0 2 -28 $² -2s e 8² -2s S O Option 3 -28 8 Option 1 -28 8 1 S 1 S 1 S + 82 O None of the choices e²s 1 S S Option 5 e28

Q: Find Vf at the given point. f(x,y,z) = x² + y² - 4z²+zlnx, (1,1,3) Vf|(1,1,3) = i +(\)j + ()k…

A: Topic:- application of derivatives

Q: (4) Σ=o (−1)n+7 n2+3 1/1

A:

Q: Consider the function 2r²-9r-18 f(r) r²-r-2 (a) Sketch the curve y = f(r). (b) Find the area of the…

A: Here we have to find the area under the curve

Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = -4 x intercepts…

A:

Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x² + y² +1 a. (3,4) b. (0,3)…

A: To find the linearization Lx, y of the function at each point.fx, y=x2+y2+1 a 3, 4b 0, 3

Q: 1) lim x + 5 X 1.5 2 2.5 2.75 2.99 F(x) X 4.5 4 3.5 3.1 3.01 F(x)

A:

Q: Q: find the cartesian equation of the plane Containing the point p(2.1.1) and parallel to the plane…

A:

Q: Find the value of the following mplicit derivative tan y-sec x=5 find...y'

A: Given query is to find the derivative of the expression.

Q: Find an equation for the plane that is tangent to the surface z = In (x + y²) at the point P(0,1,0).…

A:

Q: Stan ³0sec ³0 do let v = tan@

A: ∫ tan3θ sec4θ dθ

Q: Find the angle between the pair of vectors below. u = (2,3) and v = (-2,5)

A: Given query is to find the angle bothe vectors.

Q: Find the equation of the line tangent to 2exy = x + y at the point (2, 0) Write the equation in…

A: Given query is to find the equation of the tangent at given point.

Q: 1. f cos³ 3x sin¹ 3x dx 2. fcsc4 5x cot4 5x dx 3. ƒ cos³ xdx from a = 0 to b = 2

A:

Q: S0³ (0+2) de -3

A: ∫θ-3θ+22dθ

Q: Numbers 4,5,6 please

A: Let's solve  given integration.

Q: Find the length of the curve x = y²³² +1 on 21 44 чу 3≤7≤5. □ стуре fraction, or round to the an…

A: To find the length of the curve.

Q: This question is designed to be answered without a calculator. If g(x) = si sint dt, then g'(x) = 0…

A:

Q: dx 9-x

A:

Q: Solve the applied minimum and maximum problems. Make sure to sketch figures to illustrate the…

A: Use minimizing concept

Q: What is the average value of f(x) = O 0 0 au al 17/12 +² 36 over the interval [1, 6]?

A: Here we have to find the average value.

Q: Find the extrema of each given function on a specified closed interval. 1.) g (x)= x³ - (3/2)x²,…

A:

Q: SUBJECT: DIFFERENTIAL CALCULUS FIND THE FIRST DERIVATIVE OF THE FOLLOWING FUNCTIONS. SIMPLIFY YOUR…

A:

Q: Find the gradient of f(x,y,z) = (x² + y² + z²) 23 26 Vf|(-2,2,-1) = i+ 23 54 |j+ 54 27 (Type…

A:

Q: d e) (In|sin x)) dx

A:

Q: Given the function below f(x) = √-324x³ + 1053 Find the equation of the tangent line to the graph of…

A:

Q: 1. TⓇ S (a) Find the general indefinite integral. 2t² + t²√t-1 t² dt

A: topic- definite integral

Q: (CLO-1) Find the values of a and b such that the following function if x 1. X-1 D=

A: Topic:- application of calculus

Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Given query is to find the attached population after 15 years.

Q: 4. Find f'(x) if f(x)= In (2x) + cos (6x)

A:

Q: Evaluate the integral. /² sin³ 0 cos²0 de Enter your answer in exact form. If the answer is a…

A:

Q: Determine the constant a so that the vector V = (x+3y)i + (y-2z)j + (x+az)k is solenoidal.

A: Follow the procedure given below.

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = xy + 2y², Po(-7,-9),…

A:

Q: Σ (-1)" n=0 2n TT (2n)!

A: Given: The series is  ∑n=0∞ (-1)n π2n(2n)!

Q: RIN Find the linearization L(x,y) of the function f(x,y)=e4x cos (3y) at the points (0,0) and 0₁-…

A:

Q: Find the derivative of the function at På in the direction of u. x-y g(x,y) = xy+2¹ Po(1,-1),…

A:

Q: Find the domain of =) = √x² – 3x

A: Given query is to find the domain of the function.

Q: Given: vector-valued function Ř(t) = (3 cos 2t, 9t, −3 sin 2t) 1. Reparametrize R using the directed…

A:

Q: 2. Evaluate the integrals. (a) S (b) [9rc (c) J (d) O 1+ e²r 9x cot(x²)dx -do -dx cos sin² 0 +1 -dx…

A: As per the guidelines we can solve 3 parts only

Q: This question is designed to be answered without a calculator. A farm has a rectangular pigpen that…

A:

Q: If A = 3ai +4j-k and B = 4i+j-3k, find the value of a if A normal to B.

A:

Q: Estimate sinx² dx with an error of less than 0.001.

A:

Q: 19. Find potential function for = (3xy, æ³)

A:

Q: 8. Evaluate z (9x² - (0x+6) dx

A: As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C And…

Q: Given the following functions: ind: f(i(x)) f(x) = 3x² − 5x + 2 g(x) = 7x² + 3x - 1 2x - 7 h(x) = 5x…

A: Given query is to find indicated composite function.

Q: Jmin = ymax =

A:

Q: Question 11 (CLO-2) Evaluate lim f(x) where (3x-4 if x2 02 O does not exist O 10

A:

Q: y = у 3x-1 x2+3

A:

Q: What is the exact area bounded by the curve f(x) = 1/2 X and the x-axis on the interval [1, 8]?…

A:

Q: b) √ ²x³-x+4 dx x3 7T 4 (sin X

A:

Q: Obtain the general solution unless otherwise instructed -24 y'"' + 4y″ + 9y' + 10y = ² when x = y =…

A: Given