If f(x) = f'(x) = f'(2) = tan x 2 sec x 1 + 2 tan(x) sec(x)

Q: Given that the directional derivative of ƒ at the point (9, –9, 4) in the direction of a = 4 i – 4j…

A: We know that magnitude of a vector is given as-  If V = ai + bj + ck then magnitude is  |V| =…

Q: Suppose f (x, y, z)= + P = (2, 4, 3). A. Find the gradient of f.

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Q: ion-Solution-Final Answer-Conclusion forma erate solution of the first-order differential ec ent…

A: Topic:- application of integration and solution of differential equations

Q: Which of the function is not an exact equation of the first order? O A. (ey + ycosx) dx + (xey +…

A: To find the non exact equation.   Option c and d are correct

Q: Which of the following is a non-homogeneous function? O O tan³y/x | xLnx − xlny x³ - xy + y² (y² +…

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Q: 6. Given a position function of a particle s(t) = t.e-t, where t is in hours, and s(t) is in meters.…

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Q: 4. #x²+x-620, then xs-3 orx 22.

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Q: Which among the choices is the same as the differential equation dP -= P(C₁-C₂P)? dt

A: Which of the following choices is the same as the differential equation.

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x О А. y" - 3y' = 0 OB. 3y"…

A: the given  general solution  y=c1+c2e3x⇒y=c1e0(x)+c2e3x

Q: How many x-intercepts can a function defined on an intervalhave if it is increasing on that…

A: x-intercepts of a function on a graph are the points where y has value zero i.e., when the curve…

Q: Let P. Q and R have coordinates P(1,1,2). Q(1,0,0) and R(2, 1,0). (a) The line I through P and Q has…

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Q: x² x+0 tan² (x² + 2x) Evaluate: lim

A: The objective of the question is evaluate the limit at "x=0".

Q: What is a suitable integrating factor that can be used to solve the equation dy dx O A. O B. 3 ex…

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Q: Topic: Vectors and Geometry of Space → identify and sketch the following item. identify its traces…

A: The general equation of the elliptic cone is given by z2=x2a2+y2b2   The general equation of a…

Q: 2x3+4x2-5x+6 ÷ x+2

A: Solve the given long division

Q: In Problems 11–18, match each graph to its function. A. Constant function E. Square root function B.…

A: Here we are provided with some function's graph and we have to match them with their function's…

Q: write the function whose graph is the graph of y = x3, but Shifted down 4 units

A: Given, y=x3

Q: Which of the following is a non-homogeneous function? tan³y/x xLnx − xLny - xy + y² (y² + v²)3/2 43…

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Q: Consider the region R: Bounded y = x^2 and y = sqrt(x). As well as, y = x^2 and y = 4 and x = 0.…

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Q: If f(x, y) = 64 - 8x² - y², find fx(1, 2) and fy(1, 2) and interpret these numbers as slopes. fx(1,…

A: F(x,y)= 64 -8x^2 - y^2

Q: Question 6 Given: x2 dy dx = 4x² + 7xy + 2y2, Find C if y = 1, x = 1 O 1.5 O 2.5 O 3.5 O 0.5 O None…

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Q: Consider the point (x, y) lying on the graph of the line2x + 4y = 5. Let L be the distance from the…

A: Given equation, 2x+4y=5

Q: Denote by F(x) an antiderivative of e². Find an antiderivative of x²e in terms of F (that just means…

A: Given, Find an antiderivative of x2ex-6 in terms of F

Q: Which of the equations below is a second order nonlinear differential equation? O A. ¹^²x²y — (1 —…

A: We have to find second order non linear differential equation from given options.

Q: 11 11 Given "f(x)dx = 34 and g(x)dx = -5, find the following: ₁₁ [4f(x)-3g(x)]dx 11 O -151 O 151 O…

A: We have, ∫-411fxdx = 34∫-411gxdx = -5 To evaluate: The value of ∫11-44fx-3gxdx.

Q: Let s(t) = sint+1 where s represents the position (displacement), at time t, of an object moving on…

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Q: Determine if f(x) = [-x] - π, csc ¹(3 ln x), |2x²- 5+2| x 2 " if x ≤ 0 if 0 2 is continuous or not…

A: We have to check whether the given function is continious at x = 0 and 2. If the function is…

Q: Sketch a rough graph of the number of hours of daylight (in the northern hemisphere) as a function…

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Q: Question 9 Which of the following equations has a solution of the form F(x,y) = C A. 2x + 3y + (2y +…

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Q: '(x) = ( 13 + x1, (x-1)², x x

A: T(x)=|3+x|x<-1(x-1)2x≥-1

Q: If (OM-ON) 1/12 - - 5, = ?х M y OA. e5 O B. OC. y5 O D. e-5 O E. -5 then what is the integrating…

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Q: Find the standard equation Asymptotes y = 4x 3 71 3 17 3' 4 -x and y 3 vertex at (17,9)

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Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x₁

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Q: Show that:

A: Given, nr+nr+1=n+1r+1

Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

A: Your option is incorrect but my solution is correct .

Q: Fill in the blank so that the resulting statement is true.

A: Binomial Theorems:- The positive integers that appear as coefficients in the binomial theorem are…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: To find the distance between point p and line AB.

Q: Find the area of the triangle with vertices P(1,5,-3), Q(0, 0, 0) and R(4, 6, 1). NOTE: Enter the…

A: To find the area of the triangle with vertices P1, 5, -3, Q0, 0, 0, and R4, 6, 1.

Q: Suppose that f(5) = 1, f'(5) = 7, g(5) = -8, and g'(5) = 4. Find the following values. (a) (fg)'(5)…

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Q: Which of the following is NOT true about the linearity of differential equations? O A. Which of the…

A: Given query is to find the incorrect statment for liner differential equations.

Q: Find the vector component of v = 2i - j + 3k along b = 3i + 6j + 6k and the vector component of v…

A: Given that       v = 2i - j + 3k       b = 3i + 6j + 6k

Q: Which of the following equations is NOT an exact equation?

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Q: Find the angle in degrees, rounded to one decimal. 0 50 15 A

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Q: dy Solve for the value of C in the equation: + ycotx dx O A.-5 OB. 5 OC.-4 O D.4 O E. None of the…

A: It is linear differential equation.so we find integrating factor

Q: From now on, we will not use tables or numbers veeeeery close to the target value in calculators to…

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Q: graph each function using the techniques of shifting, compressing, stretching, and/or reflecting.…

A: Given, fx=x2-1

Q: . If (OM-ON) / - - - O A. B. O E. "Q y5 -5 then what is the integrating factor? None of the Choices

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Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal…

A: Solve triangle ABC .  Whose sides are a= 14 , b=15 and c= 26 .  Find Angles A, Angle B and Angle C.

Q: ce / √5³² + 25 de -dx Integrate X3 + C

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Q: find the function that is finally graphed after each of the following transformations is applied to…

A: Concept: Graphing  Shift up 2 units: The function is added with 2 units Reflect about the y-axis:…