Find & l or In the direction of the given vector. 19) 14 B) 2/3 2/3113 2/3 2/3113 2/92/9 119

Q: sinh x – 1 dx cosh x

A: The given integral,        ∫sinhx-1coshxdx

Q: 6. Where are the following functions di: x+2 a) f(x) = %3D V(x+2)x

A:

Q: Find all critical points of the function f(t) = t – 4/t + 1. (Use symbolic notation and fractions…

A:

Q: What are the local extreme values of the function f(x) = x - 3x² + 2?

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Q: Give an example of a differential equation  and  classify according to   order, degree ,linearity…

A: answer is in next step

Q: Maximizing construction costs The management of the UNICO department store has decided to enclose an…

A: answer is in next step

Q: answer

A: We will find the second derivative.

Q: The polar coordinates of a point are given. Plot the point. 57 T/2 T/2 3 2 2 -3 -2 -1 1 2 3 -3 -2 -1…

A:

Q: The following series is divergent: 3n 3n Зп — 6. - 3 — 2п | n=1 Select one: O True O False

A:

Q: Evaluate, with an exact value, the definite integral º -1/1+a dx.

A:

Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y…

A: We need to find the slope and the equation of the tangent line tothe following curve:3. y=3x2+2 at…

Q: QUESTION 15 Not yet answe Find the domain and the vertical asymptotes, if any, of the following…

A: We have to find out the domain and asymptote

Q: dy 18. 0 do 2y = 0 sec 0 tan 0, 0 > 0, y(7/3) = 2

A: Given problem:- θ dy/dθ -2y=θ3 sec(θ) tan(θ) , θ>0, y(π/3) =2

Q: How to compare two numbers using binomial theorem. Explain step by step

A: Binomial theorem is a very powerful mathematical tool when it comes to comparing complicated…

Q: The integral of the given function J_1 Jœ+2X3=x) dx is equal to a. Arcsin 0.2 + Arcsin 0.6 b. Arccos…

A:

Q: For j(z) = (3x2 - 7) (-2x* + 7x), find j' (x) by applying the product rule. Provide your answer…

A: j(x)=(3x2-7)(-2x3+7x) The product rule is: (fg)'=f'g+fg' From above:  f(x)=3x2-7g(x)=-2x3+7x Now,…

Q: Which of the following statements is true about the function f(x) = x' - 6x²? a. The graph of f is…

A: We will check second derivative to find concave up and concave down.

Q: 4. S(x² – 1) Vx + 4 dx

A: Solving

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

A:

Q: Question 22 Evaluate the integral, using substitution if necessary. tan(22 )dar, + C

A: To evaluate: I=∫tan(2x) dx Substitute 2x=t⇒2dx=dt⇒dx=12dt: I=∫tan tdt2=12∫sin tcos tdt

Q: 00 (-1)2n Vn² + 6n n=1

A:

Q: Find the gradient field F of the function f. 7 8 f(x.y,z) =x°e x +y'z O A. F= (5+8x)x*e *i+7y®j+8z°k…

A:

Q: Which of the following integrals will yield In u+ C? A. SE B. S- x+1 D. S dx xdx C. S 2rdx = x+1 O…

A: From the following integrals will yield ln u+C Note:     Multiple questions are given, we are answer…

Q: a.How long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the time taken to double the investment.

Q: Q1) Using numerical integration to estimate the area (r=4 )and c(4,0) with n=4 of the semicircle

A: Trapezoidal rule: One of the most significant integration rules in Calculus is the "Trapezoidal…

Q: A quadratic polynomial y = 4x2 + 7x – 3 has roots p and q. Find a quadratic g(x) x2 + ax + Bwith…

A:

Q: The solutions of the given modulus equation |3x – 7(4x – 2)| = 5 are - 9 19 19 9 19 25 ' 25 9 9 19…

A: The given modulus equation,   3x-74x-2=5

Q: Find the derivative of the function. Vs - 3 f(s) = Vs +3 %3D

A:

Q: blc (x-) got cancelled out »PW-x(x-1) (x+) 7. For what value(s) of c is f(x) = 4- x°, cr2 + 13 x <…

A: Solving

Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle a. P(5,5) tane = %3D -1…

A: Given query is to find the value of the indicated function.

Q: Eliminate the arbitrary constants on the given equation: y = Ae + Bxe" O y = y' – 2y O y' + 2y +y =…

A:

Q: Let i denote the square root of – 1. For the two complex numbers z = 3e# and w = 6e'† find z. w.…

A: We have to find the multiplication of complex numbers.

Q: From the textbook: Let f be the function in the graph below. (1) Going from left to right, this…

A:

Q: f (x+h)- f(x) 7x3-2x-1 Using lim-0 Find the slope of the tangent line y 5x+2 h at x = -1.

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Q: Compute the given integral. fain' sin" x cos xdx +C

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Q: If the derivative dx (instead of .) exists at a point and dx = 0, then the tangent line at that…

A:

Q: Compute the following limits: cos (x) (i) lim x3 tan(3x) (ii) lim

A:

Q: 19 Four different roads from Town A to Town B, and three different roads run from Town B to Town C.…

A: We will Break this question into two parts.

Q: Find the minimum and maximum values of the function y = 1613 + 24t² on [1,2] by comparing values at…

A: Explained below

Q: fex) = I+ sinu x f(x) = 1T fcx) =-15 * sinux - secos4X %3D = -15 e sin4X- se"cos4X mL

A:

Q: (yt + y)dy + ty dt = 0.

A:

Q: 20 The slope of the function ƒ(x) = 5x - 5 is ______. 1 -5 5 -1

A:

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 12 –…

A:

Q: The following series is not an alternating series. (-1)2n n=1 Vn2 + 6n Select one: O True O False

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: L, V4 – x²dx.

A:

Q: Use the Chain Rule to find dw/dt. w = xey/z,    x = t5,    y = 1 − t,    z = 3 + 7t

A: To find out dw/dt.

Q: 12. In a weighted voting system with four players the winning coalitions are: {P1, P2 }, {P1, P2,…

A: answer is in next step

Q: The graph of a function f is given below. According to the graph, f'(x) < 0 on (-1,0). y y = f(x) -2…

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A:

Q: lim 1 n- 00 n V1+x on [0, 2] 2/1 + x on [0, 2] 2/1-x on [0, 2] 2/1 + x on [-2, 2] Y1+X on [-2, 21 키

A: