Find g'(3) given that f(3) = -2 and f'(3) = 4. a. g(x) = 3x² – 5ƒ(x) 2x + 1 b. g(x) f(x) . . e

Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) = 8…

A:

Q: A large tank initially contains 100 liters of brine in which there is dissolved 5 grams of salt.…

A: This is linear differential equation application⇒dydt+py=Q

Q: 1. Center at (-3, 9), a vertex at (-6, 9), and conjugate axis of length 8.

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Find the following limit. lim X-0.25 lim x--0.25 x+9 x+2 x+9 x+2

A:

Q: Find y" by implicit differentiation. 4x³ + 3y³ Зу3 = 4

A: Quotient Rule of differentiation : ddx(uv) =v.dudx-u.dvdxv2.

Q: 4. Fill in the reference triangles with their missing sides and angles. 3 √√3

A:

Q: Find the total area of the region(s) bounded by the curves. Answer in either integer or fraction…

A:

Q: Write the linear equation for f(x), given f(1)=0 and the slope m=-2/3 A. f(x) = x 3 B. f(x) = −…

A:

Q: tion 8 of 22 Calculate the first, second, and third derivatives of y(x) = x² e²x (Use symbolic…

A:

Q: 3. Inverse trigonometric outcomes For this section, recall: du I Ja du -1 = sin-¹ ()+C, /du- -tan-¹…

A:

Q: Find the decomposition a = a + a₁ with respect to b if a = (3,4,2), b = (3, 4, 6). ab = (a||x, a|ly,…

A:

Q: Calculate  dy dx help pease. find the dy/dx  Simplify your answer.  y = x3(2 − x2)

A:

Q: Find the Laplace transform of the following: (b)sin 2t + Ans: (b) 2 3 cos 3t 2 2 13+4+3² +9 2

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

Q: Definite Integral of Absolute Value Function Worksheet a. √₂1x² - 4|dx

A:

Q: lim sec(x) + 7 (x, y) → (0, π/4) 4x - tan(y) sin (1) + 7 4 tan (4) X

A:

Q: (3) For the function y = x² + 11x – 12. (a) Find the derivative of this function and use this to…

A: Solution

Q: Let f(x,y) = 4√x+²³+ 4y + ex 1. Use local linear approximation to estimate. 4√ (0.160.9) ³+ 4(09) +…

A: Let fx, y=4xy2+4y+exy By using the local linear approximation to estimate the following…

Q: Use Lagrange multipliers to find the minimum and maximum values of f(x, y) = x + 3y, subject to the…

A: f(x,y)=x+3y

Q: a. (27x³y6z12) b. 10-4.1 103.5.10⁰.1 . C. 8³√x²4√y -2³√x√√ys

A:

Q: Find parametric equations for the normal line to the surface at the indicated point. (Recall that to…

A: Here we have to find the parametric equations for the normal line to the given surface.

Q: Find the limit. lim X-1 lim X-1 √√x²+3-2 X-1 √²+3-2 x-1 = (Type an integer or a simplified…

A: Solution: Let the given limit is

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A:

Q: Calculate the first, second, and third derivatives of y(t) = 7t³ - 6t² + 8. (Use symbolic notation…

A:

Q: -3x Let G(x)=x2-9 A. Factor the denominator. B. State the domain of G(x). C. Determine the…

A:

Q: Given two vectors ū and v such that the length of u is 3 and the length of v is 5, and the angle…

A: As per your request , (3) Given that , u→=3 , v→=5 , θ=π3 Determine u→×v→2+2u→+v→·u→=?

Q: Evaluate the integral. x+7 2 x² +64 dx

A:

Q: Problem 3. The number of giant pandas in China at the beginning of the year 2000 was 9205. The…

A: The net change theorem says when a quantity changes the final value equals the initial value plus…

Q: Given the function f(x) = 5x - 4, find the inverse function f-¹(x) =

A:

Q: The graphs of y = 5, y = g(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to…

A: Solution is here

Q: Find Î(t), Ñ(t), Â(t), and the curvature x(t) for r(t) = (sin³ (t), cos³(t), 2), t€ (0,1). (Your…

A:

Q: write the first trigonometric function in terms of the second for ? in the given quadrant. sec(?),…

A:

Q: (How?) (34) =(x)5

A:

Q: giờ giả-50 x²-3x+2

A:

Q: plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 35,000…

A:

Q: QUESTION 4 Evaluate tan³3x dx 01 1 tan3x -x +C tan ³3x + C tan ³3x + C tan3x - x +C

A:

Q: The graphs of y = f(x) (solid) and y = g(x) (dashed) are shown. The two graphs intersect at (15,…

A: Ques 1 ∫015gx-fxdx This integration result in area of REGION 1. Hence answer is 11.

Q: Calculate the scalar triple product u (v x w), where u = (1,5, 0), v = (-8, -9,9), and w= = (4,…

A:

Q: Let u = and v = Select all of the vectors that are linear combinations of {u, v}. (Check every…

A:

Q: Let D = {-4, √6, 0, 2, 6.5, 10, 0.4, n}. Which elements of D are real numbers? (Select all that…

A: Real number:-It called father of number because it contain all numbers i.e it contains rational ,…

Q: Let f and g be functions such that f(8) = 24, ƒ'(8) = 5, ƒ(24) = 16, f'(24) = −6, g(24) = -29,…

A: Given values are f8=24, f'8=5, f24=16, f'24=-6, g24=-29, g'24=-10,g(16)=-27, g'16=55 we need to find…

Q: Problem 8. (a) Je* sin (2) (b) ) [(x +3 (c) [²² +3) In (x) dx (In (x))² dx Calculate each of the…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: QUESTION 7 Evaluate [x²e² de O e¹(x²-2x+ 2) + C Oe(x²+2x+1)+C Oe(x²-2x+1) +C Oe(x²+2x+2) + C

A: The given integral is: I=∫x2exdx   As we know the common integral. ∫exdx=ex+C   Use the integration…

Q: A; B; Evaluate the expression without using a calculator. Expand and simplify. (2x + 3)² C; Solve…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: For an experiment at the University of Montana, Christopher sends an object down a tube 0.4 meters…

A:

Q: =t³ - t 24t+1. (a) Where is the particl and at what velocity is it moving when t = 1? (b) When will…

A:

Q: Find the solution of the given DE. dT 8. +0.0697=2.07; 7(0) = -30 dt

A:

Q: he graphs of y = f(x) (solid) and y = g(x) (dashed) are shown. The two graphs intersect at ( Region…

A: Topic:- application of integration

Q: Write the quadratic function in standard form. f(x) = x2 + 16x + 59    f(x)= ?   smaller x-value=…

A:

Q: Use the second derivative test to identify any critical points and determine whether each critical…

A:

Q: 1. f(3x + 2)¹4 dx 2. S 4t³ (t¹ + 4)³ dt 3. √ √2x - 1dx

A: