57. Use the substitution u = x/3 to prove dx 1942=tan 1+0 www C 9+x² 3 3

Q: Which one of these is a vector equation for a line in 2-space? y = 3x + 7 =(-2, 1,0) + s(-4, 2, 1) +…

A: Given ○y=3x+7○r→=-2, 1, 0+s-4, 2, 1+t1, -1, 2 s,t∈R○3x+4y+7=0○r→=2, 1+t-1, 3 t∈R

Q: Evaluate the piecewise function at the given valuesof the independent variable. f(x) = { 5x+3 if x<…

A: Given piecewise function is  f(x) = { 5x+3 if x&lt; 0            { 4x+7 if x ≥ 0 We have to find…

Q: lve y' = 14xy – 2x, y(0) = 11 x) =

A: Topic:- application of integration

Q: it a rock is dropped from a height of 288 ft, its poistion t seconds after it is dropped until it…

A:

Q: Given the function y = −2x√/2 - 4x, find dy in any form.

A:

Q: The graph of y=f(x) is shown below. Find the values of f(x) for x=0,x=3 and x=6

A: Here we have to find the values of f(x).

Q: 15 Lo - - dx 15 X (x + 1) ²/ O 0 O or| 800 88 O 1 O 176 5

A: The answer is 0.

Q: The planets move around the sun in elliptical orbits with the sun at one focus. The point in the…

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: 2. What is the maximum value of the parabola shown? y = - 2(2x − 1)² - 5 a) x = -1/ b) y = -5 c) x =…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  factor out 2

Q: 4 sin(x - 2) x→2 3 ln (3x – 5) Evaluate lim and write your answer in simplest form.

A: We can find the limit in the following steps.

Q: Evaluate the indefinite integral sin² t cos³ tdt = + C

A:

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A:

Q: (2xy + y) dx + x (x + 1) dy = (x² - 1)dx

A:

Q: Use differentials and the graph off to approximate the following. (Round your answers to three…

A:

Q: Σ(-1)^+¹ Test k=1 1 for absolute/conditional convergence

A: The given series: ∑k=1∞-1k+11k5 .We need to test for absolute onvergence and conditional…

Q: X 2 Find x² +1 -dx

A:

Q: 3 3 3 2 (49) (+91 i- -74+ i n n n integral, that is provide a, b and f(x) in the expression f(x)dx.…

A:

Q: Need

A:

Q: Let y = tan(2x + 2). Find the differential dy when z = 5 and dr = 0.2 Find the differential dy when…

A:

Q: 52. y' - y = y³

A: We need to solve D.E.

Q: √= - 4x + 43 x² 11x + 18 dx = +C

A:

Q: (i) Solve the following triangle. (You may need a calculator) C A 45° 105° N B

A: As per the guidelines, we must answer only one of the multiple questions given. Therefore, I answer…

Q: Use a system of linear equations with two variables and two equations to solve. A number is 8 more…

A:

Q: Find the area under the curve y=sin2xcosx for the given limits; sketch the area. Hint: integral in a…

A: Topic:- application of integration

Q: If f(x) = 2x². -x-2 and g(x) = x + 2, then fog and go f may be expressed as f(g(x)) = ax + 3x +y and…

A:

Q: Use the graph of the function to estimate the intervals on which the function is increasing or…

A: We can answer the questions in the following steps.

Q: ess the function G in the form fog. (Enter your answers as a comma-separated list. Use non-identity…

A:

Q: d the equation of the tangent line to the curve y = 5x cos x at the point (7, e equation of this…

A:

Q: di. Use v = L to find the voltage across a 30mH inductor at t = 5ms if dt (round final answer to 2…

A: By using v=Ldidt to find the voltage across a 30 mH inductor at t=5 ms if i=40 sin20πt-π6.

Q: The function f(x) = x³ + 7x² + 7x − 25 is graphed below. Plot a line segment connecting the points…

A:

Q: etermine whether the following relation represents y as a function of -4 -3 -2 -1 y 1 -1 -2 2 3 1 2…

A: Topic:- function      Definition :- The domain is the set of all the input values of a function and…

Q: State the domain: -6 -4 -2 6 2- 0 -2 2 4 6

A:

Q: Solve (x² 1 + 2y) dx + (1 - x²) dy = 0; when x = 2, y = 1 1) (x + 1 + 2 ln x 1|) b. (x + 1) y = (x −…

A:

Q: y=x5, mn=-1/80

A: Given problem:- Find the equation of the line normal to a given curve y=x5 and having a given slope…

Q: Determine whether the function is differentiable, continuous, both, or neither at the value where…

A:

Q: Find the slope of the tangent line to the curve 2x² 4xy + 4y³ = 10 at the point ( − 1, 1).

A: SOLUTION-

Q: 3 2 -1 2 we rational function f(x) = 1 3 Q 20 2.5r2 +4 > identify the int

A: Topic:- calculus       Definition:- If the second derivative of a function is negative on some…

Q: [1/3 Points] f(x) = DETAILS PREVIOUS ANSWERS Find an expression for the function whose graph is the…

A:

Q: 5.5 dy √y.evy 6. Š dx X+ e 7. fete d dx 8. fdx

A: Here we have to find the integral.

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n - 00. n -£ (+ + -)…

A: The given sum is limn→∞∑i=1n4+in8n use the Riemann integral formula, limn→∞1n∑i=1nfin=∫01f(x)dx use…

Q: Evaluate the following integral using integration by parts. Sxe ³x d dx Use the integration by parts…

A: We have given to find integral  ∫xe3x dx Let,  I=∫x e3x dx Using integration by parts ∫u dv=uv-∫v du…

Q: Express a = the limit lim Σ(4(x*)² – 3(x* )³) Aï; over [6, 7] as an integral. n→∞ i=1 Provide a, b…

A: The given limit limn→∞∑i=1∞4xi*2-3xi*3∆xi over the interval 6,7

Q: Determine the type of function shown in the graph below. a) Polynomial function

A: We are asked to determine the graph of the function

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A:

Q: U V U a) f(x) = sin x The trigonometric function pictured here is b) f(x) = csc x O c) f(x) = sec x…

A: we need to find which trigonometry function has the following graph

Q: Find the X-intercepts (x,y) and y-intercept (x,y) and the vertical and horizontal asymptotes.…

A: To use the given graph to find the answer of the given question.

Q: consider the plane region R bounded by the graphs of y = 3/4(x + 3)2, y = 3/4(x − 3)2, y = 3 and y =…

A:

Q: If √x + √y = 12 and y(1) = 121, find y'(1) by implicit differentiation.

A:

Q: 7. Simplify the radical expression √7 a) 26 b) √35 c) 14 d) 196

A: The given radical expression is 7×28 use the algebraic properties, am×bm=abm

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: