using quadratic formula. 1. x2 + 5x = 14 2. 2x² +8x - 10= 0 3. 2x² + 3x = 27

Q: 4. Find the surface area when the function y= 6 + 1 2x on the interval 1≤x≤2.

A:

Q: If the general solution of (2x² − 3y²) y'= 2xyisy “¹n|yº| +xª=Cy", what is the value of b? (A) -1 B)…

A: Differential equation

Q: 5. Let f(g(x)) = H and H = √√x² + 4 a. If f(x)=√x, what is g(x)? b. If g(x) = x2, what is f(x)?

A: f(g(x))=Hand H=x2+43

Q: The following questions should be completed and your answers brought to class. Spending on Baseball…

A: Given graph: The given graph is a bar graph. In bar graph, height or length of the bars are…

Q: b. lim X-C * 17 x c where c is some fixed real number.

A: Above question is solved.

Q: Evaluate lim f(x) if f (x) x-5- A B -10-4 D 0 ∞ ∞ = 1 (x - 5) 4

A: To find out the limit.

Q: Find the standard form of a circle given the following conditions. Sketch the graph. 1. Center at…

A:

Q: The rate of change of the variable y with respect to x is equal to the expression 5x*-3e***. What is…

A: rate of change of variable y with respect to x is =dydx

Q: (1³7). (a) If Q is the point (x, sin(¹37)), find the slope of the secant line PQ (correct to four…

A: We have to find the values  of slope at given value of x.

Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2.

A: Let's find differential equation.

Q: X- 1.Find the area bounded by y=sin(sin x), the and x = π 2. axis and the lines Find the area…

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

Q: Find c such that the function x ≤ c { is continuous everywhere. f(x) = x² - 3 X 6x 12 x > c -

A:

Q: Q3: Let L be the line of intersection of the planes 3x + y -z = 4 and 5x + y + 2z = 1. Find the…

A:

Q: Question 1 Define Q as the region bounded by the functions f(x) = x and x = in the first quadrant…

A: Volume of solid on revolution around y-axis  is given by V=π∫cdf(y)2-g(y)2dy  where c≤y≤d

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A:

Q: Solve (xy + 4a²y)dy = √(xy-5a³ + ax - 5a²y)dx

A:

Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

A:

Q: 5. Sketch a graph of a function of that satisfies each of the following. (Feel free to use the…

A:

Q: fcos (x) sin(x) dx

A: We need to find out the integration of the given integrand.

Q: [-1 -1 Using Doolittles method for the following matrix A = 0 L-2 -2 L - matrix and U - matrix. 2 11…

A:

Q: 14. Which of the following does not require the use of the chain rule to find y y = cos ¹(10x5 - x²)…

A: Given problem:- Which of the following does not require the use of chain rule to find dy/dx? (A)…

Q: The family of circles with center on the line y = 3. A B Ⓒ D 1+ (y − 3) y ''+ (y') ²=0 1+ (y - 3)…

A:

Q: Consider the function f(x) shown in the following image: Evaluate lim f(x). x-0- A B с D -1 0 1 Does…

A:

Q: The point P(1, 0) lies on the curve y = sin( 13 (a) If Q is the point (x, sin(¹3″ )), find the slope…

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

Q: f(2cot 2x² - 2e²) dx

A:

Q: In Exercises 5–8, determine whether the graph of the function is symmetric about the y-axis, the…

A:

Q: 1) When using the Newton-Raphson method to solve the equation cos(ax) = x,this is done one of the…

A: The given equation cos(ax)=x Newton-Raphson method algorithm: The method is used to find the…

Q: if f(x) = x²√√In x² A. f'(x) = B. f'(x) = c. f'(x) = D. f'(x) = find the derivative of this function…

A: Given,            fx=x2lnx2xTo find : Find the derivative of the given function.

Q: 3. A function f(x) satisfies the inequality 1-<f(x) < 1 + tan² x, when x →0. Using the Sandwich…

A:

Q: Find the angle between in the two planes a = (1,2,3)and b =(4,-5,6)

A:

Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

A:

Q: y(4)-8y" + 16y=0

A: To solve the differential equation

Q: y = Clx+ C2e

A:

Q: Determine the infinite limit limx→π− cot x

A:

Q: dy dx x2(y2+3) + y (x3+1) = 0

A: To solve the differential equation.

Q: During an 8-hour shift, the rate of change of productivity (in units per hour) of infant activity…

A:

Q: A. by extracting square roots. 1. x2 = 169 2. 9b2 = 25 3. (3y - 1)2 = 0

A:

Q: Q2: Find dy/dx for the following functions:- (1)y=x'Inx (2) y = √sinh √tanx (3)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: lim x² = 0

A: We can prove the statement in the below steps.

Q: 1. Solve the differential equation xy dx - =O (x+2) dy =o

A:

Q: Use one or more logarithm identities to show that In (2) In(x) for any > Use one or more logarithm…

A: we have to do as per the question.

Q: The differential equation dy 18 dx y¹/2 + 4x²y¹/2 has an implicit general solution of the form F(x,…

A: The given differential equation,      dydx=18y12+4x2y12 we have to find the general solution of the…

Q: Verify whether y(x) = 2e-*+xe-* is a solution of y" + 2y + y = 0.

A: Topic = Differential equation

Q: Need this in complete and handwritten solution, thank you! 3. Solve for the Homogenous Differential…

A: Ode

Q: Solve the Differential Equations. 3.44 Test for homogeneity 3. f(x, y) tanx - sec²x - cosy

A: Let's find function is homogeneous or not.

Q: 7. For the limit lim (x³ - 3x + 4) = 6 illustrate Definition 2 by finding values of 8 that…

A:

Q: dy X -2= y² - 3y dx

A: We use variable separable method to solve the given differential equation.

Q: Express the repeating decimal as a fraction. 0.191919... =

A:

Q: The solid S has a base described by the circle x² + y² = 1. Cross sections perpendicular to the…

A:

Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

A: Greens theorem