Given R(t) = 4 cos ti + (1+ 3cost)) + 5sintk. Find R'(t).

Q: What is the equation of the line tangent to the hyperbola = 1 at the point (V2a, b)? y = -a+b 26 V26...

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Q: Find the limit (if it exists) or select it does not exist. 10y2 (x.y)-(0,0) x + y lim O A. O B. Limi...

A: We can solve limit as follows  

Q: Sx? cosx dx

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Q: evaluate f(x)=5x^4+x^3-4x^2+2x+5 using synthetic substition to find f(1). please show work!

A: Given query is to find the value of the function using synthetic substitution.

Q: Given: f(x) = 1/x, find f(0.01+h) - f(0.01) / h

A: f(x) =1/x 

Q: 2x+3 (1) Find the domain of the function H(x) = x' - 4x (2) Solve the following (i) |10–3x|517 (ii) ...

A: Topic = Functions

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x ...

A: Given problem:- Use the shell method to find the volume of the solid generated by revolving the regi...

Q: dy d) dx cos(x + y),when x = 0, y = | 4

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Q: Find the equation of the tangent line to the graph of f(t) = 25 + 7e−3t2 at t = 4

A: we have to find equation of tangent line . 

Q: ng of a drug in a person's system t hours after the drug is administered. ml -0.22t If C(t) = 53.7t ...

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Q: For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the gi...

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Q: Find the difference quotient for: F(x) = 5/

A: The given function is:F(x) = 5x     To find difference quotient 

Q: If C(t) = 18.5t e--0.1t measures the ng , of a drug in a person's 140- concentration, in ml' 120- sy...

A: Given minimum effective concentration = 30ngml                                                      ...

Q: 9. k(x) = 3(x- 1)-

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

Q: Evaluate f(x)= −5x4−2x3+4x2−5 using synthetic substitution to find f(−1). please show table work. th...

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Q: 2. Determine whether Rolle's Theorem can be applied tof on the closed interval [a,b]. If Rolle's the...

A: Here rolles theorem is applicable. 

Q: 7. cos(x + y), when x = 0, y - dx

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Q: Suppose A and B are non-zero vectors in R. If A•B = 0, then A and B are parallel. True False

A: Follow next step

Q: transformations

A: Please refer to the image below

Q: only c and d

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Q: 1 i. g(x)= 3+9x? 1- 5 (Ans: (x+ x²)*. X + (x+ x -3 X + (x + x³ ) ³

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Q: An employee's monthly productivity M, in number of units produced, is found to be a function of the ...

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Q: Convert the Cartesian coordinate ( – 5, 2) to polar coordinates, – 27 0. No decimal entries and ans...

A: Cartesian coordinate(x,y) to Polar coordinate (r,θ): add 180o when the point(x,y) lies in the seco...

Q: Let f(x) = 7x- 13x-6, x2 1.5. Find the value of df 1 at the point x 234 = f(4). dx The value of dx (...

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

Q: Write an equation for the tangent line to the curve y - x= 2 at the point (1,V3). O A. x-2/3y+5=0 O ...

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Q: (u* + v4)du – uv'dv = 0 1 1 и Option 1 Option 2 1 1 u5 Option 3 Option 4 None of the choices

A: Given differential equation, M(u,v)du+N(u,v)dv=0 Let 1N∂M∂v-∂N∂u=f(u), a function of u only Then e∫1...

Q: visitor is staying in a cottage that is 7 miles west of the closest point on a shoreline to an islan...

A: A visitor is staying in a cottage that is 7 miles west of the closest point on a shoreline to an isl...

Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/20^2 +y^2/11^2=1. The rectang...

A: Explained below

Q: Write the exponential equation - 10y in logarithmic form. QUESTION 17 5х — 1 Rewrite the expression ...

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Q: Find the volume of the solid whose base is the semicircle y = v9 – x2 where -3 < x < 3, and the cros...

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Q: 2.3 Assume that the relation z +x*y° + tanh (2xz + 6x°y² - 26) 65 + 37y defines y = - implicitly as ...

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Q: 13.

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Q: Find all zeros, real and non-real, of f(x)=x3−9x2+19x+29. Additionally, fully factor the function, i...

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Q: Use the graph of f to state the value of each quantity, if it exists. If infinite, specify either o ...

A: We have to find the limit at the given function from the given graph.

Q: The following curve in polar coordinates represents a circle. Find the center of the circle (h, k) C...

A: Given query is to find the centre of the circle.

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 3 sin(x) + 3 cos(x), 0...

A: Solution: f(x)=3sin(x)+3cos(x)       on the interval: [0, 2pi] Take the derivative to both sides of ...

Q: 15 a) || dy dx answer: 4 -2 0

A: Given: I=∫-2-1∫0x3dydx   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: SDT. Let f(x) 2x3 – 39x2 + 252x + 71. Classify the critical point x = 7 of f(x) using the Second Der...

A: Find your answer below 

Q: A small funnel in the shape of a cone is being emptied of fluid at the rate of 14 cubic centimeters ...

A: For the solution follow the next step.

Q: The position of a particle moving along a coordinate line is s=sqrt19+6t​, with s in meters and t in...

A: Given; st=19+6t   As we know that; The Power law; ddxxn=nxn-1 The Chain rule; fgx'=f'gx·g'x

Q: For what value of m is the value x=-1 a zero of the function f(x)=2x^3+mx^2−2x−1. Please show work!

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Q: dy Find dx2 18x? + y? = 7

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Q: 3. Use g(x)=e* (x-a) and g'(x) =-2e (x-a)(x-ax-1) to answer the questions. a) Find lim g(x) and lim ...

A: This question is based on Finding limits using L hospitals rule.

Q: Find the derivative of the function. Functions f(t) = (3t + 18)2/3 Symbols Relations f "(e) = Sets V...

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. c...

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Q: QUESTION 15 At the end of an advertising campaign, weekly sales declined according to the equation-s...

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Q: Given the following vectors a = (-1,-2),5 = (-3,-4),c = 2,-1), d = (-4,3) Use the dot product and sc...

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Q: Given z=. Find z z„= -2x , = 2x*3 Option 1 Option 2 z„- -2x Option 3 none of the above

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Q: Forces of 10 and 20 pounds act on a point at an angle of 45º with respect to each other. Find the ma...

A: Solution is written in below steps.