Evaluate: Je*cos(7e*)cos(4e*)dx.

Q: Let f(x) = -72* + 59a² + 201¤ + 143 be the function graphed here. Click on the graph and expand…

A:

Q: To begin evaluating sin*x cos°x dx , express A cos x to (cos?x)cosx and use the identity cos?x=1-…

A: We have to use option (A) cos^5x to (cos^2x) ^2

Q: ſla(Ji + s)dt 1.

A:

Q: 4-z² 2-y а zdxdydz = b Find a + b

A:

Q: a/2 sin x Evaluate the improper integral / - "xp² 1– 2cos x A The integral is divergent B 2 - 1 D

A: Given:     ∫π3π2sinx1-2cosxdx substitute u=1-2cosx→dudx=2sinx                   dx=12sinxdu…

Q: sing reciprocal substitution *= the integral - dx reduces t I dz -1) 13 -dz (z?– 1) 1/3 zp- D dz

A:

Q: dx dx is converted to: 4+Vx By algebraic substitution, the integral - 2ydy y+4 B y+4 © [ vdy y+4 dy…

A:

Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = x +7…

A:

Q: Evaluate:- 4 dx ④ -VR-4-2sec-1(즉)+c A =/x2 – 4 + sec + C (c) =2/x2 - 4 + sec -/R-4+2sec-1(즉)+c x2. +…

A: Integration

Q: x dx is equivalent to 5+x If we let =V |5+x, the integral A u (5 = u²) du В u (u² – 5) du | 2(u²– 5)…

A:

Q: Vi -4 dt 1.

A:

Q: T- sinx) ²(1+ sinx Evaluate: sin'x cosx dx sin 10x -+C 10 A sin 10x +C 10 sin x B 8 sinx+C

A: Given query is to find the value of the integral.

Q: Consider the surface F(x, y, z) = x°z³ + sin(y+z5) – 7 = 0. Find the following partial derivatives…

A:

Q: Find an equation of the inverse relation. x=y² - - 7y Choose the correct equation below. O B. y=x -7…

A:

Q: Find the limit of the 4n +2 sequence lim Show your work. n- co V2 n+ 4 ; Determine whether the…

A:

Q: 3x^2 + 42 + xy = 5 and y(5) = - 18, find y' (5) by implicit differentiation

A:

Q: 2x+3, x<1 f(x) dr if f (x) = 5, Evaluate -3 A 21 B 19 28 16

A: fx=2x+3,x&lt;15,x≥1

Q: x +1 8. J x(x+ 4)3 dx

A:

Q: Evaluate: Je*cos(7e")cos(4e")dx. @cos(3e")- cos(ae) - cos(11e") + C A 22 B 증sin(ae")-2Sn(11e")+c B 1…

A:

Q: Question 6 To begin evaluating J sintrecor^rdx comvenienty, express: sin'x as (sin²x) ²and use the…

A: Here we put cos^5x as (cos^2x)^2 cos x and then  Use the identity cos^2x=1-sin^2x.

Q: . Using the vectors in the previous item, which of the following vectors makes an angle of 90° with…

A:

Q: sin'x cos x dx Evaluate: (1– sinx)²(1+sinx)² sin 10 +C 10 A sin8x sin 10x +C 10 B 8 sin8x +C 8 D)…

A:

Q: sin(en sin-lx )dr =- cos( sin-!x) +C V1-x? A) True B) False

A: To solve the following integral

Q: For the function f, use composition of functions to show that f 1 is as given. 7x -7 f(x) = 7x+1,…

A:

Q: Question 15 The x²-4 dx can only be evaluated using trigonometric substitution technique . A True В…

A: Follow next step

Q: dx dx is converted to: 4+Vx By algebraic substitution, the integral - 2ydy y+4 B y+4 © [ vdy y+4 dy…

A: Given, u= ∫dx/(4+√x) We can solve it by substitution method.

Q: 9=3 Sin 2X 2.

A: answer is in next step

Q: dx - is 2/x - Sin| x +s|+c. Vx +5 The antiderivativeof - A) True B False

A:

Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. 3 f(x) = 3x +x +x-4, k= - 1…

A: Find your answer below

Q: If  ?⃗×?⃗ = ⟨−3,5,−4⟩ and ?⃗⋅?⃗ = 4, find tan(?), where ? is the angle between ?⃗ and ?⃗.

A:

Q: © J tane x*dx Using trigonometric substitution technique, the simplified integral after substitution…

A: sec2(x)-1= tan2(x)

Q: To evaluate | sin42x cos 2xdx conveniently, the formula/identity to be used islare A sin²2x=1–…

A:

Q: To evaluate y-csc²(y³)cor²(y³)dy, we let u =cse (v³) A True B) False | csch2zdz =-In|csch2z –…

A:

Q: (4x2+ 5x4)dx By method of partial fraction, the integral | - can be evaluated when expressed as…

A: We find out the partial fraction decomposition of given integral. Follow 2nd step.

Q: Insec² (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y A In…

A: Explained below

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Explained below

Q: Suppose that $83,000 is invested at 3-% interest, compounded quarterly. a) Find the function for the…

A: $83,000 is invested at 312% interest, compounded quartely

Q: Question 10 [i[cosh:(2x²) – sinh ( 2x³) ]dt is equal to A © Sude xdx E None

A: Integration

Q: To evaluate y-csc²(y³) cor²(y³)dy, we let u =csc(y³) (A) True B) False

A:

Q: is 2/x – Sin|/x+s| +C. Vi+s The antiderivativeof A) True B) False

A:

Q: Consider A = (0, 4, 2) , B =, (6, –1, 0) and C = (3,0, 1). 1 (a) Find the unit vector having the…

A: The given vectors are: A=0,4,2, B=6,-1,0 &amp; C=3,0,1

Q: By algebraic substitution, the integral - dx dx is converted to: 4+Vx 2 dy A y+4 2ydy B У+4 ydy (C)…

A:

Q: e4x dx Which of the following trigonometric substitutions is the most appropriate to the intgral -…

A: The given integral is e4x/(4e2x+9)3/2.

Q: f(x) = x* - 2x? ... Choose the correct graph below. O A. В. C. D. Ay 10- -40

A: Given query is to find the graph is the function.

Q: f(x) = x4 %3D 1-a4

A: answer is in next step

Q: Find an equation of the inverse relation. x°y= -7 3 ... Choose the correct equation below. O B. y= -…

A:

Q: The given graph is a graph of a one-to-one function f. Sketch the graph of the inverse function f O…

A: Inverse function of a Graph : The inverse of the function y=f(x) can be written as x=g(y) or…

Q: sin?u tan"u du where n is any integer, we use the transformation for tan?u = cos?u In A True B False

A:

Q: Match each set of triangle measurements with the specific case you would use to solve for the…

A:

Q: 12

A: