1.) (3tz - z²)dt + t(t = z)dz = 0

Q: 1 [³ [2x+¹ dz dx =

A: See this solution in below.

Q: Use the substitution a = 2 sec t to evaluate the integral - dz

A:

Q: If g(x) = 2 + x + ex, find g-¹(3).

A:

Q: Consider the following function and graph. f(x) = 9 -10 (b) lim f(x) X→-4+ X x²16 Need Help? -5 y…

A: Given query is to find indicated limit from the graph.

Q: A) (3x − 1)² – (4x − 7)(4x + 7) - - and combine like terms. Simplify your answer as much as…

A:

Q: 3.) (2xy³ + y4)dx - (2y - y³x)dy=0

A:

Q: If f(x) is continuous in the interval [-1, 2], f(-1) > 0, and f(2) > 0, can we use the Intermediate…

A: Intermediate value theorem states that if f is continuous on [a,b] and f(a)<0 and f(b)>0 then…

Q: Suppose C is a constant and that O 1 0 1 2 exists. Then this limit must evaluate to 2 lim x→0 2…

A:

Q: Rewrite the quadratic function in transformation form. h(x) = 2x² + 8x - 5 h(x) = Give the vertex. (…

A: Here we have to write inthe standard form

Q: Find the exact solution for e If there is no solution, enter NA. Enclose arguments of functions in…

A: Given e2x-5ex-66=0 The objective is to find the exact solution.

Q: Rewrite each equation as requested. (a) Rewrite as a logarithmic equation. 6-36 (b) Rewrite as an…

A:

Q: Suppose it takes 4 hours for a certain strain of bacteria to reproduce by dividing in half. If 75…

A: The total number of bacteria present after x days is f(x) = 75*(64 ^x) i.e. in one day bacteria are…

Q: The graph of y = f(x) is shown below. -6-5-4-3-2 Provide your answer below: 23456 Draw the graph of…

A: given graph of f(x)Translation rule:1) f(x+k) shift f(x), k units left2)kf(x) vertically stretch the…

Q: What is the solution to the differential equation below:  dy/dx = x2y2 when x > 0, y > 0?  A. y…

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

Q: A particle moving in the x-y plane has a position vector given by r = 1.78t²i +0.94t³j, where r is…

A:

Q: Find the indicated derivative. for p = 9² +2 4q-1 11 da

A:

Q: Problem 3: Sketch the graph of a function that satisfies the following conditions: a. lim b. limo-…

A:

Q: 3) In the Mickey Mouse Fractal shown below, the first diagram has a radius of 102cm. Each successive…

A: We have to find circumference of smallest circle only in 6th stage after decrement of 1/3 in each…

Q: How do you find the exact values of the points in a curve where the tangent line to the graph of…

A:

Q: Find the 31th derivative of the function f(x)=cos(x) Explain step by step.

A:

Q: Find a parametric curve that describes the intersection between the surface S: x2 + y2 - z2 = 0 and…

A: The answer is given below:

Q: The angle measures of AJKL are in radians. J K

A:

Q: What is the solution to the differential equation:  dy/dx = y/(x2 + 1)  when y > 0?  A. y = eC +…

A:

Q: 2 X₂ - 10X-4 = 0

A: To solve the following equation by using the method of completing the square.x2-10x-4=0

Q: Find the limits. f(x) = 2x² 3x + 15, g(x)=√x + 3 (a) lim_ f(x) = X-3 (b) lim g(x) = X→ 24 (c)…

A:

Q: Find the domain and range of the function graphed below. Domain: T Range: 3 ردا N 744 -6 -5 -4 -3 -2…

A: need to find out the domain and range of the function given in the graph.

Q: A mummy was found today. It now contains exactly 65% of its original Carbon 14 content. Assuming…

A:

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

A: Fluid force=∫abρh(y)d(y)dywhere ρ is the density of liquid            h(y)  horizontal length of the…

Q: S Find the critical points and the inflection points of the following function: f(x) = 3(ln 2x − x)

A:

Q: 5) A student programs a computer to draw a series of straight lines with each line beginning at the…

A:

Q: Find ACD, if possible. A = 2-1 0 1 2-3 C = -2 03 3-22 -1 33 D = 1 -2 0-1 3 1

A: Given A= 2-11 02-3,   C= -203 3-22 -133 and D= 1-2 0-1 31To find: ACD

Q: 70-5 10 Problem 8: Find f'(x) - 9 f(x) = x 5+1 X ³-1

A:

Q: 1.) (3tz - z²)dt + t(t − z)dz = 0 -

A:

Q: (2) A force of 4 N will stretch a rubber band 0.04m. Assuming that Hooke's Law applies, how far will…

A: Note: Hooke's law: F= kS Where F is force  k- elastic constant S-strain   Work formula: W= F.S…

Q: Let f(x) = The equation of the tangent line to the curve at the point (3,0.40000) can be written in…

A:

Q: √2142 dr = || +C

A:

Q: (3x²y² + 2y³ - 4y) dx + (2x³y + 6xy² - 4x) dy = 0

A:

Q: Find the derivative of each of the following functions. If f(x) = e ³x, then f'(x) = 3x If g(x) =…

A:

Q: Let f(x) = 2x³ + 5x+3. Find x if. f-¹(x) = 1.

A:

Q: Consider the following vector function. r(t) = (3t², sin(t) - t cos(t), cos(t) + t sin(t)), t> 0 (a)…

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

Q: If f(x)= e ³x, then f'(x) = If g(x) = log 8 x, then g'(x) = If h(x) = In (2x), then h'(x)= If f(x)=…

A: We have to find out derivative

Q: Assume that f(x) is a one-to-one function. a) If f(8) = 3, then f-¹(3) = b) If f¹(-7)=-6, then f(-6)

A: For a one-to-one function, If f(x)=y then f-1(y)=x

Q: In each of the following, eliminate the arbitrary constants. 1. x³ 3x²y = c

A:

Q: Given the following piecewise function, evaluate f(-3). f(z) -{ Provide your answer below: 6z+4…

A:

Q: Find f'(x) by using the definition of the derivative. 1 4x f'(x) = f(x) =

A:

Q: (3x²y³ + 3 sinx+4y) dx + (3x³y² + 4x) dy = 0

A:

Q: Suppose f(7/6) = 8 and f'(π/6)= -2, sin x f(x) and let g(x) = f(x) cosx and h(x) = = g'(π/6)= = and…

A:

Q: 00 8 12 -1 lim g(x) = lim g(x) x 3 = 3+ 2+ 10 -1 1 2 3

A:

Q: The spread of a virus is modeled by V (t) = −t3 + t2 + 12t, where V (t) is the number of people (in…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: f(x) = -6x + 17

A: The given function is: f(x)=-6x+17