Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 2, f'(1) = -1, g(1) = -2, and g'(1) = 3. Find h'(1). h(x) = (x² + 6)g(x) h'(1) =

Q: Let the position vector be R(t)=⟨3t,4cos(3t),4sin(3t)⟩. Compute the principal unit normal vector…

A: Given data:- The given position vector is, Rt=3t, 4cos3t, 4sin3t

Q: Find f=V 3 √x + y 6 02 f дудх

A: The given function is: fx,y=x3+y6   As we know that; The Chain rule: fgx'=f'gx·g'x The Power law:…

Q: 5 Spending on travel and tourism (in billions of dollars) for the years 1991-2009 is given in the…

A: Concept: Power function: A function having a single term that is the sum of a real number, a…

Q: rdp-(p+pr) dr = 0

A: Given :rdp-p+prdr=0

Q: A sporting goods store sells 150 pool tables per year. It costs $8 to store one pool table for a…

A:

Q: c) Now suppose that a > 6. In this case, simplify the following expression so that it does not…

A:

Q: Find the positive root for x^2 - 0.9 x -1.52 0 = in the interval (1, 2) by the Bisection Method with…

A: The given equation is; x2-0.9x-1.52=0.

Q: =1 Find hat such that fal= (h ol F(x) = √x +13 -4 g(x) = 8x + Suppose that g(x) h(x) =

A: Topic:- calculus

Q: 4 2 IF Ø = 2x2² - xy₁ FIND 01111 AT THE POINT (2-2,1)

A:

Q: For the function f(x) = 6(2) - 8, state its domain, range, and asymptote and then graph the…

A:

Q: The curvature of a plane parametric curve x = f(t), y = g(t) is given by |x y - yx| [x² + y2]3/2…

A:

Q: f'(x) = || √4 + X 1 2√4+x (4+x) State the domain of the function. (Enter your answer using interval…

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

Q: $1+79 atbi form

A:

Q: Profit The profit P (in dollars) made by a cinema from selling x bags of popcorn can be modeled by…

A:

Q: y = (0,1) mox: (1,12) 2.Write the equation of the given graph. U wwtaai-y 3. A pen consists of 4…

A:

Q: 2) The table below provides the evaluation of the function f(x) at various values. Choose which of…

A:

Q: Given f(x, y, z) = xyz, find fyxy

A:

Q: Determine the solution of the 1st Ordered Differential Equation: y(x² + y²)dx + x(3x² - 5y²)dy = 0

A:

Q: Solve (D³ − 2D² + 2D) y = 0; when x = 0, y = 0, y = 1 and y/l =

A:

Q: C = {1,2,4,6} B = {3,5,7,9} 9 A = {1,2,4,6} f = {(1,3), (2,5), (4,7), (6,9)} g = {(5,6), (3,2),…

A: Given 1. A=1,2,4,6, B=3,5,7,9 and C=1,2,4,6 2. f:A→B and g:B→C 3. f=1,3,2,5,4,7,6,9 and…

Q: 6. B. A A = t²i- tj + (2++1) R B = (2-3)2 +Ĵ-tê d (A x d B dt dt dB dt 11 @t=1 FIND:

A:

Q: Find f (x) for f(x) = 5 + 10x. Enter the exact answer. Enclose numerators and denominators in…

A:

Q: 1. The lim x² - 1 1 x 1 x 16 x = 1. GUI = 2. Justify why is this so even though the function is not…

A: Given limit is limx→1x2-1x-1=2 We need to justify why the limit exist.

Q: of f(x)=x+3 and g(x) = x²- 2 1) g (f(x)) 2) f(f(-7)) 3) gfg(as)

A:

Q: Apply Newton's Method to approximate the x-value of the indicated point of intersection of the two…

A:

Q: dy - Find ay for x³ + y²x − 3 = 0

A:

Q: Find y' of tan(x²y4) = 3x + y²

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: If f(x) = x+3 and g(x)=x²-2, find the following. a. f(g(0)) c. f(g(x)) b. g(f(0)) d. g(f(x))

A:

Q: For y = f(x) = 3x³, find Ax, Ay, and Ax= Ay Ax 1 given x₁ = 2 and x₂ = 5.

A: To find the delta x and delta y and delta y/ delta x

Q: x² - 10x x-0 9x²-x (d) lim

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

Q: Differentiate the following function. f(x) = x5 e5x f'(x) =

A:

Q: t) = 80,000e.05t, where t is the number of years after 1990. a. How many dollars per year will the…

A: Topic:- algebra and calculus

Q: √2142 dr = || +C

A:

Q: show complete solution

A:

Q: Which of the following does not yield an inverse trigonometric function? 이 이 이 이 dx æVæ2 _ 1 dx x² +…

A:

Q: Find the inverse of the matrix A, if it exists Show A=-407 030

A:

Q: A. A. Find if x = 2t4 - 4t² and y = t4 - 4t. dx t²-t+1 2t(t+1) B. t² +t+1 2t(t+1) Find f'(t) if f(t)…

A:

Q: x-2 13) Consider the function f(x)=x-[x] where [x] is the greatest integer less than or equal to x.…

A: Please see the below picture for detailed solution.

Q: iii. [ 2² √₂³ +11de, x5 u = x³ +11 bstitu

A: Solution is given below:

Q: Find the area of the region bounded by the graphs of the equations y=x³+x, x=4, y=0. Round your…

A:

Q: Can you answer question 5 please?

A: By change the f(x) and g(x) as polynomial we can change the value in different limit condition.

Q: Then (fog)(x) = (fog)-¹(x) = (f ¹ og ¹)(x) = (g-¹ of ¹)(x) = f(x)=x+4 and g(x) = 2x - 5.

A:

Q: If satisfies the IVP y dy dx = sinx, y(0) = 5, then_y(+1) = A. 6.64 OB. 6.84 O c. 6.54 O D. none of…

A:

Q: Find the curl of the vector field F(x,y,z)=x^2yi-2y^3zj-3zk.   A. curl F = 2y3i + x2k          B.…

A: Option (c) correct  For detail...go through the solution

Q: dw dt = x²y = xy³, x = cos(t), y = et Find: @t= 0, when w =

A:

Q: 1.) Students from a mathematics class were asked if they were also currently taking the following…

A: a.

Q: Problem 4. Calculate each of the following indefinite and definite integrals. Remember that you…

A:

Q: 2. If x = t + cost, y = sint, find d²y dx²*

A:

Q: Find zxand zyif z = x² tan¯¹ (²) — y² tan¯

A:

Q: If you have 1/2 cups of water and add it into a 2/2 cup bowl how much cups do you need.

A: