5. f(x) = In ( =

Q: 7/8x - 12 = -1/8x - 2

A: Given; 7/8x - 12 = -1/8x - 2

Q: Problem 2. Consider the region R bounded by the the graphs of y = 4 - x², and y = x² - 2x. Sketch…

A: To set up an integral which gives the exact area bounded by the given graphs.

Q: Differentiate y = ex+2 +9.

A: Given function is y=ex+2+9 We need to find the first derivative of the given function.

Q: Sketch the region of integration and evaluate the following integral, where R is bounded by y = |x|…

A:

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: Consider the following functions: f(x) = 16-3x - x² 22 g(x) = 5-2x Evaluate (fog)(x). O-4x² +26x -…

A:

Q: Given f(x, y, z)=√4x² + 3y² + 2z², find fz(x, y, z) = 2 fy(x, y, z) = fz(x, y, z)=

A: Given fx, y, z=4x2+3y2+2z2

Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√9-x² dy ||

A:

Q: 3. The population of Sometown was 12,000 in 2000 and grew to 15,000 in 2010. Assume that the popu-…

A:

Q: Find the equation of the line L that passes throught point P(6, – 6, 3) and Q( − 4, 3, — 2). r(t) =…

A: To find the equation of the line L that passes through points P6, -6,  3 and Q-4, 3, -2.

Q: Find the solution of 25+1 di +T=80e-0.04² Select one: O a. T = (3.2tc)e-0.04t O b. T = (3.2t + c)e…

A: Here we have to solve the differential equation.

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A:

Q: Use the total differential to approximate the change in a function of two variables. Find the…

A:

Q: 29. Sketch a graph of a function f that satisfies the following conditions: 1. dom(f) = [-3, 3]. 2.…

A:

Q: Problem 2 Given the following differential equation: (y³+ kxy4 - 2x)dx + (3xy² + 20x²y³ - ky)dy = 0…

A: Concept: Take into account the equation P(x, y)dx + Q(x, y)dy = 0 . If v(x, y) = c, the differential…

Q: Jse logarithmic differentiation to find the derivative of the f 3x y =(√x) ³x ''(x) =

A: We need to find out the differentiation of the function.

Q: Question 29 Given 3x7 +825 - 21. determine, y' 630x +480x² + O 2520z³ +960x O 840x³ +360 P DE 126…

A:

Q: r(t) = (12t, 7+3 cost,4+3 sint)

A:

Q: what is the derivative of the inner function?

A: We have to tell the derivative of inner function

Q: Let f(x) = √28 - 4x and g(x) = 4x² — 2. • You must combine all like terms before yo your answer. •…

A:

Q: A rectangular poster is to contain 162 square centimeters of print. The margins at the top and…

A:

Q: Solve (ysinx + xycosx)dx + (xsinx + 1)dy = 0 Select one: O a xysinx+y=c O b. xsinx + y = cy O c.…

A:

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

A:

Q: Let / be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x…

A:

Q: Number 2: Given the following first-order linear differential equation: v-1 dv 32 dt V e Write the…

A:

Q: A farmer has 100 feet of fence with which he plans to enclose a rectangular pen along one side of…

A: Given query is to find the dimenyfor maximum area.

Q: Find the derivative of the function: O y = a + (In²a + ln x + 1) O y = 2+1 ¹+¹(x ln² x + ln x + 1)…

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√9-x² dy

A:

Q: Understand Properties of the Cross Product Find the Vector Orthogonal to Two Given Vectors Need a…

A:

Q: Make an appropriate substitution and then use integration by parts to evaluate the integral. 5x14 ex…

A:

Q: Find the derivative, y', of the function y = sinh(lnx) - cosh(lnx) O y = 0 O y = 1 Oy = 2/ 0 y =…

A:

Q: A Ferris wheel with a radius of 13 m is rotating at a rate of one revolution every two minutes.…

A: The given data is: A Ferris wheel with a radius r=13 m is rotating at a rate of one revolution every…

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

A: Solve the given

Q: A series circuit has a resistance R = 10 Ohms and inductance L = 2. The battery gives a constant…

A:

Q: Find the derivative of the function: y=xz²

A: We need to find out the derivative of the  function.

Q: Find r(t). u(t). r(t) = (7t − 8)i + t³j+ u(t) = t²i - 9j + t³k r(t) u(t): Is the result a…

A:

Q: Find the parametric equation for the line where the planes 4x + 6y + 2z 12 and 2x - y + z = 2…

A:

Q: X = 8 At the end of your work, sketch the graph of 5 x²¹ 2. y 8x8 and 1. y = 3. The tangent line at…

A:

Q: Find y': y = arc cos 0 = -√2 O y Oy=-1/72 V Oy= Oy=-- 9-1² 3

A:

Q: Box office revenue at a multiplex cinema in Paris is R(p) = 3600p - 4p³ euros per showing when the…

A:

Q: Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P…

A:

Q: y-values 9 8+ 7+ 6- 4 3- 2 1 2 3 x-values 4 5 y-values 4- 3 2- 14 h(x) 1 2 3 x-values 5

A:

Q: Draw the angle 180° in standard position: -5 -4 -3 -2 -1 Clear All Draw: 5+ 4+ 3+ 2+ H -1 -2+ -3+…

A:

Q: Assume that we know that f(x) is a one-to-one function. a. If f(-6) = 7 then f-¹(7) - -6 b. If…

A: Given:- fx is one-one  function⇒y=fxso f-1y=x

Q: Find an equation of the level curve of the function z(x, y) = ey (x² + y2) that passes through the…

A:

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

A: Given, y=secθ tanθ

Q: Evaluate the double integral by first identifying it as the volume of a solid. 12 18 (8 - 4y)dA, R=…

A:

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A: Given vector:- rt=2ti+etj+e-tk

Q: Let f(x) = 0 for x < 0 and f(x) =x3 for x ≥ 0. Match the following. Here DNE means does not exist.…

A: Givenf(x)=0,x&lt;0f(x)=x3,x≥0We need to findf'(0),f''(0),f'''(0)

Q: 1. Exponential growth and decay can be expressed as A(t) = Apekt, where A(t) = the amount at time t…

A: if  k&gt;0   ,  Exponential growth k,0   , Exponential decay