5+ cos a

Q: what is the graph of x^2-y^2+6x-4y-4=0

A: Topic :- Geometry

Q: A plane meets the coordinate axes in A, B, C. If the centroid of AABC is (a, b, c). Show that the eq...

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Q: 3. [ Ve* – 9dx

A: Substitute,  u = ex  − 9   →   dudx = ex ⟶   d x = e-x du  = ∫ uu+9du Substitute  v = u  →   dvdu= 1...

Q: 1) Find the Inverse Laplace Transform of the given function. 3s? – 3s +8 - (s² + 4Xs – 3)

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Q: Solve for A & B using an addition or subtraction formula to find the exact value of  sin(19/12)pi =...

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Q: f(x) = sin x + cos x on [0, Tt] Find absolute maximum andminimum

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Q: Find the derivative of 2 cos x 1. f(x) x+1

A: As we know that: The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 Given: fx=2cosxx+1

Q: rewrite cos(x-(11pi/6) in terms of cos(x)and sin(x)

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Q: The diameter of a sphere is measured to be 40cm. If an error of 0.02cm is made in it, then find the ...

A: diameter is 40 cm, so the radius is 20 cm. Hence, error in radius is 0.01 cm.

Q: The graphs of x = 4, y = f(x) (solid) and y = g(x) (dashed) are shown; the graph is not drawn to sca...

A: We have to find the integral by Washers method.

Q: Find the derivatives of 20 log(tan x)

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Q: 4. Find the tangent line approximation T to the graph of F at the given point. Then complete the tab...

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Q: Find the derivative of the function. 14) f(t) = (3 - t)(3 +3)-1 %3D

A: Given the function f(t)=(3−t)(3+t3)−1

Q: 13. Show that the following sequence converges by showing it is increasing with an upper bound or de...

A: Given query is to show that sequence is converging.

Q: Find the direction cosines and angles of u and show that cos? a + cos? B + cos? y = 1. (Round your a...

A: The vector is given as , u→=i^+4j^+8k^ find the direction cosines and angles.

Q: 8K Use Green theorem to eva luate the . line integral : 3. 3 where c is ニ thecircle

A: Given the line integral 

Q: O y = x + 1. 10. Which of the following rational functions has a hole? x-1 x+1* x² –1 x²+1° -1 ³+1 x...

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Q: Use the first three non-zero terms of the Maclaurin series of f(x) estimate In(cos x) dx In(cos x) t...

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Q: The diameter of a sphere is measured to be 40cm. If an error of 0.02cm is made in it, then find the ...

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Q: Let f(z) = cos and g(z) = tan-(10z) Then if h(z) S(z) find: 9(z) h'(1) = N(즉) = |

A: The given functions are  f(x) = cos-1x/5 , g(x) = tan-110x   If, h(x) = f(x)/g(x)  Find h'(x) and h'...

Q: A pole 8 meters long is carried horizontally along a corridor 3 meters wide and into a second corrid...

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Q: An open box is to be made from a square piece of material by cutting equal squares from each corner ...

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Q: Find'c', so that f'(c)= "(b)-f(a), in the following case: b-a f(x) = x² - 3x - 1; a = -11 13 b %3D 7...

A: f(x)=x2-3x-1 ; a=-117, b=137

Q: Find the exists. 5 x а. lim 3 5x'+1 b. lim 10х-3x +7

A: Given that: a. limx→-∞5x-x3b. limx→∞5x3+110x3-3x2+7c. limx→∞5x2+2x2+3

Q: Find'c', so that f'(c)= "(b)-f(a), in the following case : b-a -11 f(x) = x² - 3x - 1; a = - 13 b = ...

A: topic -derivative

Q: Who discovered calculus first? Who invented the notation 4?

A: We have to find

Q: At which r-values is the following function g differentiable? Explain and compute, where necessary. ...

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Q: 2. fcos Jidt

A: Please see the below picture for detailed solution. 

Q: 2. Given that y= -- Use a limit to find the instantaneous rate of change of y with respect to x at x...

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Q: Find an equation in standard form for the ellipse with center at (5, 4), horizontal axis of length 8...

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Q: If f (x) = x2 + 2x -1, show thatf (x) satisfies the hypothesis of the Mean Value Theorem on the inte...

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = In(cos(In 0)) %3D

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Q: V1+x -1 Find Lt

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Q: Questron 5. Check whether the relation R in R defined by R = {(a, b): a < b³} is reflexive, symmetri...

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Q: An open box is to be made from a square piece of material by cutting equal squares from each corner ...

A: topic :- Application of derivative Dimension of box  Base=4 cm Height = 1 cm

Q: 1. Logarithms and exponential functions are inverse functions. What does that mean?

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Q: Let (1– cos(z) 1+ cos(z) , f(r) = 5 Evaluate f'(z) at z = }. f(플) =

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Q: 7. (xsin x'dx

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Q: Find the​ equation(s) of the tangent​ line(s) to the graph of the indicated equation at the​ point(s...

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Q: Cind The sola -5.dx 6:10 PM A

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Q: 1. Suppose: f(x) = 2x + 5, g(x) = - x². a. Find g 8(S(x)) 'b. Is g(f(x)) one to one? Justify your an...

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Q: Find the​ equation(s) of the tangent​ line(s) at the​ point(s) on the graph of the equation y 2−xy−6...

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Q: Identify which of the following functions require chain rule application to obtain their derivatives...

A: Chain rule is applicable for Composition of two functions only

Q: 3. dy = (x – 3y)dx

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Md⏟Take 'y'...

Q: The diameter of a sphere is measured to be 40cm. If an error of 0.02cm is made in it, then find the ...

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Q: Let P be the parabola with focus at F(−1, −2) and directrix equation x = −3. Let C be the circle cen...

A: Follow the next step

Q: Find the derivatives of 20og(tan

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Q: (g) z-1 1+! (h)) u = 1 z +1 (i) y= cos vsin(tan Tx) (j) tan(x/y) = x + y %3D

A: As per our guidelines we are supposed to solve only first three subparts of your first problem. For ...

Q: Set B (x+7)(x-3) 20 20 x+6 x+7 <0 x-5 x+3 20 x-10 1. x-1 x+3 3. 2.

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Q: Find the slope of the tangent line to the curve 12(2 + )? = 625(x² – }) (a lemniscate) at the point ...

A: Slope of tangent line is the first derivative of given curve at point ( x , y ) . Slope = dy / dx  a...