Question 15 If h(x): cosxdx and h =4, then h(0) is equal to A B) None -4 D. -3 E

Q: Solve cos(3 – 5z) =1. Solve the equation for æ without evaluating the inverse function. (Your answer…

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Q: Solve 8 sin (6x) = 3 for the two smallest positive solutions A and B , with A

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Q: Fincd the inverse matrix by cofector u A= 3 2

A: Given query is to find the inverse matrix.

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: 1 6. cos-xdx cos* xdx xprt.

A: We need to solve the integral.

Q: Evaluate the line integral, where C is the given curve.   z2 dx + x2 dy + y2 dz,   C C is the line…

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Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 - cos(3e") - -cos(11e*) +C 22 sin(3e") - sin(11e*) + c 22…

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Q: The form of decomposing a single irreducible quadratic factor in agiven inteeral is / (2ax+b)A+B dx.…

A: To write that it is true or false.

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A: Here, the given functions are: D(x)=100x, S(x)=x

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Q: Evaluate: Je*cos(7e*)cos(4e*)dx. ④ 금Sn(3e)- sin(11e")+C sin(11e*) + C 22 A © -cos(ae)- cos(11e) +c…

A: The given integral,   ∫excos7excos4exdx

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Q: x e' dx Using integration by parts to evaluate it is best to let (x+1)2"

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Find the particular solution determined by the initial condition. ds 191? + 3t – 5; s(0) =75 dt The…

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Q: that

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Q: If k is any real number, prove or disprove that sinkx 1. lim x→0 kx 1.

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Q: 1-coskx 2. lim kx = 0.

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Q: If h(x) = cosxdx and h =4, then h (0) is equal to 4 | (A) - 4 B None 3 D -3 (E 4

A: Explained below

Q: Suppose g is a function which has continuous derivatives, and that g(8) =-2, g(8) = 3. g"(8) =-4,…

A: Taylor polynomial:g(x)=∑n=0∞ gn(a)n!(x-a)n  a=8g(x)=g(8)0!(x-8)0+g'(8)1!(x-8)1…

Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges…

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Q: To evaluate sin*2x cos 2x dx , the identities to be used is/are: 1+ cos4x A sin4x & 2 2 B cos²2x= 1-…

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Q: Find the general solution of 2 4 4 X' = -1 -2 0 X. -1 -2

A: To solve the following problem

Q: 3. Compute ahi-fin Lireh-fi for the following functions: and lim h40 a. f (x) = sin x

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Q: ax +3, if x<2 bx² +2, if x 22 f(x) =- It is given that f(1 and f(2) = 6. Find the value of f(a+b). O…

A: We will put all the values to find the values of a and b .

Q: 12

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Q: find (a) (f + g)(x), (b) (f - g)(x), (c) (fg)(x), and (d) (f /g)(x). What is the domain of f /g? i.…

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Q: Determine whether the series (-1)". converges or diverges. Vn3 +2 n=1

A: Apply Leibniz test for convergence

Q: Find an equation of the tangent plane to the surface z = læ? + 2y² + 2x + 1y +3 at the point (2, 4,…

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Q: Find the critical points of the following function. 1 Inx f(x) =

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Q: d. Without doing any computations, what do you expect to be the instantaneous velocity of the ball…

A: Since   s(t) = 64 - 16(t - 1)² As we can see that at t = 1 , the above quadratic equation has its…

Q: Exercises Use the trapezoidal rule of integration to determine the value of the following integrals…

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Q: sin(e* ) dx sin - cos( sin-1x) + C 1-x

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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: Find (a) the general solution and (b) the particular solution for the given initial condition. y' =…

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

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Q: a. f (x) sin x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use Theorem 7.4.3 to find the Laplace transform F(s) of the given periodic function. F(s) = f(1)4 1…

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Q: TT sin 5. Approximate dx by Simpson's rule with seventh ordinates?

A: Simpson's Rule:    ∫abf(x)dx=∆x3f(x0)+4f(x1)+2f(x2)+...+2f(xn-2)+4(fn-1)+f(xn) Where, ∆x=b-an We…

Q: Find the function f given that the slope of the tangent line to the graph of f at any point  (x,…

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Q: 13 Convert x 2 + y 2 - 2x = 0 to a polar equation. r = 2cosθ r² = 2cosθ r = 2sinθ

A: We have to find the polar equation

Q: Question 20 ) dm: -2m cosh2m dm A) True B) False

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Q: Use the compound interest formula to find the account balance A, where P is principal, r is interest…

A: Principal =$140000 Rate=4.5% Compounded =annually  Time=20.

Q: Find the radius of convergence and interval of convergenc of the power series. 17. E (-1)"4" x" yn…

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Q: 1,0 10 A graph of f(x) is shown above. Using the geometry of the graph, evaluate the definite…

A: According to the policy, I am providing the answer of first three subparts. Explanation of the…

Q: orrect choice below and, if necessary, fill in the answer box(es) to complete your choice. The…

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Q: „Insec2 (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y A None B…

A: See the answer below

Q: Question 1 To evaluate sin 2r cosº2xdx conveniently, the formula identity to be used is/are A cos 2r…

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Q: Consider the series Σ 1+ 6n n=0 If we let f (x) = then f f(r) dr %3D 1+6 x O is finite. O is not…

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Q: Consider the graph of the function g(x): 4 y = g(x) 4 7 x The graph from x = 2 to x = 6 is a…

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Q: dx , if we let u =V 25 – x² , then udu = - xdx. (A True B False

A: Given query is to find statement is true or false.