Solve for x: -X (f) 6*+¹ - 6-* = 5

Q: Consider the following function. f(t) = 70e0.4t (a) Find the relative rate of change.       (b)…

A: Given query is to find relative rate of change

Q: Evaluate the integral (x² – 2y²) dA, where R is the first quadrant region between the circles of…

A:

Q: The parametric equations of lines L₁ and L₂ are as follows: L₁ x= 1+ 4t y=2+7t z = ½-5t and L₂: x= 7…

A:

Q: equation, find dy/dx evaluated at the given values. y²-x5= = -7 at x = 2, y = 5

A: Topic:- application of derivatives

Q: Evaluate the double integral is the region in the first quadrant enclosed by the circle x² + y² = 36…

A:

Q: 2. A thermometer reading 18°F is brought into a room, the temperature of which is 70°F. One minute…

A:

Q: f(x) is shown in black (the thicker line), g(x) is shown in red (the thinner line). 6+ 5 3 N A + 5 6

A: Concept: A relation between a collection of inputs and outputs is known as a function. A function…

Q: Use Fubini's Theorem to evaluate the double integral ſƒ ƒ(x, y) dA, where f(x, y) = 8x² − 4x²y²-y…

A: Answer: The solution is given below:

Q: A manufacturer of Blu-ray Discs (BDS) estimates the yearly demand for a BD to be 10,000. It costs…

A:

Q: Find .6 7 LT." 3 4 xy dydx.

A: Given query is to find the integral.

Q: Graphs of f(x) = 5x and g(x) = 5√ intersect at the points (0,0) and (1,5). The region between those…

A:

Q: Evaluate the iterated integral. 12 18 1²/10 (x² - 2y²) dx dy J1 Jo

A: Need to evaluate the double integration.

Q: Find the derivative of the function y = -7-5x. dx =

A:

Q: Given f(x)= x-2 ex a) Determine on which intervals f(x) is increasing. b) Find the…

A:

Q: Use the matrices to find BA, if possible. [2121 [11311 A = 331 B = 4311 [3201] + 2 161 129 1 12 1 0…

A:

Q: A. Find the orthogonal trajectory for the family of straight lines passing through the point (1,1).…

A: Concept: We differentiate the given family of curves with respect to x on both sides and get the…

Q: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE. Enter…

A:

Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 9 about the x-axis.…

A:

Q: Find the absolute minimum and maximum values. f(x)= 2x3+ 3x2-12x-9 over the interval [-3,3]

A:

Q: The position of a particle moving along a coordinate axis is given by s(t) = t³ - 9t² + 24t + 4, t ≥…

A:

Q: ← Find the derivative of the function y = (5x+1)3³ (4x+1)-². dx 11

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

Q: Solve the corresponding differential equation given the general solution via elimination of…

A: We can find the differential equation of the given curve by eliminating the arbitrary constant a.

Q: Evaluate the iterated integral. 1/2_ *y/f 3/y [ /o sin y dz dx dy

A:

Q: Directions: Circle each function that is an example of exponential decay (there are exactly five of…

A: As per the instruction, we will be answering the first three subparts. For (a), Graph: For (b),…

Q: Q2. By finding an apporppriate integrating factor, solve (3x²y + 2xy + y³) dx + (x² + y²)dy = 0.

A:

Q: y 5 sin(x) cos(x) + 4 csc(x)

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

Q: 4. Solve the given integral [(2x²-x₁ xe*)xdx 2: O a. 2x² In 2 4x2 O c. In 2 30x³ +C +3e+³ +C 2x² 1 -…

A:

Q: What is the derivitaive of the function? f(x)= log2(xex)

A: We have to find derivative of given function.

Q: In Exercises 33-36, find the arc length of the graph of the parametric equations on the given…

A: (33).The given parmetric curve is:x=-3sin(2t)       and       y=3cos(2t)       on  0, π

Q: 4. Solve the given integral [(2x – xex")xdx 2x² In 2 2 4+² O C. In 2 - 3ex³ - ·+3ex³ +C + C e. None…

A:

Q: PS #2 16. Find the equation of the normal line to the curve y = x¹ + 1 that is perpendicular to x +…

A:

Q: 9. Consider the following 2 x 2 matrix A and basis S of R²: = [] and 5 = {[¹²₂] [²³₂]} The matrix A…

A: Given linear operator A=2456     and  basis   S= 1-2  ,3-7

Q: Use sigma notation to write the Maclaurin series for the function COS IIX.

A:

Q: Find f. f"(x) = cos(x), f(0) = 3, f'(0) = 6, f"(0) = 4

A:

Q: 149. 10/1/2 = -0,693 SEN

A:

Q: Find three positive numbers x, y, and z that satisfy the given conditions. The sum is 72 and P =…

A:

Q: Choose the correct statement about the below function 00 B O One to one and onto O One to one but…

A: By using function theory

Q: Solve for the general solution of the given DE: O x In y + In In yl = y + c Ox In x + In In y = x +…

A: We can find the solution of the given differential equation by using the variable separable method.

Q: state the axioms that define a group.

A:

Q: vinnnnn 2. Use sigma notation to write the Taylor series about Xo =1, for Inx.

A:

Q: B. Solve the following word problems. Express all answers in simplest form with the correct units.…

A:

Q: Find parametric equations of the line through (−2, 1, 3) that is parallel to 3i - 7j+k. x(t) = 5 t -…

A: Given query is to find the equation of the line.

Q: In Exercises 25-28, write the equation of the given ellipse in standard form. 25. x²-2x+2y²-8y = -7

A:

Q: 2. Solve the following integral [(secx a. tanx + secx + C O b. secx - tanx + C O c. tanx - secx + C…

A: formula used  ∫sec2x dx=tanx +c∫sec(x)tan(x)dx=sec(x)+c

Q: Find the derivative using the chain rule of the following: 4 f(x) = (1+x4_. NO NEED TO TYPE IN YOUR…

A: Topic - Derivative of a function We are given, f(x)=1+x4-1x53formulas used:chain…

Q: Let w(x, y, z) = x² + y² + z² where x = sin(2t), y = cos( - 7t), z = e-8t. dw dt dx dy dz & dt dt dt…

A:

Q: Given the partial graph of g(x) below, final all zeros. -12 g(x) = x³ + 12x² + 7x − 4 -10 O Zeros :…

A:

Q: 7. For the function f(x) = 4x 3 + 3x2 − 6x + 1, D = (−∞, ∞) (a) Determine on which intervals f(x)…

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

Q: 2. Evaluate the integrals 1 zx+z a) b) c) 6xzdydxdz 000 3 1 √1-z² SSS zey dxdzdy 000 1 2x y [ […

A: To find:- ∫01∫0z∫0x+z6xzdydxdz ∫03∫01∫01-z2zeydxdzdy ∫01∫x2x∫0y2yxzdzdydx

Q: Find the equation of the tangent line to the curve y = 2 sina at the point (7,1). The equation of…

A: