3. Find the value of x for which the slope of the tangent line to the curve y = 100e is - 500. -5x [A] 5 [B] 0 [C] 50 [D] 1 [E] 10

Q: Given f(x, y) = x¹ + 5x²y³ – 5y6, find 4 fz(x, y) = fy(x, y) = fxx (x, y) = fxy(x, y) =

A:

Q: are

A:

Q: Find the inverse transform of the given function of s. 3 √ 55/2 F(s) = A B There is no correct…

A: We have to find the inverse transform of  Fs = 34πs52.

Q: (c) d (100K+200) ((-1)u) p (p)

A:

Q: Find the cross product axb 6=(-4,3-5) Where a= (-3, -5,0) and (483 axb = <D₁ 0₁ 02

A:

Q: 47-48 Simplifying a Difference Quotient Simplify using the 1101 Binomial Theorem. (x + h) ³ - x³ h…

A:

Q: Which one of the following could be the graph of the polar function r = sin 30 ? 1. 011 2.

A:

Q: Find the derivative

A:

Q: Concept Check: Evaluate the following integrals: e³x dx 1-2e³x 2. ·S₁ TENTIA

A: To evaluate the given integral.

Q: Find an equation of the tangent line to the curve at the following point: y = (1-3x)¹0, (0, 1)

A:

Q: 4. y'-(3+anx)y = 1

A:

Q: Solve the given initial value problem by using Laplace transforms. y" + y = 2, y (0) = 4, y'(0) = 3…

A:

Q: 0 = XP(^vx-2)^x + ^p (Tvx-tv^) differential equations.

A: A differential equation of the form Mdx+Ndy=0 is exact if ∂M∂y=∂N∂x, and general solution is…

Q: What is the first derivative of f(x) = 9(x¹)? Select the correct answer below: Of'(x) = (x4)9x¹-1) O…

A: To find the derivative of given function.

Q: H..W. solve the following equc.t.i.9.1.2........ 2 y .................

A: To solve the following differential equation.x dy=y2-3y+2 dx

Q: Draw - 7T in standard position. Answer in radians, the □ is already given. 4 -5 -4 -3 -2 -1 Clear…

A: We need to plot the angle :

Q: Differentiate. y' = y = sec(0) tan(0)

A: Given, y=secθ tanθ

Q: The average price of a two-bedroom apartment in downtown New York City during the real estate boom…

A: Topic- exponential function and derivatives    We are given, The average price of two bedroom…

Q: Fill in the first 3 levels of Richardson extrapolation to estimate the derivative of sin(x) at x =…

A:

Q: 3. fxe (4-x²) dx

A: ∫ xe4-x2dx

Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German…

A:

Q: Find the derivative of the function. Simplify if possible. y = arccos (e³x) y' =

A: Solution : Given that

Q: The volume of a box is 10x3 + 27x2 + 2x - 24 with the length 5x - 4 and the width 2x + 3. Find the…

A:

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

A: Let x m be  length and y m be  width of rectangle  Perimeter of rectangle=2x+y m Area of…

Q: Use interval notation to represent the separate intervals where 2x + 5 will be non-zero:

A:

Q: 2x+y=1" H...

A:

Q: Find equations of level curves containing a point Find an equation of the level curve of the…

A: Given fx, y=y2arctanx

Q: 11-14 Find the differential of each function. 11. (a) y = xe-4x (b) y=√1-14

A: Solve the given

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: Graph:-

Q: Solve (y + 2xy³) dx + (1 + 3x²y² + x)dy = 0. Select one: O a. xy³ + x³y² + y = c O b. xy + x³y² + y…

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: See this solution in below.

Q: Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min, and its coarseness is such that…

A:

Q: The line normal to the graph of f at the point (1,2) passes through the point (-1,1).  Which of the…

A: Topic = Functions

Q: (a) d (√1+x²)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1 2 ső ső (x + y) dydx 0 O none is correct O-3 02 0 3

A:

Q: - 2q + 250, where q is the quantity Let the demand function for a product be given by the function…

A: Given,Demand Function D(q) = -2q + 250(A) Revenue from selling 105 itemsRevenue function = q ×…

Q: 4) Find the equation of the tangent line to the function f(x) = 3 at x = 1. Round the slope to one…

A:

Q: M3.2. d. A cadet engineer determines that when x hundreds of units of a particular commodity are…

A:

Q: still

A:

Q: (a) Find the dy = differential dy. y = ex/2

A: We will use differentiation to solve this.

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in.…

A:

Q: Determine the higher-order derivatives of a function of two variables. Given f(x, y) = x - 5xy³ +…

A:

Q: Find the Laplace transform of the function. -t f(1) = 1²e-¹ A B C 24 s5-1 There is no correct answer…

A:

Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German…

A:

Q: HW Salve the following equat.i.912.s...... 2. Schichen Ren) dite.

A:

Q: If a and h are real numbers, find the following values for the given function. The function is…

A:

Q: Find the following using the table below. x 1 f(x) 3 f'(x) 2 2 3 4 2 4 1 4 1 3 g(x) 4 3 1 2 g'(x) 2…

A: Given that hx=fx.gxh'x=f'x.gx+fx.g'xh'2=f'2.g2+f2.g'2h'2=4×3+2×3h'2=12+6h'2=18

Q: Find the directional derivative Du f(−5/6,1) for the function f(x,y)=cos(π(3x+4y)) in the direction…

A: Given fx, y=-cosπ3x+4y v=9, 12

Q: Find the derivative of the functions f(c)=xsinh-1 8/3 √9+x²

A: see below the answer and calculation

Q: Put the equation y = x² + 12x + 35 into the form y = (x - h)² + k: Answer: y = Question Help: Video…

A: