Q3. a. Evaluate the line integral e xey ds, where C is the line segment from (-1,2) to (1,1) and ds is the differential with respect to arc length (refer to the formula in finding arc length in Calculus)

Q: licıt difterentiation to find an Usx imp equation of the tangent line to the curve 5xy° +xy=48 at…

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Q: Find the smallest positive value for for which the tangent line to the curve r = 8 = Question Help:…

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Q: What is the slope of the tangent line to the curve given by x=sin(y) at the point (0, 37)? O-1 O 1 O…

A: Given x= sin (y). Slope of tangent line is  = dx/dy Differentiation of sine is cos .

Q: Find the eguation of the tangent Line to the CUrre y= Cos( Son)e) at the Point mith coordinates (T)…

A: Given curve is, y=cos(sin(x)) we have to find the equation of the tangent line at the point (π,1) of…

Q: Prove or disprove: there is at least one straight line normal to the graph of y = cosh x at a point…

A: Given Data The equation of the curve at the point (a, cosh a) is: y=cosh x The equation of the curve…

Q: Prove the formula for the derivative of a) (Inverse of cotangent) b) (Hyperbolic cosecant) y = csch…

A: formula for derivative of both function is following:-

Q: 3. Find the slope of the tangent at x = 1 for y = ln(2x + 3) a) 2 b) = d) In(5)

A: As per Bartleby guidelines rule I am answering only first question as both question are different…

Q: Equation: Answer:

A: We want to find value of x. For this we use Pythagoras theorem, which states that Hypotenuse2 =…

Q: The slope of the tangent line to the curve ln(cy) = z² at the point (1, e) is 0 00 Ove Oe-¹

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 3)Option C is correct answer  4)Option A is correct answer  Explanation:

Q: ) Let f(-4) = 3 and f'(-4) = 6. Then the equation of the tangent line to the graph of y = f(x) at x…

A: Given:

Q: Find an equation of the tangent line of y = e" cos T, at z= 0.

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Q: Fin the slope of the tangent line for  r = e-(theta) at theta = pi

A: The slope of a tangent line of a function f at a point a is the derivative of the function at that…

Q: Find the derivative of y=arcsinx with respect to x || 3x? b. V1-x 1 3x2 1 а. С. d. .6

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Q: Let 13 20 x 20+ y = 2 be the equation of a curve in the xy-plane. Find the equation y = T(x) of the…

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Q: For the curve r-y +2xy-y+1=0: a) Find the derivative dy/dx. b) Where do the horizontal tangent lines…

A: follow the next step

Q: V. The tangent line at the point (t, y) = (- to 4'2 1 Then, the curve y = cos t is y = bt - - - a a…

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Q: Calculate the tangent line to y=2v cosv - e at v= pi/2.

A: Calculate the tangent line to y=2v cosv - e at v= pi/2

Q: 7. Find f'(x) given f(x) = 2x° In x

A: We have to zeroth derivative of function